Дисертації з теми "Nuclear problem"

This thesis is a critical examination of phenomenological nuclear mean field theories, focusing on reliable description of levels of individual particles. The approach presented here is new in the sense that it not only allows to predict the numerical values obtained with this formalism, but also yields an estimate of the probability distributions corresponding to the experimental results. We introduce the concept of 'theoretical errors' to estimate uncertainties in theoreticalmodels. We also introduce a subjective notion of 'Predictive Power' of nuclear Hamiltonians, which is analyzed in the context of the energy spectra of individual particles. The mathematical concept of 'Inverse Problem' is applied to a realistic mean-field Hamiltonian. This technique allows to predict the properties of a system from a limited number of data. To deepen our understanding of Inverse Problems, we focus on a simple mathematical problem. A function dependent on four free parameters is introduced in order to reproduce 'experimental' data. We study the behavior of the 'fitted' parameters, their correlation and the associated errors. This study helps us understand the importance of the correct formulation of the problem. It also shows the importance of including theoretical and experimental errors in the solution.

The no-core shell-model approach has proven to be extremely useful for the theoretical determination of the properties of light (A ≤ 12) nuclei. However, at present this method does not accommodate a three-nucleon interaction into the potential that it employs. The problem is introduced with a largely historical development of both the effective interaction formalism and three-nucleon interactions, placing the motivation in context. This work makes a first attempt to incorporate such a three-nucleon interaction into the no-core shell-model ansatz. To this end, a variant of the two-pion-exchange Tucson-Melbourne three-nucleon interaction has been chosen. A three-body translationally-invariant harmonic-oscillator basis is constructed, and matrix elements of the three-nucleon interaction in this basis are calculated. The majority of this is accomplished through standard angular-momentum algebraic techniques, with the most expensive component being the spatial one, as it requires a transformation of the basis set with computationally intensive transformation brackets. Given the ability to determine the matrix elements for the chosen Tucson-Melbourne force, the practicality of employing these in calculations is demonstrated, with calculations on the three-body nuclei ³H and ³He. These are simple calculations, where the Tucson-Melbourne matrix elements are added to those of the two-body effective potential (a slight inconsistency which future studies will aim to fix). The dependence of binding energies on the harmonic-oscillator parameter, hΩ, and the Tucson-Melbourne cutoff parameter, Λ are examined. The former is found to be small in the range of hΩ considered, while the latter is shown to be consistent with previous works that have explored this dependence using other methods. The convergence of the binding energy with increasing model space size is slow, but this is perhaps attributable to the unrenormalized nature of the three-body matrix elements. The ultimate aim of this research is to find a viable method for constructing a three-body effective interaction from a given "realistic" three nucleon interaction, for use in no-core shell-model calculations. The current work demonstrates that such a scheme is feasible, and should yield results more consistent with experiment. Such a three-body effective interaction should also achieve quicker convergence with model space size than shown here, as the three-nucleon matrix elements will be renormalized to account for the geometry of the model space. Thus, one will have constructed an ab initio method for calculations on light nuclei, that includes a three-nucleon interaction, and converges quickly in the determination of nuclear properties.

The interpretation of Nuclear Magnetic Resonance (NMR) spectra to produce a 3D protein structure is a difficult and time consuming task. The 3D structure is important because it largely determines the properties of the protein. Therefore, knowledge of the 3D structure can aid in the understanding of its biological function and perhaps lead to modifications which have an enhanced therapeutic activity. An NMR experiment produces a large 2D data spectrum. The important part of the spectrum consists of thousands of small cross peaks and the interpretation task is to associate a pair of hydrogen nuclei with each peak. Manual interpretation takes many months and there is considerable interest in providing (semi-) automatic tools to speed up this process. The interpretation is difficult because the number of combinations can quickly swamp the human mind and the spectrum suffers from peaks overlapping and random noise effects. ASSASSIN (A Semi-automatic Assignment System Specialising In Nmr) is a distributed problem solving system that has been implemented in the identification of peaks associated with the hydrogen nuclei at the end of long side chains. These results are then passed onto the structural assignment stage. The structural assignment stage is a feedback loop which involves the interpretation of a spectrum and the generation of preliminary structural models. These models can then be used to simplify further analysis of the spectrum. ASSASSIN uses a constraint manager implemented in CHIP to analyse this data more quickly and thoroughly than a human. The results of this work reveal that a constraint based approach is well suited to the NMR domain where the problems can be easily represented and solved efficiently.

Orientador: Marcelo Takeshi Yamashita
Banca: Lauro Tomio
Banca: Marijana Brtka
Resumo: Este trabalho foca no estudo de sistemas de poucos corpos em duas dimensões no regime universal, onde as propriedades do sistema quântico independem dos detalhes da interação de curto alcance entre as partículas (o comprimento de espalhamento de dois corpos é muito maior que o alcance do potencial). Nós utilizamos a decomposição de Faddeev para escrever as equações para os estados ligados. Através da solução numérica dessas equações nós calculamos as energias de ligação e os raios quadráticos médios de um sistema composto por dois bósons (A) e uma partícula diferente (B). Para uma razão de massas mB/mA = 0.01 o sistema apresenta oito estados ligados de três corpos, os quais desaparecem um por um conforme aumentamos a razão de massas restando somente os estados fundamental e primeiro excitado. Os comportamentos das energias e dos raios para razões de massa pequenas podem ser entendidos através de um potencial do tipo Coulomb a curtas distâncias (onde o estado fundamental está localizado) que aparece quando utilizamos uma aproximação de Born-Oppenheimer. Para grandes razões de massa os dois estados ligados restantes são consistentes com uma estrutura de três corpos mais simétrica. Nós encontramos que no limiar da razão de massas em que os estados desaparecem os raios divergem linearmente com as energias de três corpos escritas em relação ao limiar de dois corpos
Abstract: This work is focused in the study of two dimensional few-body physics in the universal regime, where the properties of the quantum system are independent on the details of the short-range interaction between particles (the two-body scatter- ing length is much larger than the range of the potential). We used the Faddeev decomposition to write the bound-state equations and we calculated the three-body binding energies and root-mean-square (rms) radii for a three-body system in two dimensions compounded by two identical bosons (A) and a different particle (B). For mass ratio mB/mA = 0.01 the system displays eight three-body bound states, which disappear one by one as the mass ratio is increased leaving only the ground and the first excited states. Energies and radii of the states for small mass ratios can be understood quantitatively through the Coulomb-like Born-Oppenheimer potential at small distances where the lowest-lying of these states are located. For large mass ratio the radii of the two remaining bound states are consistent with a more sym- metric three-body structure. We found that the radii diverge linearly at the mass ratio threshold where the three-body excited states disappear. The divergences are linear in the inverse energy deviations from the corresponding two-body thresholds
Mestre

Orientador: Eduardo Pontón Bayona
Banca: Gustavo Alberto Burdman
Banca: Rogério Rosenfeld
Resumo: O problema da hierarquia no Modelo Padrão surge devido à presença de divergências quadráticas provenientes de correções quânticas ao parâmetro de massa do bóson de Higgs. O presente trabalho trata sobre um recurso conhecido como Supersimetria Dobrada (Folded Supersymmetry), que pode ser usado para construir extensões do Modelo Padrão que estejam livres dessas divergências. Dado que a contribuição do top quark é a mais significativa, este trabalho se propõe centralizar nele demonstrando que o cancelamento é possivel mediante um parceiro do top quark de spin oposto e carga de cor diferente ao da particula top. Deve-se notar a diferencia com as teorias supersimétricas, onde o parceiro, apesar de ter spin oposto, necessariamente possui a mesma carga de cor. Finalmente, construimos uma teoria com uma dimensãao espacial extra que serve como UV Completion para explicar a origem dos cancelamentos à energias maiores
Abstract: The hierarchy problem in the Standard Model arises due to the presence of quadratic divergences coming from loop corrections to the mass parameter of the Higgs boson. The present work reviews a tool known as Folded Supersymmetry that can be used to build Standard Model extensions which are free of those divergences. Since the top quark contribution is the most significant, this dissertation focuses on it showing that it is possible to cancel it out with a top quark partner with opposite spin-statistics and the same color charge as the top particle. We must note the difference with supersymmetric theories where the partner (superpartner), despite having opposite spin-statistics, necessarily has the same color charge. Finally, we construct a suitable UV completion in a 5-dimensional spacetime for the folded supersymmetric theory that explains the origin of the cancellations at higher energies
Mestre

