Дисертації з теми "Long-range interacting systems"
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Morand, Jules. "Dynamics of long range interacting systems beyond the Vlasov limit." Doctoral thesis, Paris 6, 2014. http://hdl.handle.net/10362/50537.
Повний текст джерелаLaboratoire de Physique Nucléaire et Hautes Énergies dans le cadre de l’École Doctorale ED 389
Tese arquivada ao abrigo da Portaria nº 227/2017 de 25 de julho.
Long range interactions concern numerous natural systems. A notable example is the one of the gravitation which is relevant in the case of the study of a stars system or galaxy clusters. In particular, these systems does not respect the additivity of thermodynamical potential and present a dynamics dominated by collective effects. One of the most remarkable feature is that, after a very rapid evolution, these systems remains trapped into quasi-stationary states up to a very long time (diverging with the system size). It is only on longer time scales, that simulations have shown that the system relaxes to thermal equilibrium. Quasi-stationary states are theoretically interpreted as solutions of the Vlasov equation. This mean filed equation represents a very good approximation of the dynamics of long range systems in the limit of a large number of particles. Firstly we give a limit on the validity of the Vlasov equation depending of the range of the pair force and on its short scales regularisation. In a second part, using theoretical an numerical approach, we study the modification of the dynamics of long range systems when subjected to different kinds of non-Hamiltonian perturbations. In particular, the robustness of quasi-stationary states, in presence of this different perturbations is analysed in details.
Les interactions à longue portée concernent de nombreux systèmes naturels. Un exemple notable est celui de la gravitation newtonienne qui est pertinent dans le cas de l’étude de systèmes d’étoiles ou d’amas de galaxies. Ces systèmes ont notamment la particularité de ne pas respecter l’additivité des potentiels thermodynamiques et présentent une dynamique dominée par les effets collectifs. Une caractéristique remarquable est qu’après une évolution très rapide, ces systèmes restent piégés dans des états quasi-stationnaires pendant un temps qui peut être extrêmement grand (divergeant avec la taille du système). C’est seulement sur des échelles de temps plus longues que les simulations montrent que ces systèmes relaxent à l’équilibre thermodynamique. Les états quasi-stationnaire sont interprétés théoriquement comme les solutions stationnaires de l’équation de Vlasov. Cette équation de champs moyen représente une très bonne approximation de la dynamique macroscopique des systèmes en interaction à longue portée dans la limite où le nombre de particules tend vers l’infini. Dans un premier temps, nous nous attachons à comprendre, en fonction de la portée de la force de paire et de sa régularisation à court distance, quel est le champs de validité de cette équation, et en particulier, dans quelle cas le phénomène d’état quasi-stationnaire est attendu. Dans une seconde partie, combinant les approches théoriques et numériques, nous étudions la modification de la dynamique des systèmes à longue portée soumis à différentes sortes de perturbations non-Hamiltoniennes. La robustesse des états quasi-stationnaires en présence des différentes perturbations est analysée en détails.
Morand, Jules. "Dynamics of long range interacting systems beyond the Vlasov limit." Thesis, Paris 6, 2014. http://www.theses.fr/2014PA066624/document.
Повний текст джерелаLong range interactions concern numerous natural systems. A notable example is the one of the gravitation which is relevant in the case of the study of a stars system or galaxy clusters. In particular, these systems does not respect the additivity of thermodynamical potential and present a dynamics dominated by collective effects. One of the most remarkable feature is that, after a very rapid evolution, these systems remains trapped into quasi-stationary states up to a very long time (diverging with the system size). It is only on longer time scales, that simulations have shown that the system relaxes to thermal equilibrium.Quasi-stationary states are theoretically interpreted as solutions of the Vlasov equation. This mean filed equation represents a very good approximation of the dynamics of long range systems in the limit of a large number of particles. Firstly we give a limit on the validity of the Vlasov equation depending of the range of the pair force and on its short scales regularisation. In a second part, using theoretical an numerical approach, we study the modification of the dynamics of long range systems when subjected to different kinds of non-Hamiltonian perturbations. In particular, the robustness of quasi-stationary states, in presence of this different perturbations is analysed in details
Latella, Ivan. "Statistical thermodynamics of long-range interacting systems and near-field thermal radiation." Doctoral thesis, Universitat de Barcelona, 2016. http://hdl.handle.net/10803/400405.
