Relevant bibliographies by topics / Long range interacting system

Academic literature on the topic 'Long range interacting system'

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Published: 10 March 2023

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Journal articles on the topic "Long range interacting system"

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Tamarit, Francisco A., and Celia Anteneodo. "Relaxation and aging in a long-range interacting system." Europhysics News 36, no. 6 (November 2005): 194–97. http://dx.doi.org/10.1051/epn:2005605.

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Yang, Zhen-Yu, and Ji-Xuan Hou. "Thermodynamic analysis of a long-range interacting spin system." Modern Physics Letters B 33, no. 07 (March 10, 2019): 1950072. http://dx.doi.org/10.1142/s0217984919500726.

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A long-range interacting Fermi chain placed in the uniform and the staggered magnetic field is studied via the micro-canonical approach. The relation between the entropy and the energy of the system is obtained by counting the number of microscopic states. We find that this system is non-ergodic and can exhibit first-order phase transition, second-order phase transition, or both. The microcanonical ensemble predicts negative specific heat regions and temperature jumps. Moreover, the global phase diagram of the system is constructed.
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Joshi, M. K., F. Kranzl, A. Schuckert, I. Lovas, C. Maier, R. Blatt, M. Knap, and C. F. Roos. "Observing emergent hydrodynamics in a long-range quantum magnet." Science 376, no. 6594 (May 13, 2022): 720–24. http://dx.doi.org/10.1126/science.abk2400.

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Identifying universal properties of nonequilibrium quantum states is a major challenge in modern physics. A fascinating prediction is that classical hydrodynamics emerges universally in the evolution of any interacting quantum system. We experimentally probed the quantum dynamics of 51 individually controlled ions, realizing a long-range interacting spin chain. By measuring space-time–resolved correlation functions in an infinite temperature state, we observed a whole family of hydrodynamic universality classes, ranging from normal diffusion to anomalous superdiffusion, that are described by Lévy flights. We extracted the transport coefficients of the hydrodynamic theory, reflecting the microscopic properties of the system. Our observations demonstrate the potential for engineered quantum systems to provide key insights into universal properties of nonequilibrium states of quantum matter.
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Yuan, Chen. "Dynamics of Non-interacting System with Long-Range Correlated Quenched Impurities." Communications in Theoretical Physics 39, no. 6 (June 15, 2003): 741–44. http://dx.doi.org/10.1088/0253-6102/39/6/741.

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Gupta, Shamik, and David Mukamel. "Relaxation dynamics of stochastic long-range interacting systems." Journal of Statistical Mechanics: Theory and Experiment 2010, no. 08 (August 26, 2010): P08026. http://dx.doi.org/10.1088/1742-5468/2010/08/p08026.

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Sasaki, Munetaka, and Fumitaka Matsubara. "Stochastic Cutoff Method for Long-Range Interacting Systems." Journal of the Physical Society of Japan 77, no. 2 (February 15, 2008): 024004. http://dx.doi.org/10.1143/jpsj.77.024004.

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Bernard, D., M. Gaudin, F. D. M. Haldane, and V. Pasquier. "Yang-Baxter equation in long-range interacting systems." Journal of Physics A: Mathematical and General 26, no. 20 (October 21, 1993): 5219–36. http://dx.doi.org/10.1088/0305-4470/26/20/010.

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Defenu, Nicolò. "Metastability and discrete spectrum of long-range systems." Proceedings of the National Academy of Sciences 118, no. 30 (July 23, 2021): e2101785118. http://dx.doi.org/10.1073/pnas.2101785118.

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Long-lived quasi-stationary states (QSSs) are a signature characteristic of long-range interacting systems both in the classical and in the quantum realms. Often, they emerge after a sudden quench of the Hamiltonian internal parameters and present a macroscopic lifetime, which increases with the system size. Despite their ubiquity, the fundamental mechanism at their root remains unknown. Here, we show that the spectrum of systems with power-law decaying couplings remains discrete up to the thermodynamic limit. As a consequence, several traditional results on the chaotic nature of the spectrum in many-body quantum systems are not satisfied in the presence of long-range interactions. In particular, the existence of QSSs may be traced back to the finiteness of Poincaré recurrence times. This picture justifies and extends known results on the anomalous magnetization dynamics in the quantum Ising model with power-law decaying couplings. The comparison between the discrete spectrum of long-range systems and more conventional examples of pure point spectra in the disordered case is also discussed.
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CANNAS, SERGIO A., CINTIA M. LAPILLI, and DANIEL A. STARIOLO. "TESTING BOUNDARY CONDITIONS EFFICIENCY IN SIMULATIONS OF LONG-RANGE INTERACTING MAGNETIC MODELS." International Journal of Modern Physics C 15, no. 01 (January 2004): 115–27. http://dx.doi.org/10.1142/s0129183104005553.