Although the quasi-adiabatic calculations have led to an improved description of the measured observables, the theoretical justifications of the assumptions made in the model have not yet been studied. The first part of the work described in this thesis is therefore concerned with the clarification of these theoretical uncertainties by performing a rigorous investigation of the accuracy and the validity of the model. In addition, we reformulate the quasi-adiabatic theory to give a more general formalism, approaching the three-body problem in a different way. This alternative formulation provides a clear understanding of the assumptions made in the original quasi-adiabatic theory. Using the spirit of the new quasi-adiabatic formalism, we also develop alternative approximation schemes for the treatment of quantum mechanical three-body systems. The accuracy and the range of validity of the developments, together with the quasi-adiabatic theory, are investigated carefully and precisely by comparing their predictions with those essentially exact CDCC technique for the 66Zn (d,p)67Zn reaction at 88.2 MeV. It is found that the alternative models and quasi-adiabatic theory are reliable techniques for the treatment of deuteron breakup process at intermediate energies of interest. The remainder of this thesis is devoted to the investigation of the mechanism of (p,d*) reactions. As the treatment of the final state interactions in such reactions has not previously been studied consistently, we develop an adiabatic method and apply it to new data for the 13C(p,d)12C reaction with 35 MeV incident proton energy. Due to the weak coupling between spin channels of the continuum n-p system at the energies of interest, the singlet and triplet state pickup cross-sections for the final n-p system are analyzed separately. We find that the contribution from the singlet state is dominant for small relative energies while the triplet state dominates for large energies. This application clarifies the relationship between the three-body dynamics in the final state of (p,d) and (p,d*) reactions.

Halo nuclei are formed when the last protons or neutrons are weakly bound to a tightly bound core. This allows the halo nucleons to tunnel far away from the core, resulting in a large r.m.s radius and therefore a large reaction cross section. Usually, halo nuclei possess only one bound state, the ground state, with all excited states being more or less unbound. When a nuclear potential is too weak to form a bound ground or excited state, the state can nevertheless be manifest physically as a positive energy resonance. Experimentally, low energy resonance like structures have been observed in the three-body continuum of certain halo nuclei eg. 6He → alpha + n + n. However, from a strict theoretical point of view, a resonance corresponds to a pole in the scattering amplitude at a complex energy. Halo nuclei have been successfully modelled as three-body systems in the hyper-spherical harmonic calculation scheme. Here the R-matrix method is used in solving the coupled hyperradial equations. It is critical that the long-range nature of the couplings in this system are incorporated correctly when evaluating the S-matrix. This is achieved through the use of coupled asymptotic solutions to the radial equation. These procedures have enabled a number of resonance-like S-matrix poles to be located for the 2+, 0+ and 1- spin-parity states in the low energy continuum of 6He.

Thesis (Ph. D.)--Washington State University, May 2009.
Title from PDF title page (viewed on Feb. 12. day, 2010). "Department of Physics and Astronomy." Includes bibliographical references (p. 186-199).

Mean-field approaches successfully reproduce nuclear bulk properties like masses and radii within the Energy Density Functional (EDF) framework. However, complex correlations are missing in mean-field models and several observables related to single-particle and collective nuclear properties cannot be predicted accurately. The necessity to provide a precise description of the available data as well as reliable predictions in the exotic regions of the nuclear chart motivates the use of more sophisticated beyond-mean-field models. Correlations and higher-order corrections (beyond the leading mean-field order) are introduced. A crucial aspect in these calculations is the choice of the effective interaction to be used when one goes beyond the leading order (available effective interactions are commonly adjusted at the mean-field level). In the first part, we deal with the equation of state of nuclear matter evaluated up to the second order with the phenomenological Skyrme force. We analyze the ultraviolet divergence that is related to the zero range of the interaction and we introduce Skyrme-type regularized interactions that can be used at second order for matter. Cutoff regularization and dimen- sional regularization techniques are explored and applied. In the latter case, connections are naturally established between the EDF framework and some techniques employed in Effective Field Theories. In the second part, we check whether the regularized interactions introduced for nuclear matter can be employed also for finite nuclei. As an illustration, this analysis is performed within the particle- vibration model that represents an example of beyond mean-field models where an ultraviolet divergence appears if zero-range forces are used. These first applications suggest several directions to be explored to finally provide regularized interactions that are specially tailored for beyond- mean-field calculations for finite nuclei. Conclusions and perspectives are finally illustrated.

The Weapon-Target Assignment (WTA) problem is a fundamental problem arising in defense-related applications of operations research. Optimizing the WTA is about the selection of the most appropriate weapon for each target in the problem. Basically the aim is to have the maximum effect on targets. Different algorithms
branch and bound (B&
B), genetic algorithm (GA), variable neighborhood search (VNS), are used to solve this problem. In this thesis, a more complex version of this problem is defined and adapted to fire support automation (Command Control Communication Computer Intelligence, C4I) systems. For each target, a weapon with appropriate ammunition, fuel, timing, status, risk is moved to an appropriate ammunitions, economy of fuel, risk analysis and time scheduling are all integrated into the solution. B&
B, GA and VNS are used to solve static and dynamic WTA problem. Simulations have shown that GA and VNS are the best suited methods to solve the WTA problem.

Phenomenological effective interactions like Skyrme forces are currently used in mean-field calculations in nuclear physics. Mean-field models have strong analogies with the first order of the perturbative many-body problem and the currently used effective interactions are adjusted at the mean-field level. In this work, we analyze the renormalizability of the nuclear many-body problem in the case where the effective Skyrme interaction is employed in its standard form and the perturbative problem is solved up to second order. We focus on symmetric nuclear matter and its equation of state, which can be calculated analytically at this order. It is shown that only by applying specific density dependence and constraints to the interaction parameters can renormalizability be guaranteed in principle. This indicates that the standard Skyrme interaction does not in general lead to a renormalizable theory. To achieve renormalizability, other terms should be added to the interaction and employed perturbatively only at first order.

Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Nuclear Engineering; and, (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2000.
Vita.
by Guy M. Snodgrass.
S.M.

The thesis deals with aspects of Systems Re-engineering specialised to the case of passive electrical networks. Re-engineering is a problem different from traditional control problems and this emerges when it is realised that the systems designed in the past cannot perform according to the new performance requirements and such performance cannot be improved by traditional control activities. Re-engineering implies that we intervene in early stages of system design involving sub-processes, values of physical elements, interconnection topology, selection of systems of inputs and outputs and of course retuning of control structures. This is a very challenging problem which has not been addressed before in a systematic way and needs fundamental new thinking, based on understanding of structure evolution during the stages of integrated design. A major challenge in the study of this problem is to have a system representation that allows study of evolution of system properties as well as structural invariants. For linear systems the traditional system representations, such as transfer functions, state space models and polynomial type models do not provide a suitable framework for study structure and property evolutions, since for every change we need to compute again these models and the transformations we have used do not appear in an explicit form in such models. It is for this reason, for a general system, such system representations are not suitable for study of system representations on re-engineering. It has been recognized that for the special family of systems defined by the passive electrical networks (RLC), there exists a representation introduced by the loop/ nodal analysis, expressed by the impedance/admittance integral-differential models, which have the property of re-engineering transformations of the following type: 1. Changing the values or possible nature of existing elements without changing the network topology, 2. Modifying the network topology without changing network cardinality, that is number of independent loops or nodes, 3. Augmenting or reducing the network by addition or deletion of sub-networks, 4. Combination of all the above transformations. These kinds of transformations may be represented as perturbations on the original impedance/admittance models. The above indicates that impedance/admittance integral-differential models, which from now on will be referred to as Implicit Network Descriptions is the natural vehicle for studying re-engineering on electrical networks. Although issues related to realisation of impedance/admittance transfer functions within RLC topologies, has been the topic of classical network synthesis, the system aspects of such descriptions have not been properly considered. Addressing problems of network re-engineering requires the development of the fundamental system aspects of such new descriptions in terms of McMillan degree, regularity and a number of other properties. Certain problems of evolution (of system properties) are linked to Frequency Assignment, as far as natural frequencies under re-engineering and this requires use of techniques developed within control theory for Frequency Assignment Problems.