Повний текст джерелаEn esta tesis se estudia la termodinámica y mecánica estadística de sistemas clásicos con interacciones de largo alcance y de la radiación térmica de campo cercano. En la primera parte, introducimos un formalismo termodinámico apropiado para sistemas con interacciones de largo alcance, en el cual se tiene en cuenta la no aditividad intrínseca en estos sistemas. Para estos sistemas, mostramos que la temperatura, presión y potencial químico pueden ser variables independientes. A su vez, dependiendo del sistema, lo anterior da lugar a poder tomar estas variables como parámetros de control para definir las configuraciones de equilibrio. Para estudiar este hecho, hemos introducido un modelo que cumple estas condiciones. En la segunda parte de la tesis, hemos desarrollado un esquema termodinámico para describir procesos de conversión de energía en trabajo útil en sistemas con interacción térmica radiativa en el campo cercano. Se ha mostrado explícitamente que de la radiación térmica de campo cercano puede extraerse un trabajo útil mayor que el obtenido de la radiación térmica de cuerpo negro. Hemos mostrado, además, que la potencia obtenida en sistemas con tres cuerpos en interacción puede ser considerablemente superior que en el caso de dos cuerpos.
Nardini, Cesare. "Energy landscapes, equilibrium and out of equilibrium physics of long and short range interacting systems." Phd thesis, Ecole normale supérieure de lyon - ENS LYON, 2013. http://tel.archives-ouvertes.fr/tel-00820555.
Повний текст джерелаStaniscia, Fabio. "Out-of-equilibrium behavior of many-body Hamiltonian systems with different interaction ranges." Doctoral thesis, Università degli studi di Trieste, 2011. http://hdl.handle.net/10077/4972.
Повний текст джерелаIn this Thesis we describe the theoretical-computational study performed on the behavior of isolated systems, far from thermodynamic equilibrium. Analyzing models well-known in literature we follow a path bringing to the classification of different behaviors in function of the interaction range of the systems' particles. In the case of systems with long-range interaction we studied the "Quasi-Stationary states" (QSSs) which emerge at short times when the system evolves with Hamiltonian dynamics. Their interest is in the fact that in many physical systems, such as self-gravitating systems, plasmas and systems characterized by wave-particle interaction, QSSs are the only experimentally accessible regime. QSS are defined as stable solutions of the Vlasov equation and, as their duration diverges with the system size, for large systems' size they can be seen as the true equilibria. They do not follow the Boltzmann statistics, and it does not exists a general theory which describes them. Anyway it is possible to give an approximate description using Lynden-Bell theory. One part of the thesis is devoted to shed light on the characteristics of the phase diagram of the "Hamiltonian mean field" model (HMF), during the QSS, calculated with the Lynden-Bell theory. The results of our work allowed to confirm numerically the presence of a phase re-entrance. In the Thesis is present also a detailed description on the system's caloric curves and on the metastability. Still in this context we show an analysis of the equivalence of the statistical ensembles, confirmed in almost the totality of the phase diagram (except for a small region), although the presence of negative specific heat in the microcanonical ensemble, which in Boltzmannian systems implies the non-equivalence of statistical ensembles. This result allowed us to arrive to a surprising conclusion: the presence of negative specific heat in the canonical ensemble. Still in the context of long-range interacting systems we analyze the linear stability of the non-homogeneous QSSs with respect to the Vlasov equation. Since the study of QSS find an application in the Free-electron laser (FEL) and other light sources, which are characterized by wave-particle interaction, we analyze, in the last chapter, the experimental perspectives of our work in this context. The other class of systems we studied are short-range interacting systems. Here the behavior of the components of the system is strongly influenced by the neighbors, and if one takes a system in a disordered state (a zero magnetization state for magnetic systems), which relaxes towards an ordered equilibrium state, one sees that the ordering process first develops locally and then extends to the whole system forming domains of opposed magnetization which grow in size. This process is called "coarsening". Our work in this field consisted in investigating numerically the laws of scale, and in the Thesis we characterize the temporal dependence of the domain sizes for different interaction ranges and we show a comparison between Hamiltonian and Langevin dynamics. This work inserts in the open debate on the equivalence of different dynamics where we found that, at least for times not too large, the two dynamics give different scaling laws.
In questa Tesi è stato fatto uno studio di natura teorico-computazionale sul comportamento dei sistemi isolati lontani dall'equilibrio termodinamico. Analizzando modelli noti in letteratura è stato seguito un percorso che ha portato alla classificazione di differenti comportamenti in funzione del range di interazione delle particelle del sistema. Nel caso di sistemi con interazione a lungo raggio sono stati studiati gli "stati quasi-stazionari" (QSS) che emergono a tempi brevi quando il sistema evolve con dinamica hamiltoniana. Il loro interesse risiede nel fatto che in molti sistemi fisici, come i sistemi auto-gravitanti, plasmi e sistemi caratterizzati da interazione onda-particella, i QSS risultano essere gli unici regimi accessibili sperimentalmente. I QSS sono definiti come soluzioni stabili dell'equazione di Vlasov, e visto che la loro durata diverge con la taglia del sistema, per sistemi di grandi dimensioni possono essere visti come i veri stati di equilibrio. Questi non seguono la statistica di Bolzmann, e non esiste una teoria generale che li descriva. E' tuttavia possibile fare una descrizione approssimata utilizzando la teoria di Lynden-Bell. Una parte della tesi è dedicata alla comprensione delle caratteristiche del diagramma di fase del modello "Hamiltonian mean field" (HMF) durante il QSS, calcolato con la teoria di Lynden-Bell. Il risultato del nostro lavoro ha permesso di confermare numericamente la presenza di fasi rientrati. E' inoltre presente un'analisi dettagliata sulle curve caloriche del sistema e sulla metastabilità. Sempre in questo contesto è stata fatto uno studio sull'equivalenza degli ensemble statistici, confermata nella quasi totalità del diagramma di fase (tranne in una piccola regione), nonostante la presenza di calore specifico negativo nell'insieme microcanonico, che in sistemi Boltzmanniani è sinonimo di non-equivalenza degli ensemble statistici. Questo risultato ci ha permesso di arrivare ad una sorprendente conclusione: la presenza di calore specifico negativo nell'insieme canonico. Sempre nel contesto dei sistemi con interazione a lungo range, è stata analizzata la stabilità lineare rispetto all'equazione di Vlasov degli stati quasi-stazionari non-omogenei. Poiché lo studio dei QSS trova applicazione nel Free-electron laser (FEL) e in altre sorgenti di luce, caratterizzate dall'interazione onda-particella, abbiamo analizzato anche le prospettive sperimentali del nostro lavoro in questo contesto. L'altra classe di sistemi che è stata studiata sono i sistemi con interazione a corto raggio. Qui il comportamento dei componenti del sistema è fortemente influenzato dai vicini, e se si prende un sistema in uno stato disordinato (a magnetizzazione nulla nei sistemi magnetici) che rilassa verso l'equilibrio ordinato, si vede che il processo di ordinamento si sviluppa prima localmente e poi si estende a tutto il sistema formando dei domini di magnetizzazione opposta che crescono in taglia. Questo processo si chiama "coarsening". Il nostro lavoro in questo contesto è consistito in una investigazione numerica delle leggi di scala, e nella tesi è stata caratterizzata la dipendenza temporale della taglia dei domini per differenti range di interazione ed è stato fatto un confronto fra dinamica hamiltoniana e dinamica di Langevin. Questi risultati si inseriscono nel dibattito aperto sull'equivalenza di differenti dinamiche, e si è mostrato che, almeno per tempi non troppo grandi, le due dinamiche portano a leggi di scala differenti.