Advanced nuclear magnetic resonance (NMR) imaging methodologies have been developed to determine porous media properties associated with fluid flow processes. This dissertation presents the development of NMR experimental and analysis methodologies, called NMR probes, particularly for determination of porosity, permeability, and pore-size distributions of porous media while the developed methodologies can be used for other properties. The NMR relaxation distribution can provide various information about porous systems having NMR active nuclei. The determination of the distribution from NMR relaxation data is an ill-posed inverse problem that requires special care, but conventionally the problem has been solved by ad-hoc methods. We have developed a new method based on sound statistical theory that suitably implements smoothness and equality/inequality constraints. This method is used for determination of porosity distributions. A Carr-Purcell-Meiboom-Gill (CPMG) NMR experiment is designed to measure spatially resolved NMR relaxation data. The determined relaxation distribution provides the estimate of intrinsic magnetization which, in turn, is scaled to porosity. A pulsed-field-gradient stimulated-echo (PFGSTE) NMR velocity imaging experiment is designed to measure the superficial average velocity at each volume element. This experiment measures velocity number distributions as opposed to the average phase shift, which is conventionally measured, to suitably quantify the velocities within heterogeneous porous media. The permeability distributions are determined by solving the inverse problem formulated in terms of flow models and the velocity data. We present new experimental designs associated with flow conditions to enhance the accuracy of the estimates. Efforts have been put forth to further improve the accuracy by introducing and evaluating global optimization methods. The NMR relaxation distribution can be scaled to a pore-size distribution once the surface relaxivity is known. We have developed a new method, which avoids limitations on the range of time for which data may be used, to determine surface relaxivity by the PFGSTE NMR diffusion experiment.

Thesis (Ph. D.)--Ohio State University, 2003.
Title from first page of PDF file. Document formatted into pages; contains xiii, 182 p.; also includes graphics Includes bibliographical references (p. 181-182). Available online via OhioLINK's ETD Center

[ES] Uno de los objetivos más importantes en el análisis de la seguridad en el campo de la ingeniería nuclear es el cálculo, rápido y preciso, de la evolución de la potencia dentro del núcleo del reactor. La distribución de los neutrones se puede describir a través de la ecuación de transporte de Boltzmann. La solución de esta ecuación no puede obtenerse de manera sencilla para reactores realistas, y es por ello que se tienen que considerar aproximaciones numéricas. En primer lugar, esta tesis se centra en obtener la solución para varios problemas estáticos asociados con la ecuación de difusión neutrónica: los modos lambda, los modos gamma y los modos alpha. Para la discretización espacial se ha utilizado un método de elementos finitos de alto orden. Diversas características de cada problema espectral se analizan y se comparan en diferentes reactores. Después, se investigan varios métodos de cálculo para problemas de autovalores y estrategias para calcular los problemas algebraicos obtenidos a partir de la discretización espacial. La mayoría de los trabajos destinados a la resolución de la ecuación de difusión neutrónica están diseñados para la aproximación de dos grupos de energía, sin considerar dispersión de neutrones del grupo térmico al grupo rápido. La principal ventaja de la metodología que se propone es que no depende de la geometría del reactor, del tipo de problema de autovalores ni del número de grupos de energía del problema. Tras esto, se obtiene la solución de las ecuaciones estacionarias de armónicos esféricos. La implementación de estas ecuaciones tiene dos principales diferencias respecto a la ecuación de difusión neutrónica. Primero, la discretización espacial se realiza a nivel de pin. Por tanto, se estudian diferentes tipos de mallas. Segundo, el número de grupos de energía es, generalmente, mayor que dos. De este modo, se desarrollan estrategias a bloques para optimizar el cálculo de los problemas algebraicos asociados. Finalmente, se implementa un método modal actualizado para integrar la ecuación de difusión neutrónica dependiente del tiempo. Se presentan y comparan los métodos modales basados en desarrollos en función de los diferentes modos espaciales para varios tipos de transitorios. Además, también se desarrolla un control de paso de tiempo adaptativo, que evita la actualización de los modos de una manera fija y adapta el paso de tiempo en función de varias estimaciones del error.
[CAT] Un dels objectius més importants per a l'anàlisi de la seguretat en el camp de l'enginyeria nuclear és el càlcul, ràpid i precís, de l'evolució de la potència dins del nucli d'un reactor. La distribució dels neutrons pot modelar-se mitjançant l'equació del transport de Boltzmann. La solució d'aquesta equació per a un reactor realístic no pot obtenir's de manera senzilla. És per això que han de considerar-se aproximacions numèriques. En primer lloc, la tesi se centra en l'obtenció de la solució per a diversos problemes estàtics associats amb l'equació de difusió neutrònica: els modes lambda, els modes gamma i els modes alpha. Per a la discretització espacial s'ha utilitzat un mètode d'elements finits d'alt ordre. Algunes de les característiques dels problemes espectrals s'analitzaran i es compararan per a diferents reactors. Tanmateix, diversos solucionadors de problemes d'autovalors i estratègies es desenvolupen per a calcular els problemes obtinguts de la discretització espacial. La majoria dels treballs per a resoldre l'equació de difusió neutrònica estan dissenyats per a l'aproximació de dos grups d'energia i sense considerar dispersió de neutrons del grup tèrmic al grup ràpid. El principal avantatge de la metodologia exposada és que no depèn de la geometria del reactor, del tipus de problema d'autovalors ni del nombre de grups d'energia del problema. Seguidament, s'obté la solució de les equacions estacionàries d'harmònics esfèrics. La implementació d'aquestes equacions té dues principals diferències respecte a l'equació de difusió. Primer, la discretització espacial es realitza a nivell de pin a partir de l'estudi de diferents malles. Segon, el nombre de grups d'energia és, generalment, major que dos. D'aquesta forma, es desenvolupen estratègies a blocs per a optimitzar el càlcul dels problemes algebraics associats. Finalment, s'implementa un mètode modal amb actualitzacions dels modes per a integrar l'equació de difusió neutrònica dependent del temps. Es presenten i es comparen els mètodes modals basats en l'expansió dels diferents modes espacials per a diversos tipus de transitoris. A més a més, un control de pas de temps adaptatiu es desenvolupa, evitant l'actualització dels modes d'una manera fixa i adaptant el pas de temps en funció de vàries estimacions de l'error.
[EN] One of the most important targets in nuclear safety analyses is the fast and accurate computation of the power evolution inside of the reactor core. The distribution of neutrons can be described by the neutron transport Boltzmann equation. The solution of this equation for realistic nuclear reactors is not straightforward, and therefore, numerical approximations must be considered. First, the thesis is focused on the attainment of the solution for several steady-state problems associated with neutron diffusion problem: the $\lambda$-modes, the $\gamma$-modes and the $\alpha$-modes problems. A high order finite element method is used for the spatial discretization. Several characteristics of each type of spectral problem are compared and analyzed on different reactors. Thereafter, several eigenvalue solvers and strategies are investigated to compute efficiently the algebraic eigenvalue problems obtained from the discretization. Most works devoted to solve the neutron diffusion equation are made for the approximation of two energy groups and without considering up-scattering. The main property of the proposed methodologies is that they depend on neither the reactor geometry, the type of eigenvalue problem nor the number of energy groups. After that, the solution of the steady-state simplified spherical harmonics equations is obtained. The implementation of these equations has two main differences with respect to the neutron diffusion. First, the spatial discretization is made at level of pin. Thus, different meshes are studied. Second, the number of energy groups is commonly bigger than two. Therefore, block strategies are developed to optimize the computation of the algebraic eigenvalue problems associated. Finally, an updated modal method is implemented to integrate the time-dependent neutron diffusion equation. Modal methods based on the expansion of the different spatial modes are presented and compared in several types of transients. Moreover, an adaptive time-step control is developed that avoids setting the time-step with a fixed value and it is adapted according to several error estimations.
Carreño Sánchez, AM. (2020). Integration methods for the time dependent neutron diffusion equation and other approximations of the neutron transport equation [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/144771
TESIS