XXIII Ciclo
1982
Preto, Jordane. "Long-range interactions in biological systems." Thesis, Aix-Marseille, 2012. http://www.theses.fr/2012AIXM4053.
Повний текст джерелаSelf-organization of living organisms is of an astonishing complexity and efficiency. More specifically, biological systems are the site of a huge number of very specific reactions thatrequire the right biomolecule to be at the right place, in the right order and in a reasonably short time to sustain cellular function and ultimately cellular life. From the dynamic point of view, this raises the fundamental question of how biomolecules effectively find their target(s); in other words, what kinds of forces bring all these specific cognate partners together in an environment as dense and ionized as cellular micro-environments. In the present thesis, we explore the possibility that biomolecules interact through long-range electromagnetic interactions as they are predicted from the first principles of physics; "long-range" meaning that the mentioned interactions are effective over distances much larger than the typical dimensions of the molecules involved (i.e., larger than about 50 angströms in biological systems).After laying the theoretical foundations about interactions that are potentially active over long distances in a biological context, we investigate the possibility of detecting their contribution from experimental devices which are nowadays available. On the latter point, encouraging preliminary results both at the theoretical and experimental levels are exposed
Myers, Owen Dale. "Spatiotemporally Periodic Driven System with Long-Range Interactions." ScholarWorks @ UVM, 2015. http://scholarworks.uvm.edu/graddis/524.
Повний текст джерелаBuyskikh, Anton S. "Dynamics of quantum many-body systems with long-range interactions." Thesis, University of Strathclyde, 2017. http://digitool.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=28798.
Повний текст джерелаOlivier, G. J. F. (Gerrit Jacobus Francois). "Statistical thermodynamics of long-range quantum spin systems." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/20003.
Повний текст джерелаENGLISH ABSTRACT:In this thesis we discuss some of the anomalies present in systems with long-range interactions, for instance negative speci c heat and negative magnetic susceptibility, and show how they can be related to the convexity properties of the thermodynamic potentials and nonequivalence of ensembles. We also discuss the possibility of engineering long-range quantum spin systems with cold atoms in optical lattices to experimentally verify the existence of nonequivalence of ensembles. We then formulate an expression for the density of states when the energy and magnetisation correspond to a pair of non-commuting operators. Finally we analytically compute the entropy s( ;m) as a function of energy, , and magnetisation, m, for the anisotropic Heisenberg model with Curie-Weiss type interactions. The results show that the entropy is non-concave in terms of magnetisation under certain circumstances which in turn indicates that the microcanonical and canonical ensembles are not equivalent and that the magnetic susceptibility is negative. After making an appropriate change of variables we show that a second-order phase transition can be present at negative temperatures in the microcanonical ensemble which cannot be represented in the canonical ensemble.
AFRIKAANSE OPSOMMING: In hierdie tesis bespreek ons van die onverwagte eienskappe wat sisteme met lang afstand wisselwerkings kan openbaar, byvoorbeeld negatiewe spesi eke warmte en negatiewe magnetiese suseptibiliteit. Ons dui ook die ooreenkoms tussen hierdie gedrag en die konveksiteit van die termodinamiese potensiale en nie-ekwivalente ensembles aan. Hierna bespreek ons die moontlikheid om lang afstand kwantum spin sisteme te realiseer met koue atome in 'n optiese rooster. Daarna wys ons hoe dit moontlik is om 'n uitdrukking vir die digtheid van toestande te formuleer vir sisteme waar die energie en magnetisasie ooreenstem met operatore wat nie met mekaar kommuteer nie. Uiteindelik bepaal ons die entropie, s( ;m), in terme van die energie, , en magnetisasie, m, vir die anisotropiese Heisenberg model met Curie-Weiss tipe interaksies. Die resultate wys dat die entropie onder sekere omstandighede nie konkaaf in terme van magnetisasie is nie. Dit, op sy beurt, dui aan dat die mikrokanoniese en kanoniese ensembles nie ekwivalent is nie en dat die magnetiese suseptibiliteit negatief kan wees. Nadat ons 'n toepaslike transformasie van veranderlikes maak, wys ons dat 'n tweede orde fase-oorgang by negatiewe temperature kan plaasvind in die mikrokanoniese ensemble wat nie verteenwoordig kan word in die kanoniese ensemble nie.
Mihaylov, Petar. "Investigation of long-range interactions in the human visual system." Thesis, Glasgow Caledonian University, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.547413.
Повний текст джерелаBenetti, Fernanda Pereira da Cruz. "Relaxation and quasi-stationary states in systems with long-range interactions." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2016. http://hdl.handle.net/10183/156793.
Повний текст джерелаSystems whose components interact by unscreened long-range forces for example, stellar systems and non-neutral plasmas have characteristics that are anomalous with respect to systems with shielded or short-range forces. Besides presenting unique thermodynamic properties such as negative speci c heat and inequivalence of ensembles, their dynamics is predominantly collisionless and leads to out-of-equilibrium quasi-stationary states. These states are notoriously di cult to predict given an arbitrary initial condition, and there is still no uni ed theory to treat them. Thermodynamic equilibrium is reached only after long timescales that increase with the system size and often exceed the lifetime of the universe. Relaxation to equilibrium, therefore, has two timescales: one short, leading to outof- equilibrium quasi-stationary states, and a second, longer, which leads to thermodynamic equilibrium. In this thesis, we examine these phenomena by applying theoretical models and numerical simulation for di erent long-range interacting systems, including a model of classical XY-type spins with long-range interactions, and the self-gravitating system in three dimensions. In a second stage we study the collisional relaxation to thermodynamic equilibrium through kinetic equations and numerical simulation. We thus seek to clarify the mechanisms behind the quasi-stationary states and collisional relaxation.
Botzung, Thomas. "Study of strongly correlated one-dimensional systems with long-range interactions." Thesis, Strasbourg, 2019. http://www.theses.fr/2019STRAF062.
Повний текст джерелаDuring this Ph.D., we studied one-dimensional systems with long-range couplings. In the first part, we demonstrate that power-law couplings lead to an algebraic decay of correlations at long distances in disordered quantum wires. In the second chapter, we analysed an extended Hubbard model where particles interact via a finite-range potential that induces frustration and new exotic phases. In the third chapter, we demonstrated that restoring energy extensivity has an influence on the low-energy properties of quantum model in the thermodynamic limit. Finally, we provide preliminary results on the modification of Anderson localization due to the coupling to a cavity mode
Botzung, Thomas <1993>. "Study of strongly correlated one-dimensional systems with long-range interactions." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2019. http://amsdottorato.unibo.it/9485/1/Botzung_Thomas_2019_PdH_tesi.pdf.
Повний текст джерелаDurant cette thèse, nous étudions des systèmes unidimensionnels avec des couplages longue-portée. Dans la première partie, nous démontrons que ces couplages entraînent une décroissance algébrique des corrélations dans des fils quantiques désordonnés. Deuxièmement, nous analysons un modèle étendu de Hubbard où les particules interagissent via un potentiel « soft-core » générant de nouvelles phases exotiques. Dans le troisième chapitre, nous démontrons que restaurer l’extensivité a une influence sur les propriétés de basse énergie de modèle quantique dans la limite thermodynamique. Finalement, nous présentons des résultats préliminaires sur la modification de la localisation d’Anderson en présence d’un couplage avec une cavité.
Qin, Liang. "Application of irreversible Monte Carlo in realistic long-range systems." Thesis, Université Paris sciences et lettres, 2020. http://www.theses.fr/2020UPSLE009.