Les résultats de notre étude des capacités de modélisation théorique axées sur les approches phénoménologiques nucléaires dans le cadre de la théorie du champ-moyen sont présentés. On s’attend à ce qu’une théorie réaliste soit capable de prédire de manière satisfaisante les résultats des expériences à venir, c’est-à-dire avoir ce qu’on appelle un bon pouvoir prédictif. Pour étudier le pouvoir prédictif d’un modèle théorique, nous avons dû tenir compte non seulement des erreurs des données expérimentales, mais aussi des incertitudes issues des approximations du formalisme théorique et de l’existence de corrélations paramétriques. L’une des techniques centrales dans l’ajustement des paramètres est la solution de ce qu’on appelle le Problème Inverse. Les corrélations paramétriques induisent généralement un problème inverse mal-posé; elles doivent être étudiées et le modèle doit être régularisé. Nous avons testé deux types de hamiltoniens phénoménologiques réalistes montrant comment éliminer théoriquement et en pratique les corrélations paramétriques.Nous calculons les intervalles de confiance de niveau, les distributions d’incertitude des prédictions des modèles et nous avons montré comment améliorer les capacités de prédiction et la stabilité de la théorie
Results of our study of the theoretical modelling capacities focussing on the nuclear phenomenological mean-field approaches are presented. It is expected that a realistic theory should be capable of predicting satisfactorily the results of the experiments to come, i.e., having what is called a good predictive power. To study the predictive power of a theoretical model, we had to take into account not only the errors of the experimental data but also the uncertainties originating from approximations of the theoretical formalism and the existence of parametric correlations. One of the central techniques in the parameter adjustment is the solution of what is called the Inverse Problem. Parametric correlations usually induce ill-posedness of the inverse problem; they need to be studied and the model regularised. We have tested two types of realistic phenomenological Hamiltonians showing how to eliminate the parametric correlations theoretically and in practice. We calculate the level confidence intervals, the uncertainty distributions of model predictions and have shown how to improve theory’s prediction capacities and stability

The main goal in inverse and forward problems of electrocardiography (ECG) is to better understand the electrical activity of the heart. In the forward problem of ECG, one obtains the body surface potential (BSP) distribution (i.e., the measurements) when the electrical sources in the heart are assumed to be known. The result is a mathematical model that relates the sources to the measurements. In the inverse problem of ECG, the unknown cardiac electrical sources are estimated from the BSP measurements and the mathematical model of the torso. Inverse problem of ECG is an ill-posed problem, and regularization should be applied in order to obtain a good solution. Tikhonov regularization is a well-known method, which introduces a trade-off between how well the solution fits the measurements and how well the constraints on the solution are satisfied. This trade-off is controlled by a regularization parameter, which can be easily calculated by the L-curve method. It is theoretically possible to include more than one constraint in the cost function
however finding more than one regularization parameter to use with each constraint is a challenging problem. It is the aim of this thesis to use genetic algorithm (GA) optimization method to obtain regularization parameters to solve the inverse ECG problem when multiple constraints are used for regularization. The results are presented when there are two spatial constraints, when there is one spatial, one temporal constraint, and when there are two spatial one temporal constraints
the performances of these three applications are compared to Tikhonov regularization results and to each other. As a conlcusion, it is possible to obtain correct regularization parameters using the GA method, and using more than one constraints yields improvements in the results.

A recognized safety issue for future fusion reactors fueled with deuterium and tritium is the generation of sizeable quantities of dust. Several mechanisms [like plasma disruptions, Edge Localized Modes (ELM) and Vertical Displacement Events (VDE)] resulting from material response to plasma bombardment in normal and off-normal conditions are responsible for generating dust of micron and sub-micron length scales inside the VV (Vacuum Vessel) of experimental fusion reactors like the International Thermonuclear Experimental Reactor (ITER). The loss of coolant accidents (LOCA), loss of coolant flow accidents (LOFA) and loss of vacuum accidents (LOVA) are types of accidents expected in experimental fusion reactors like ITER, which may jeopardize the components and the plasma vessel integrity and cause dust mobilization risk for workers and public. A small facility, Small Tank for Aerosol Removal and DUST (STARDUST), was set up to perform experiments concerning the dust mobilization in a volume with the initial condition similar to those existing in ITER VV. The aim of this work was to reproduce a low pressurization rate (300 Pa/s) LOVA event in ITER due to a small air leakage, for two different positions of the leak, at the equatorial port level and at the divertor port level, in order to evaluate a first re-suspension numerical model by the analysis of the: 1. influence of obstacles and temperature on dust resuspension during both maintenance and operative conditions; 2. The velocity field inside STARDUST. For the first experimental purpose the dusts used were tungsten (W), stainless steel (SS) and carbon (C), similar to those produced inside the vacuum chamber in a fusion reactor when the plasma facing materials vaporizes due to the high energy deposition. The experimental campaign has been carried out by introducing inside STARDUST facility an obstacle to simulate the presence of objects, like divertor and the limiter-divertor gap inside ITER VV at different temperatures (25�C maintenance conditions, 110�C during operative conditions). For the second experimental purpose, local measurements of velocity have been acquired by means of a capacitive transducer. A two-dimensional (2D) modelling of STARDUST was made with the commercial CFD code FLUENT, in order to get a preliminary overview of the fluid dynamics behaviour during a LOVA event and to justify the experimental evidence. The results of these simulations were compared against the experimental data for the CFD code validation. For validation purposes, the CFD simulation data were extracted at the same locations as the experimental data were collected. In this work, the computer-simulation data and the comparison with data collected during the laboratory studies will be presented and discussed.

Thesis (Ph. D.)--Missouri University of Science and Technology, 2010.
Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed April 21, 2010) Includes bibliographical references (p. 82-87).

The prime topic of research presented in this report is the development and validation of methodologies for the solution of the forward problem in Magnetic field Tomography based on Magnetoencephalography. Throughout the report full aspects of the accurate solution are discussed, including the development of algorithms and methods for realistic brain model, development of realistic neuronal source, computational approaches, and validation techniques. Every delivered methodology is tested and analyzed in terms of mathematical and computational errors. Optimizations required for error minimization are performed and discussed. Presented techniques are successfully integrated together for different test problems. Results were compared to experimental data where possible for the most of calculated cases. Designed human brain model reconstruction algorithms and techniques, which are based on MRI (Magnetic Resonance Imaging) modality, are proved to be the most accurate among existing in terms of geometrical and material properties. Error estimations and algorithm structure delivers the resolution of the model to be the same as practical imaging resolution of the MRI equipment (for presented case was less than 1mm). Novel neuronal source modelling approach was also presented with partial experimental validation showing improved results in comparison to all existing methods. At the same time developed mathematical basis for practical realization of discussed approach allows computer simulations of any known neuronal formation. Also it is the most suitable method for Finite Element Method (FEM) which was proved to be the best computer solver for complex bio-electrical problems. The mathematical structure for Inverse problem solution which is based on integrated human brain modelling technique and neuronal source modelling approach is delivered and briefly discussed. In the concluding part of the report the practical application case of developed techniques is performed and discussed.

The solution of large and sparse eigenvalue problems arising from the discretization of the diffusion equation is considered. The multigroup

diffusion equation is discretized by means of the Nodal expansion Method (NEM) [9, 10]. A new formulation of the higher order NEM variants revealing the true nature of the problem, that is, a generalized eigenvalue problem, is proposed. These generalized eigenvalue problems are solved using the Jacobi-Davidson (JD) method

[26]. The most expensive part of the method consists of solving a linear system referred to as correction equation. It is solved using Krylov subspace methods in combination with aggregation-based Algebraic Multigrid (AMG) techniques. In that context, a particular

aggregation technique used in combination with classical smoothers, referred to as oblique geometric coarsening, has been derived. Its particularity is that it aggregates unknowns that

are not coupled, which has never been done to our

knowledge. A modular code, combining JD with an AMG preconditioner, has been developed. The code comes with many options, that have been tested. In particular, the instability of the Rayleigh-Ritz [33] acceleration procedure in the non-symmetric case has been underlined. Our code has also been compared to an industrial code extracted from ARTEMIS.
Doctorat en Sciences de l'ingénieur
info:eu-repo/semantics/nonPublished

We study elastic and inelastic (2 cluster) - (2 cluster) scattering amplitudes for N-body quantum systems. For potentials falling off like r⁻^-1-E we prove that below the lowest 3-cluster threshold these amplitudes exist, are continuous and that asymptotic completeness holds. Moreover, if potentials fall off exponentially we prove that these amplitudes can be meromorphically continued in the energy, with square root branch points at the 2 cluster thresholds.
Ph. D.