Повний текст джерелаThis thesis studies the behavior of event-chain Monte Carlo (ECMC) in long-range particle systems. In the first two chapters, we introduce established methods for molecular simulation, highlighting their difficulties in dealing with Coulomb interaction, and gives the basic of ECMC. The third chapter presents our framework of Coulomb system sampling using ECMC. Under the tin-foil convention, the formulation consisting of pairwise terms for electrostatics can be directly applied to the cell-veto method. Together with dipole factorization, we obtain an O(NlogN)-per-sweep algorithm for dipole systems. Chapters four and five describe our development of a scientific application called JeLLyFysh for molecular simulation through ECMC. Its mediator design and stream processing of all operations can best accommodate future extensions. Using JeLLyFysh, we profile the performance of ECMC for large water systems in chapter six. The resulting dynamics imply that a more sophisticated scheme is needed to equilibrate the polarization. Finally, in chapter seven, we test the sampling strategy with sequential direction change. The dipole evolution exhibits distinct dynamics, and the set of direction choices and the order to select prove both crucial in mixing the dipole's orientation
De, Nigris Sarah. "Influence of Network topology on the onset of long-range interaction." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4718.
Повний текст джерелаIn this thesis we discuss the influence of a non trivial network topology on the collective properties of an Hamiltonian model defined on it, the $XY$ -rotors model. We first focus on networks topology analysis, considering the regular chain and a Small World network, created with the Watt-Strogatz model. We parametrize these topologies via $\gamma$, giving the vertex degree and $p$, the probability of rewiring. We then define two topological parameters, the average path length $\ell$and the connectivity $C$ and we analize their dependence on $\gamma$ and $p$. Secondly, we consider the behavior of the $XY$- model on the regular chain and we find two regimes: one for $\gamma<1.5$, which does not display any long-range order and one for $\gamma>1.5$ in which a second order phase transition of the magnetization arises. Moreover we observe the existence of a metastable state appearing for $\gamma_{c}=1.5$. Finally we illustrate in what conditions we retrieve the phase transition on Small World networks and how its critical energy $\varepsilon_{c}(\gamma,p)$ depends on the topological parameters $\gamma$ and $p$. In the last part, we propose a network model in which links of a regular chain are rewired according to a probability $p$ within a specific range $r$. We identify a quantity, the network dimension $d(p,r)$ as a crucial parameter. Varying this dimension we are able to cross over from topologies with $d<2$ exhibiting no phase transitions to ones with $d>2$ displaying a second order phase transition, passing by topologies with dimension $d=2$ which exhibit states characterized by infinite susceptibility and macroscopic chaotic dynamical behavior
Toh, Han Shih. "The effect of anisotropic long-range interactions on pure and random-field systems." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.292564.
Повний текст джерелаOgawa, Shun. "Study on non-equilibrium quasi-stationary states for Hamiltonian systems with long-range interaction." 京都大学 (Kyoto University), 2013. http://hdl.handle.net/2433/180471.
Повний текст джерелаTurchi, Alessio. "Dynamics and statistics of systems with long range interactions : application to 1-dimensional toy-models." Thesis, Aix-Marseille, 2012. http://www.theses.fr/2012AIXM4810/document.
Повний текст джерелаThe scope of this thesis is the study of systems with long-range interactions (LR). The complexity of their dynamics evidences counter-intuitive and unexpected properties, as for instance the existence of out-of-equilibrium stationary states (QSS). Considering a system in the QSS, one may observe peculiar properties, as negative specific heat, statistical ensemble inequivalence and phenomena of self-organizations. The main theories of long-range interactions have been applied to describing self-gravitating systems, two-dimensional vortices, systems with wave-particle interactions and charged plasmas. My work has been initially dedicated to extending the Lynden-Bell solution for the HMF model, generalizing the analysis to multi-level water-bag initial condition that could approximate continuous distributions. Then I concentrated to the formal characterization of the thermodynamics of QSS in the canonical statistical ensemble. By applying the standard theory, it is possible to measure negative “kinetic” specific heat. This latter unexpected property leads to a violation of the second principle of thermodynamics. Such result forces us to reconsider the applicability of the accepted thermodynamic theory to LR systems. Afterwards I studied, in the context of the α-HMF model, the persistence of the typical characteristics of the LR regime in the limit of short-range dynamics. The results obtained suggests a generalization of the definition of LR systems. The last chapter is dedicated to the characterization of a novel LR model, a natural extension of α-HMF and of potential applicability
Heidari, Maziar [Verfasser]. "Development and Application of Hamiltonian Adaptive Resolution Simulations for Systems having Long-range Interactions / Maziar Heidari." Mainz : Universitätsbibliothek Mainz, 2019. http://d-nb.info/1196112134/34.