Les transformations de supersymétrie (ou de Darboux) sont appliquées à l'étude du problème inverse, c'est à dire à la construction d'un potentiel d'interaction à partir de données de collisions, en mécanique quantique. En effet, ces transformations permettent de construire de nouveaux potentiels à partir d'un potentiel donné. Leur formalisme est étudié en détail, ainsi que celui correspondant à l'itération de deux telles transformations (paires de transformations).

La présence d'états liés rend le problème inverse ambigu :plusieurs potentiels ayant des spectres liés différents peuvent avoir les mêmes propriétés pour la description des collisions; de tels potentiels sont dits équivalents en phase. Une décomposition originale du problème inverse est proposée pour gérer efficacement cette ambiguïté :dans un premier temps, un potentiel est construit à partir des données de collision (ce qui constitue le problème inverse proprement dit); dans un second temps, tous les potentiels équivalents en phase au potentiel ainsi obtenu sont construits. Avant ce travail, il était connu que ces deux aspects du problème inverse pouvaient être traités à l'aide de paires de transformations de supersymétrie.

En ce qui concerne la construction de potentiels équivalents, nous étendons les méthodes existantes à des catégories de potentiels très utilisées en physique nucléaire, à savoir les potentiels optiques (ou complexes), les potentiels en voies couplées et les potentiels dépendant linéairement de l'énergie. En utilisant une paire de transformations permettant d'enlever un état lié, nous comparons les propriétés physiques des potentiels nucléaires profonds (c'est à dire possédant des états liés interdits par le principe de Pauli) et peu profonds. Des calculs dans des modèles à trois corps du noyau à halo d'6He et de la collision 16O+17O à basse énergie n'ont pas révélé d'importantes différences entre ces familles de potentiels. D'autres types de transformations permettent d'ajouter des états liés à énergie et normalisation arbitraires. Cependant, dans le cas à plusieurs voies, leur utilisation est compliquée par la possibilité d'avoir des états liés dégénérés et non dégénérés. Une étude préliminaire à deux voies montre que ces deux types d'états peuvent être traités par supersymétrie.

En ce qui concerne le problème inverse proprement dit, nous montrons que l'utilisation de transformations simples (plutôt que de paires) permet une meilleure compréhension des méthodes existantes, tant pour l'inversion à moment cinétique orbital fixe que pour l'inversion à énergie fixe. De plus, l'utilisation de transformations simples mène dans certains cas à de nouvelles catégories de potentiels. Ainsi, nous construisons un nouveau potentiel d'interaction nucléon nucléon pour l'onde 1S; ce potentiel possède une singularité en r 2 à l'origine. La possibilité de construire des potentiels profonds par inversion est brièvement discutée. Pour les voies couplées, une étude bibliographique révèle certaines propriétés contradictoires des méthodes existantes, mais une analyse complète reste à faire.

Doctorat en sciences appliquées
info:eu-repo/semantics/nonPublished

Ce travail de thèse s'inscrit dans le cadre du développement de la méthode de mélange de configurations multiparticules-multitrous visant à décrire les propriétés de structure des noyaux atomiques. Basée sur un double principe variationnel, cette approche permet de déterminer simultanément les coefficients d'expansion de la fonction d'onde et les orbitales individuelles.Dans ce manuscrit, le formalisme complet méthode de mélange de configurations multiparticules-multitrous auto-cohérente est pour la première fois appliqué à la description de quelques noyaux des couches p et sd, avec l'interaction de Gogny D1S.Un première étude du 12C est effectuée afin de tester et comparer le double processus de convergence lorsque différents types de critères sont appliqués pour sélectionner les configurations à N-corps inclues dans la fonction d'onde du noyau. Une analyse détaillée de l'effet induit par l'optimisation des orbitales est conduite. En particulier, son impact sur la densité à un corps et sur la fragmentation de la fonction d'onde de l'état fondamental, est analysé.Une étude systématique de noyaux de la couche sd est ensuite conduite. Une analyse précise du contenu en corrélation de l'état fondamental est effectuée, et quelques quantités observables telles que les énergies de liaison et de séparation, ainsi que les rayons de charge, sont calculées et comparées à l'expérience. Les résultats obtenus sont satisfaisants. La spectroscopie de basse énergie est ensuite étudiée. Les énergies d'excitation théoriques sont en très bon accord avec les données expérimentales, et les caractéristiques dipolaires magnétiques sont également satisfaisantes. Les propriétés quadripolaires électriques, et en particulier les probabilités de transition B(E2), sont par contre largement sous-estimée par rapport aux valeurs expérimentales, et révèle un manque important de collectivité dans la fonction d'onde, dû à l'espace de valence restreint considéré. Si la renormalisation des orbitales induit une importante fragmentation de la fonction d'onde de l'état fondamental, seul un effet très faible est obtenu sur les probabilités de transition B(E2). Une tentative d'explication est donnée.Enfin, les informations de structure fournies par la méthode de mélange de configurations multiparticules-multitrous sont utilisées comme ingrédient de base pour des calculs de réactions telles que la diffusion inélastique de protons et d'électrons sur noyaux de la couche sd. Si les résultats révèlent aussi un manque de collectivité, les tendances expérimentales sont bien reproduites et sont améliorées par l'optimisation des orbitales
This thesis project takes part in the development of the multiparticle-multihole configuration mixing method aiming to describe the structure of atomic nuclei. Based on a double variational principle, this approach allows to determine the expansion coefficients of the wave function and the single-particle states at the same time. In this work we apply for the first time the fully self-consistent formalism of the mp-mh method to the description of a few p- and sd-shell nuclei, using the D1S Gogny interaction.A first study of the 12C nucleus is performed in order to test the doubly iterative convergence procedure when different types of truncation criteria are applied to select the many-body configurations included in the wave-function. A detailed analysis of the effect caused by the orbital optimization is conducted. In particular, its impact on the one-body density and on the fragmentation of the ground state wave function is analyzed.A systematic study of sd-shell nuclei is then performed. A careful analysis of the correlation content of the ground state is first conducted and observables quantities such as binding and separation energies, as well as charge radii are calculated and compared to experimental data. Satisfactory results are found. Spectroscopic properties are also studied. Excitation energies of low-lying states are found in very good agreement with experiment, and the study of magnetic dipole features are also satisfactory. Calculation of electric quadrupole properties, and in particular transition probabilities B(E2), however reveal a clear lack of collectivity of the wave function, due to the reduced valence space used to select the many-body configurations. Although the renormalization of orbitals leads to an important fragmentation of the ground state wave function, only little effect is observed on B(E2) probabilities. A tentative explanation is given.Finally, the structure description of nuclei provided by the multiparticle-multihole configuration mixing method is utilized to study reaction mechanisms such as electron and proton inelastic scattering on sd-shell nuclei. Although the results also suffer from the lack of collectivity, the experimental trends are well reproduced and improved by the orbital optimization

The growing extent and variety of present military operations forces to use the resources in hand at its best. Especially, the optimum usage and assignment of limited number of the air force resources to missions will provide a considerable advantage in the battle field. The problem of finding the feasible and optimum assignment has been known to be studied
yet performing the process faster is still a topic that captures researchers&rsquo
attention because of the computational complexity that the assignment problem involves within. In this thesis, exploring the optimal assignment of fleets/aircrafts to targets/groups of targets is going to be performed via algorithms and heuristics. As the best choice for finding the exact solution, Branch-and-Bound algorithm, which is an intelligent way of searching for the solution on a solution tree where the nodes with potential of not leading to the solution are fathomed, has been investigated and applied according to the specific problem needs. The number of nodes on the search tree increases exponentially as the problem size increases. Moreover
as the size of the assignment problem increases, attaining the solution solely by Branch-and-Bound algorithm is definitely computationally expensive due to memory and time requirements. Therefore, Genetic algorithm which can provide good solutions in a relatively short time without having computational difficulties is considered as the second algorithm. Branch-and-Bound algorithm and Genetic algorithm are separately used for obtaining the solution. Hybrid algorithms which are combinations of Branch-and-Bound and Genetic algorithms are used with heuristics for improving the results.