Повний текст джерелаLang, Johannes [Verfasser], Wilhelm [Akademischer Betreuer] Zwerger, Wilhelm [Gutachter] Zwerger, and Michael [Gutachter] Hartmann. "Non-equilibrium Phase Transitions in Systems with long-range Interactions / Johannes Lang ; Gutachter: Wilhelm Zwerger, Michael Hartmann ; Betreuer: Wilhelm Zwerger." München : Universitätsbibliothek der TU München, 2019. http://d-nb.info/1194162819/34.
Повний текст джерелаXin, W. (Weidong). "Continuum electrostatics of biomolecular systems." Doctoral thesis, University of Oulu, 2008. http://urn.fi/urn:isbn:9789514287602.
Повний текст джерелаGARNIER, AMALIA. "Processus metamagnetiques dans les systemes frustres rm#2x#2 (r = terre rare, m = metal de transition, x = si ou ge)." Université Joseph Fourier (Grenoble), 1996. http://www.theses.fr/1996GRE10129.
Повний текст джерелаKaiser, Vojtech. "The Wien Effect in Electric and Magnetic Coulomb systems - from Electrolytes to Spin Ice." Thesis, Lyon, École normale supérieure, 2014. http://www.theses.fr/2014ENSL0942/document.
Повний текст джерелаA Coulomb gas or fluid comprises charged particles that interact via the Coulomb interaction. Examples of a Coulombic systems include simple and complex electrolytes together with magnetic monopoles in spin ice. The long-range nature of the Coulomb interaction leads to a rich array of phenomena.This thesis is devoted to the study of the non-equilibrium behaviour of lattice based Coulomb gases and of the quasi-particle excitations in the materials known as spin ice which constitute a Coulomb gas of magnetic charges. At the centre of this study lies the second Wien effect which describes the linear increase in conductivity when an electric field is applied to a weak electrolyte. The conductivity increases due to the generation of additional mobile charges via a field-enhanced dissociation from Coulombically bound pairs.The seminal theory of Onsager gave a detailed analysis of the Wien effect. We use numerical simulations not only to confirm its validity in a lattice Coulomb gas for the first time but mainly to study its extensions due to the role of the ionic atmosphere and field-dependent mobility. The simulations also allow us to observe the microscopic correlations underlying the Wien effect.Finally, we look more closely at the emergent gas of monopoles in spin ice—the magnetolyte. The magnetic behaviour of spin ice reflects the properties of the Coulomb gas contained within. We verify the presence of the Wien effect in model spin ice and in the process predict the non-linear response when exposed to a periodic driving field, or to a field quench using Wien effect theory. We use a straightforward extension of the lattice Coulomb gas simulations to refine our predictions. It is a highly unusual result to find an analytic theory for the non-equilibrium behaviour of a highly frustrated system beyond linear response
Masella, Guido. "Exotic quantum phenomena in cold atomic gases : numerical approaches." Thesis, Strasbourg, 2019. http://www.theses.fr/2019STRAF061.
Повний текст джерелаThe central aim of this thesis is the study of the low-energy and low-temperature properties of strongly correlated systems of bosonic particles interacting via finite- and long-range potentials, and relevant to experimental realization with cold atomic gases. This study is carried out with a combination of state-of-the-art numerical techniques such as Path Integral Monte Carlo and analytical techniques. The main result of my work is the demonstration of the existence of a stripe supersolid phase and of a rare transition between isotropic and anisotropic supersolids in a finite-range interacting model of hard-bosons on a square lattice. I also investigate the out-of-equilibrium scenarios of such models via simulated temperature quenches. Finally, I investigate how restoring energy extensivity in long-range interacting systems can have a profound incidence on the low-energy properties in the thermodynamic limit
Teles, Tarcisio Nunes. "Mecânica estatística em sistemas com interações de longo alcance : estados estacionários e equilíbrio." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2012. http://hdl.handle.net/10183/55450.