[EN] The neutron diffusion equation is an approximation of the neutron transport equation that describes the neutron population in a nuclear reactor core. In particular, we will consider here VVER-type reactors which use the neutron diffusion equation discretized on hexagonal meshes. Most of the simulation codes of a nuclear power reactor use the multigroup neutron diffusion equation to describe the neutron distribution inside the reactor core.To study the stationary state of a reactor, the reactor criticality is forced in artificial way leading to a generalized differential eigenvalue problem, known as the Lambda modes equation, which is solved to obtain the dominant eigenvalues of the reactor and their corresponding eigenfunctions. To discretize this model a finite element method with h-p adaptivity is used. This method allows to use heterogeneous meshes, and allows different refinements such as the use of h-adaptive meshes, reducing the size of specific cells, and p-refinement, increasing the polynomial degree of the basic functions used in the expansions of the solution in the different cells. Once the solution for the steady state neutron distribution is obtained, it is used as initial condition for the time integration of the neutron diffusion equation. To simulate the behaviour of a nuclear power reactor it is necessary to be able to integrate the time-dependent neutron diffusion equation inside the reactor core. The spatial discretization of this equation is done using a finite element method that permits h-p refinements for different geometries. Transients involving the movement of the control rod banks have the problem known as the rod-cusping effect. Previous studies have usually approached the problem using a fixed mesh scheme defining averaged material properties and many techniques exist for the treatment of the rod cusping problem. The present work proposes the use of a moving mesh scheme that uses spatial meshes that change with the movement of the control rods avoiding the necessity of using equivalent material cross sections for the partially inserted cells. The performance of the moving mesh scheme is tested studying different benchmark problems. For reactor calculations, the accuracy of a diffusion theory solution is limited for for complex fuel assemblies or fine mesh calculations. To improve these results a method that incorporates higher-order approximations for the angular dependence, as the simplified spherical harmonics (SPN ) method must be employed. In this work an h-p Finite Element Method (FEM) is used to obtain the dominant Lambda mode associated with a configuration of a reactor core using the SPN approximation. The performance of the SPN (N= 1, 3, 5) approximations has been tested for different reactor benchmarks.
[ES] La ecuación de la difusión neutrónica es una aproximación de la ecuación del transporte de neutrones que describe la población de neutrones en el núcleo de un reactor nuclear. En particular, consideraremos reactores de tipo VVER y para simular su comportamiento se utilizará la ecuación de la difusión neutrónica para cuya discretización se hace uso de mallas hexagonales. La mayoría de los códigos de simulación de reactores nucleares utilizan aproximación multigrupo de energía de la ecuación de la difusión neutrónica para describir la distribución de neutrones en el interior del núcleo del reactor. Para estudiar el estado estacionario del reactor, es posible forzar la criticidad del reactor de forma artificial modificando las secciones eficaces de forma que se obtiene un problema de valores propios diferencial, conocido como el problema de los Modos Lambda, que se resuelve para obtener los valores propios dominantes del reactor y sus correspondientes funciones propias. Para discretizar este modelo se ha hecho uso de un método de elementos finitos con adaptabilidad h-p. Este método permite el uso de mallas heterogéneas, y de diferentes refinamientos como el uso mallas h-adaptativas, reduciendo el tamaño de los distintos nodos, y el p-refinado, aumentando el grado del polinomio de las funciones básicas utilizado en los desarrollos de la solución en los diferentes nodos. Se ha desarrollado un código basado en un método de elementos finitos de alto orden para resolver el problema de los Modos Lambda en un reactor con geometría hexagonal y se han obtenido los Modos dominantes para distintos problemas de referencia. Una vez que se ha obtenido la solución para la distribución de neutrones en estado estacionario, ésta se utiliza como condición inicial para la integración de la ecuación de difusión neutrónica dependiente del tiempo. Para simular el comportamiento de un reactor nuclear para un determinado transitorio, es necesario ser capaz de integrar la ecuación de la difusión neutrónica dependiente del tiempo en el interior del núcleo del reactor. La discretización espacial de esta ecuación se hace usando un método de elementos finitos de alto orden que permite refinados de tipo h-p para distintas geometrías. Los transitorios que implican el movimiento de los bancos de las barras de control tienen el problema conocido como el efecto 'rod-cusping'. Estudios anteriores, por lo general, han abordado este problema utilizando una malla fija y definiendo propiedades promedio para los materiales correspondientes a las celdas donde se tiene la barra de control parcialmente insertada. En el presente trabajo se propone el uso de un esquema de malla móvil, de forma que en mallado espacial va cambiando con el movimiento de la barra de control, evitando la necesidad de utilizar secciones eficaces equivalentes para las celdas parcialmente insertadas. El funcionamiento de este esquema de malla móvil propuesto se estudia resolviendo distintos problemas tipo. La precisión obtenida mediante de la teoría de la difusión en los cálculos de reactores es limitada cuando se tienen elementos de combustible complejos o se pretenden realizar cálculos en malla fina. Para mejorar estos resultados, es necesario disponer de un método que incorpore aproximaciones de orden superior de la ecuación del transporte de neutrones. Una posibilidad es hacer uso de las ecuaciones PN simplificadas (SPN ). En este trabajo se utiliza un método de elementos finitos h-p para obtener los modos dominantes asociados con una configuración dada del núcleo de un reactor nuclear con geometría hexagonal usando la aproximación SPN . El funcionamiento de las aproximaciones SPN (N = 1, 3, 5) se ha estudiado para distintos problemas de referencia.
[CAT] L'equació de la difusió neutrònica és una aproximació de l'equació del transport de neutrons que descriu la població de neutrons en el nucli de un reactor nuclear. En particular, considerarem reactors de tipus VVER i per a simular el seu comportament s'utilitzarà l'equació de la difusió neutrónica que es discretitza fent ús de malles hexagonals. La majoria dels codis de simulació de reactors nuclears utilitzen l'aproximació multigrup d'energia de l'equació de la difusió neutrónica per a descriure la distribució de neutrons a l'interior del nucli del reactor. Per a estudiar l'estat estacionari del reactor, és possible forçar la seua criticitat de forma artificial modificant les seccions eficaces de manera que s'obté un problema de valors propis diferencial, conegut com el problema dels Modes Lambda, que es resol per a obtenir els valors propis dominants del reactor i les seues corresponents funcions pròpies. Per a discretitzar aquest model s'ha fet ús d'un mètode d'elements finits amb adaptabilitat h-p. Aquest mètode permet l'ús de malles heterogènies, i de diferents refinaments com l'ús malles h-adaptatives, reduint la grandària dels diferents nodes, i el p-refinat, augmentant el grau del polinomi de les funcions bàsiques utilitzat en els desenvolupaments de la solució en els diferents nodes. S'ha desenvolupat un codi basat en un mètode d'elements finits d'alt ordre per a resoldre el problema dels Modes Lambda en un reactor amb geometria hexagonal i s'han obtingut els Modes dominants per a diferents problemes de referència. Una vegada que s'ha obtingut la solució per a la distribució de neutrons en estat estacionari, aquesta s'utilitza com a condició inicial per a la integració de l'equació de difusió neutrònica depenent del temps. Per a simular el comportament d'un reactor nuclear per a un determinat transitori, és necessari ser capaç d'integrar l'equació de la difusió neutrónica depenent del temps a l'interior del nucli del reactor. La discretitzación espacial d'aquesta equació es fa usant un mètode d'elements finits d'alt ordre que permet refinats de tipus h-p per a diferents geometries. Els transitoris que impliquen el moviment dels bancs de les barres de control tenen el problema conegut com l'efecte 'rod-cusping'. Estudis anteriors, en general, han abordat aquest problema utilitzant una malla fixa i definint propietats equivalents per als materials corresponents a les cel·les on es té la barra de control parcialment inserida. En el present treball es proposa l'ús d'un esquema de malla mòbil, de manera que en mallat espacial va canviant amb el moviment de la barra de control, evitant la necessitat d'utilitzar seccions eficaces equivalents per a les cel·les parcialment inserides. El funcionament de aquest esquema de malla mòbil s'estudia resolent diferents problemes tipus. La precisió obtinguda mitjançant de la teoria de la difusió en els càlculs de reactors és limitada quan es tenen elements de combustible complexos o es pretenen realitzar càlculs en malla fina. Per a millorar aquests resultats, és necessari disposar d'un mètode que incorpore aproximacions d'ordre superior de l'equació del transport de neutrons. Una possibilitat és fer ús de les equacions PN simplificades (SPN ). En aquest treball s'utilitza un mètode d'elements finits h- p per a obtenir els modes dominants associats amb una configuració donada del nucli de un reactor amb geometria hexagonal usant l'aproximació SPN . El funcionament de les aproximacions SPN (N = 1, 3, 5) s'ha estudiat per a diferents problemes de referència.
Fayez Moustafa Moawad, R. (2016). Approximation of The Neutron Diffusion Equation on Hexagonal Geometries Using a h-p finite element method [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/65353
TESIS

In this thesis, a new approach is developed, avoiding the correspondence problem caused by the difference in embodiment between imitator and demonstrator in imitation learning. In our work, the imitator is a fluidic system of dynamics totally different than the imitatee, which is a human performing hand gestures and human body postures. The fluidic system is composed of fluid particles, which are used for the discretization of the problem domain. In this work, we demonstrate the fluidics formation control so as to imitate by observation initially given human body poses and hand gestures. Our fluidic formation control is based on setting suitable parameters of Smoothed Particle Hydrodynamics (SPH), which is a particle based Lagrangian method, according to imitation learning. In the controller part, we developed three approaches: In the first one, we used Artificial Neural Networks (ANN) for training of the input-output pairs on the fluidic imitation system. We extracted shape based feature vectors for human hand gestures as inputs of the system and for output we took the fluid dynamics parameters. In the second approach, we employed the Principal Component Analysis (PCA) method for human hand gesture and human body pose classification and imitation. Lastly, we developed a region based controller which assigns the fluid parameters according to the human body poses and hand gestures. In this controller, our algorithm determines the best fitting ellipses on human body regions and human hand finger positions and maps ellipse parameters to the fluid parameters. The fluid parameters adjusted by the fluidics imitation controller are body force (f), density, stiffness coefficient and velocity of particles (V) so as to lead formations of fluidic swarms to human body poses and hand gestures.

Neste trabalho estudamos a extensão da aproximação de campo médio, dada uma condição inicial, para a evolução temporal de um sistema composto de férmions e bósons que interagem. Para isto usamos uma técnica de projeção dependente do tempo através do qual obtemos equações de movimento do tipo cinético para o conjunto de variáveis dinâmicas de um corpo. Na primeira parte do trabalho aplicamos a técnica para um sistema descrito pelo modelo de Jaynes Cummings, o qual descreve a interação da matéria, representada por um sistema de dois níveis, com a radiação, representada por um modo normal do campo quantizado. Obtemos a dinâmica de campo médio e a seguir usando a técnica de projeçào, calculamos correções à esta descrição de campo médio. Além de ser um modelo exatamente solúvel, o que nos permite comparar nossos resultados com a solução exata, o modelo de Jaynes-Cummings corresponde ao plasma escalar relativístico em zero dimensões espaciais. Na segunda parte deste trabalho estudamos o modelo do plasma escalar relativístico. Esta teoria quântica de campos descreve a interação de campos bosônicos escalares e fermiônicos de spin-1/2 através de uma interação do tipo Yukawa. Para o sistema do plasma escalar relativístico obtemos as equações que descrevem a dinâmica de campo médio e a partir das soluções estacionárias, renormalizamos a teoria. Finalmente, estudamos o regime de pequenas oscilações em torno do equilíbrio, obtendo soluções analíticas para a evolução de nossas variáveis. Analisamos também as condições para existência de estados ligados neste regime.
In this work we study the extension of the mean-field approximation, given an initial condition, to the time evolution of a fermion-boson system. We use a time-dependent projection where we obtain kinetic-type equations for the set of one-body variables. First, we study the Jaynes-Cummings model which describes the interaction of the matter represented by the two-level system with the radiation represented by the normal mode of the quantized radiation field. We obtain the mean-field dynamics of the system and using the projection technique, we evaluate corrections to this mean-field description. Relevance of the Jaynes-Cummings model stems from the fact that, besides being soluble which possibilities compare our results with the exact solution, it can be seen as corresponding to the relativistic scalar plasma in zero spatial dimensions. Next, we study the relativistic scalar plasma. This quantum field theory describes a system of spin-1/2 fermions interacting through the exchange of scalar particles via a Yukawa-type interaction. In the study of the relativistic scalar plasma, we obtain the mean-field dynamics and from the static solution, we renormalize the theory. Finally, we study the small oscillations regime obtaining analytical solution for one-body variables. We have also examined the condition for the existence of bound-state in this case.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Neste trabalho investigamos a universalidade em sistemas de três e quatro bósons através do cálculo das suas energias de ligação e dos raios quadráticos médios. Utilizando duas funções de escala calculadas com um potencial de alcance zero e um potencial de alcance finito corrigimos em primeira ordem em r0/a (r0 e a são, respectivamente, o alcance efetivo do potencial e o comprimento de espalhamento de dois corpos) o ponto onde os estados excitados de três corpos desaparecem. Estudamos também as estruturas dos estados de quatro corpos associados ao estado fundamental de três corpos para energia de dois corpos igual a zero. Esses estados são formados predominantemente por uma configuração do tipo 3+1. Os cálculos foram realizados no espaço das configurações usando um método variacional
In this work we investigated the universality in three- and four-boson systems calculating their energies and root-mean-square radii. Using two scaling functions calculated with a zero and a finite range potentials, we corrected to first order in r0/a (r0 and a are, respectively, the effective range of the potential and the two-body scattering length) the point where the three-body excited states disappear. We also studied the structures of the four-body statestied to the three-body ground state for a two-body energy equal zero. These states are predominantly composed by a 3+1 configuration. The calculations were performed in the configuration space using a variational method

La ecuación de la difusión neutrónica describe la población de neutrones de un reactor nuclear. Este trabajo trata con este modelo para reactores nucleares con geometría hexagonal. En primer lugar se estudia la ecuación de la difusión neutrónica. Este es un problema diferencial de valores propios, llamado problema de los modos Lambda. Para resolver el problema de los modos Lambda se han comparado diferentes métodos en geometrías unidimensionales, resultando como el mejor el método de elementos espectrales. Usando este método discretizamos los operadores en geometrías bidimensiones y tridimensionales, resolviendo el problema algebraica de valores propios resultante con el método de Arnoldi. La distribución de neutrones estado estacionario se utiliza como condición inicial para la integración de la ecuación de la difusión neutrónica dependiente del tiempo. Se utiliza un método de Euler implícito para integrar en el tiempo. Cuando un nodo está parcialmente insertado aparece un comportamiento no físico de la solución, el efecto ``rod cusping'', que se corrige mediante la ponderación de las secciones eficaces con el flujo del paso de tiempo anterior. Cuando la solución de los sistemas algebraicos que surgen en el método hacia atrás, un método de Krylov se utiliza para resolver los sistemas resultantes, y diferentes estrategias de precondicionamiento se evalúan se. La primera consiste en el uso de la estructura de bloque obtenido por los grupos de energía para resolver el sistema por bloques, y diferentes técnicas de aceleración para el esquema iterativo de bloques y un precondicionador utilizando esta estructura de bloque se proponen. Además se estudia un precondicionador espectral, que hace uso de la información en un subespacio de Krylov para precondicionar el siguiente sistema. También se proponen métodos exponenciales de segundo y cuarto orden integrar la ecuación de difusión neutrónica dependiente del tiempo, donde la exponencial de la matriz del sistema tiene qu
González Pintor, S. (2012). Approximation of the Neutron Diffusion Equation on Hexagonal Geometries [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/17829
Palancia