Повний текст джерелаSince the work of Clausius, Boltzmann and Gibbs, it is known that particles interacting by a short-range potential, after a relaxation process, reach a final stationary state that corresponds to thermodynamic equilibrium. Although no exact proof exists, in practice non-integrable systems with fixed energy and a finite number of particles (i.e., microcanonical ensemble) always relax to a stationary state that depends only on global quantities conserved by the dynamics: energy, momentum and angular momentum. This stationary state corresponds to the state of thermodynamic equilibrium and does not depend on the specifics of the initial particle distribution. This scenario changes drastically when the interaction between particles is longranged [2] The statistical and thermodynamic description of these systems is still an object of study. However, a fundamental property of these systems is the fact that, in the thermodynamic limit, the collision time diverges and thermodynamic equilibrium is never achieved [3].. In this thesis we analyse, from a theoretical point of view and using molecular dynamics simulations, the stationary state achieved by self-gravitating systems in one, two and three dimensions and non-neutral plasmas in the dynamics of charged particle beams. We also analyse a model with out-of-equilibrium phase transitions (HMF). In all these cases, the theory proposed in this thesis is shown to be consistent with the numerical simulations applied.
PATELLI, AURELIO. "Perturbation theory for the dynamics of mean-field systems." Doctoral thesis, 2014. http://hdl.handle.net/2158/837308.
Повний текст джерелаSilva, James Brian. "The role of heterogeneity in long-range interacting systems : from nucleation to earthquake fault systems." Thesis, 2016. https://hdl.handle.net/2144/19420.
Повний текст джерела"Many-body localization and coherency in systems with long-range interactions." Tulane University, 2019.
Знайти повний текст джерелаThe fundamental problem of thermalization in quantum systems with long-range interactions is a target of the present study. This problem is relevant for the vast number of phenomena ranging from thermal conductivity of materials to error propagation in quantum computers. Two types of quantum systems are studied analytically in this work with a support from numerical simulations. Spin chains with power-law interactions are chosen as an example system that represents behavior of qubits in a quantum computer while the vibrational problem with non-linear interactions is a toy model of a polymer molecule with anharmonic bonding. The analytical results developed for both models within the framework of resonant counting method allow one to predict the integrability-chaos transitions for the future experimental verification.
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Andrii Makysmov
Xu, Huangjian. "Computer simulations of critical phenomena in systems with long range interaction: A study of ising dipoles and self-organized criticality in earthquakes." Thesis, 1992. http://hdl.handle.net/2429/3143.
Повний текст джерелаPrenzel, Tanja. "The Role of the Ubiquitin-Proteasome System in the Regulation of Nuclear Hormone Receptor-Dependent Transcription." Doctoral thesis, 2010. http://hdl.handle.net/11858/00-1735-0000-0006-ADF9-D.
Повний текст джерелаΠαναγιωτόπουλος, Ηλίας. "Μελέτη εντοπισμένων ταλαντώσεων σε μη γραμμικά χαμιλτώνια πλέγματα". Thesis, 2014. http://hdl.handle.net/10889/8279.
Повний текст джерелаWe study time-periodic and spatially localized solutions in discrete dynamical systems describing Hamiltonian lattices in one spatial dimension. These solutions are called discrete breathers (DBs) or intrinsic localized modes (ILM). Necessary conditions for their occurrence are the boundedness of the spectrum of linear oscillations of the system as well as the nonlinearity of the equations of motion. More specifically, we focus on a Klein Gordon lattice and present an existence proof for such solutions, as well as numerical results revealing the stability (or instability) of DBs using Floquet theory. Besides reporting on the classical Klein Gordon model with nearest neighbor interactions, we also introduce long range interactions in our model, which are controlled by a parameter α and study the effect of varying the range of interactions on the spatial localization and the stability of a DB.