Den globala medellivslängden i världen ökar samtidigt som en åldrande befolkning leder till att behovet av vård och omsorg blir mer omfattande. Människor lever allt längre men är även sjuka en längre tid vilket ställer krav på kapaciteten inom vården. Kommunikationen utgör i dagsläget ett problem som försvårar sjukvårdens möjligheter att hantera den rådande vårdsituationen, vil-ket indikerar att sektorn är i behov av förändring. En möjlig lösning på detta problem är att utnyttja digitaliseringens möjligheter genom e-hälsa för att åstadkomma utveckling av välfär-den där vården håller en hög kvalitet och patienten står i fokus. Mobiltelefoner har visat sig vara ett lämpligt verktyg för detta ändamål då de idag utgör ett viktigt kommunikationsverktyg i samhället. Nuklearmedicinen syftar till den diagnostik och behandling som sker med hjälp av radioaktiva preparat och används exempelvis för behandling av sköldkörtelsjukdom. Behandlingen med dessa preparat medför restriktioner vilka skall beaktas av patienten och är information som skall förmedlas av sjukvården. En mobilapplikation har utvecklats på uppdrag av avdelningen för Nuklearmedicin vid Karolinska universitetssjukhuset med målet att på ett lättillgängligt sätt förmedla information till patienter och anhöriga. Med applikationen kan en kompletterande informationskanal skapas mellan patienten och av-delningens personal för att stödja kommunikationen. Vikten av korrekt och tydlig information i ett nära samarbete med kunnig vårdpersonal har diskuterats, vilket utgjort grunden för appli-kationens utformning. I syfte att utreda behovet och potentialen av ICT i sjukvården har en förstudie i form av en intervju genomförts. Tillsammans med en enkätundersökning, för att evaluera prototypen, utgör dessa grunden för den diskussion som förts kring applikationens möjligheter att bidra till kommunikationen inom denna del av sjukvården. Resultatet visar att potentialen för ICT inom vården är stor men att det finns brister som gör att systemen inte håller den kvalitet som förväntas och krävs av vårdsituationen. Genom införandet av prototypen kan patienter i tidigt skede ta del av information kring behandlingen och således förberedas efter egna villkor vilket är ett steg mot framtidens sjukvård.
The global life expectancy increases with an aging population, which leads to more demanding requirements on healthcare. Humans live longer but at the same time spend longer time of their lives being sick, which requires higher capacities within the healthcare system. Communication forms a problem by complicating the possibilities of healthcare to handle the situation, which indicates a need of change. A possible solution is to utilize the possibilities of digitalisation, with the help of e-health, to achieve development of the welfare where healthcare maintains high quality and patients are in focus. Mobile phones have shown to be a suitable tool for this cause due to the fact that they form a central tool for communication in today’s society. Nuclear medicine is the diagnostics and treatment with the help of radioactive substances and is part of today’s treatment of thyroid diseases. Using these preparations results in a number of restrictions, which has to be taken into consideration by the patient and should be given by the responsible physician. On behalf of the department for nuclear medicine at Karolinska univer-sity hospital a mobile application has been developed where patients and relatives, in a conven-ient way, can take part of information about their treatment. With the application, a complementary information channel can be created between patients and the department staff in order to support the communication. The importance of correct and transparent information in close cooperation with healthcare professionals has been discussed, which forms the base of the applications design. For the purpose of investigating the potential of ICT in healthcare, a pre-study in form of an interview was conducted. Together with a survey in order to evaluate the concept, these two form the basis of the discussion on the possibilities to contribute to the communication in the studied section of healthcare. The result shows that there is a lot of potential for ICT within healthcare, but the systems that are in use today lacks in quality, which is demanded and expected by the care situation. By introducing the concept, patients can take part of information about their treatment in an early stage, which allows them to prepare on their own terms, and is a step towards the healthcare of the future.

The principles and practice of instrumental neutron activation analysis (INAA) which serves as the basis of this work is described. The various irradiation and counting conditions used are also described. As sampling and sample preparation has a large effect on the accuracy of analytical techniques for trace element work, some of the problems faced by the analyst during these processes are identified and ways of minimising these problems are described. A method of obtaining the representative mass for various elements in standard material, Bowen's Kale is described and values for a number of elements in this material have been determined. The application of INAA in the determination of the concentrations of a range of elements in hair and blood samples, whole blood, erythrocytes and plasma obtained from two groups of women, senile demented and depressives and their respective controls is described. The results suggest that the senile dements have significantly higher concentrations of Na, Al, Cl, I and Hg in blood and hair relative to that of the controls whereas, V, Fe, Zn, Cu, Se and Rb were found at higher concentrations in the controls. In the depressives, Na, Al, S, Cl, K, V, Mn, Br, Sc, Ag, I and Hg were found to be significantly elevated in their blood and hair relative to that of controls while Mg, Ca, Zn, Cu, Se, Sb and Au were found at higher concentrations in the controls. The statistical methods used in the interpretation of these results are also described. The effect of Se supplementation on the concentration of Se in whole blood and blood components, collected from three groups of healthy adults given as a supplement to their usual diet, is described. The results indicate that the level of selenium in whole blood and its components increases with dose and time and the concentration of the element is maintained for at least 45 days following cessation of supplementation. The influence of the supplement on some electrolytes was also investigated. The usefulness of the K[0] factor in multielemental analysis is demonstrated by application to a standard material. The method employed for the determination of the parameters needed for accurate determination of the K[0] factor is described.

Orientador: Marcelo Takeshi Yamashita
Banca: Tobias Frederico
Banca: Renato Higa
Resumo: Neste trabalho investigamos a universalidade em sistemas de três e quatro bósons através do cálculo das suas energias de ligação e dos raios quadráticos médios. Utilizando duas funções de escala calculadas com um potencial de alcance zero e um potencial de alcance finito corrigimos em primeira ordem em r0/a (r0 e a são, respectivamente, o alcance efetivo do potencial e o comprimento de espalhamento de dois corpos) o ponto onde os estados excitados de três corpos desaparecem. Estudamos também as estruturas dos estados de quatro corpos associados ao estado fundamental de três corpos para energia de dois corpos igual a zero. Esses estados são formados predominantemente por uma configuração do tipo 3+1. Os cálculos foram realizados no espaço das configurações usando um método variacional
Abstract: In this work we investigated the universality in three- and four-boson systems calculating their energies and root-mean-square radii. Using two scaling functions calculated with a zero and a finite range potentials, we corrected to first order in r0/a (r0 and a are, respectively, the effective range of the potential and the two-body scattering length) the point where the three-body excited states disappear. We also studied the structures of the four-body statestied to the three-body ground state for a two-body energy equal zero. These states are predominantly composed by a 3+1 configuration. The calculations were performed in the configuration space using a variational method
Mestre

En este artículo, se presenta la aplicación de la metodología ABP en un curso de octavo ciclo de la especialidad de Química. Para ello, se formaron grupos de trabajo y se entregó a cada alumno un problema integral del tema, el cual corresponde a la nota del cuarto examen del curso.El trabajo de cada clase, en el que los alumnos desarrollaban actividades que fijaban los conocimientos necesarios para el desarrollo del problema integral, mostró una mejor predisposición de los alumnos al tema y un ambiente de trabajo más agradable.

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Elaboramos uma revisão de como o problema da hierarquia aparece na teoria Eletrofraca, pois entendemos que esse assunto ganhou importância e merece atenção especial. Apesar disso, notamos que muitos conceitos necessários para compreender a origem do problema encontram-se espalhados em diferentes livros e artigos, dificultando o acesso à informação. Por isso, apresentamos neste trabalho esses principais conceitos de maneira consolidada.
We develop a review on how the hierarchy problem appears in the Electroweak theory. Nowadays we think that this problem is greater in importance than it was in the past, so it deserves special attention, but we noticed several concepts needed to understand the problem are scattered in different books and papers, which hinders full access to information. Therefore, we intend to present the key subjects in a single document, because we didn't find similar work in previous studies.
2015/19572-0