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Periodic boundary conditions have no unique implementation in magnetic systems where all spins interact with each other through a power law decaying interaction of the form 1/rα, r being the distance between spins. In this work we present a comparative study of the finite size effects oberved in numerical simulations by using first image and infinite image periodic boundary conditions in one- and two-dimensional spin systems with those interactions, including the ferromagnetic, anti-ferromagnetic and competitive interaction cases. Our results show no significative differences between the finite size effects produced by both boundary conditions when the low temperature phase has zero global magnetization, and it depends on the ratio α/d for systems with a low temperature ferromagnetic phase. In the last case the first image convention gives more stronger finite size effects than the other when the system enters into the classical regime α/d≤3/2.
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Gupta, Shamik, and Stefano Ruffo. "The world of long-range interactions: A bird’s eye view." International Journal of Modern Physics A 32, no. 09 (March 23, 2017): 1741018. http://dx.doi.org/10.1142/s0217751x17410184.

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In recent years, studies of long-range interacting (LRI) systems have taken center stage in the arena of statistical mechanics and dynamical system studies, due to new theoretical developments involving tools from as diverse a field as kinetic theory, non-equilibrium statistical mechanics, and large deviation theory, but also due to new and exciting experimental realizations of LRI systems. In the first, introductory, Section 1, we discuss the general features of long-range interactions, emphasizing in particular the main physical phenomenon of non-additivity, which leads to a plethora of distinct effects, both thermodynamic and dynamic, that are not observed with short-range interactions: Ensemble inequivalence, slow relaxation, broken ergodicity. In Section 2, we discuss several physical systems with long-range interactions: mean-field spin systems, self-gravitating systems, Euler equations in two dimensions, Coulomb systems, one-component electron plasma, dipolar systems, free-electron lasers. In Section 3, we discuss the general scenario of dynamical evolution of generic LRI systems. In Section 4, we discuss an illustrative example of LRI systems, the Kardar–Nagel spin system, which involves discrete degrees of freedom, while in Section 5, we discuss a paradigmatic example involving continuous degrees of freedom, the so-called Hamiltonian mean-field (HMF) model. For the former, we demonstrate the effects of ensemble inequivalence and slow relaxation, while for the HMF model, we emphasize in particular the occurrence of the so-called quasistationary states (QSSs) during relaxation towards the Boltzmann–Gibbs equilibrium state. The QSSs are non-equilibrium states with lifetimes that diverge with the system size, so that in the thermodynamic limit, the systems remain trapped in the QSSs, thereby making the latter the effective stationary states. In Section 5, we also discuss an experimental system involving atoms trapped in optical cavities, which may be modelled by the HMF system. In Section 6, we address the issue of ubiquity of the quasistationary behavior by considering a variety of models and dynamics, discussing in each case the conditions to observe QSSs. In Section 7, we investigate the issue of what happens when a long-range system is driven out of thermal equilibrium. Conclusions are drawn in Section 8.
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Dissertations / Theses on the topic "Long range interacting system"

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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.

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Université Pierre et Marie Curie
Laboratoire 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.
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Morand, Jules. "Dynamics of long range interacting systems beyond the Vlasov limit." Thesis, Paris 6, 2014. http://www.theses.fr/2014PA066624/document.

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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 longue que les simulation montre que ces systèmes relaxent à l’équilibre thermodynamique.Les états quasi-stationnaire sont interprétés théoriquement comme les solution stationnaires de l'équation de Vlasov. Cette équation de champs moyen représente un très bonne approximation de la dynamique macroscopique des systèmes en interaction à longue portée dans la limite ou le nombre de particule tend vers l'infini. Dans une premier temps, nous nous attacherons 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 perturbation non-Hamiltonienne. La robustesse des états quasi-stationnaires en présence des différentes perturbation est analysée en détails
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
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Myers, Owen Dale. "Spatiotemporally Periodic Driven System with Long-Range Interactions." ScholarWorks @ UVM, 2015. http://scholarworks.uvm.edu/graddis/524.

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It is well known that some driven systems undergo transitions when a system parameter is changed adiabatically around a critical value. This transition can be the result of a fundamental change in the structure of the phase space, called a bifurcation. Most of these transitions are well classified in the theory of bifurcations. Among the driven systems, spatiotemporally periodic (STP) potentials are noteworthy due to the intimate coupling between their time and spatial components. A paradigmatic example of such a system is the Kapitza pendulum, which is a pendulum with an oscillating suspension point. The Kapitza pendulum has the strange property that it will stand stably in the inverted position for certain driving frequencies and amplitudes. A particularly interesting and useful STP system is an array of parallel electrodes driven with an AC electrical potential such that adjacent electrodes are 180 degrees out of phase. Such an electrode array embedded in a surface is called an Electric Curtain (EC). As we will show, by using two ECs and a quadrupole trap it is posible to produce an electric potential simular in form to that of the Kapitza pendulum. Here I will present the results of four related pieces of work, each focused on understanding the behaviors STP systems, long-range interacting particles, and long-range interacting particles in STP systems. I will begin with a discussion on the experimental results of the EC as applied to the cleaning of solar panels in extraterrestrial environments, and as a way to produce a novel one-dimensional multiparticle STP potential. Then I will present a numerical investigation and dynamical systems analysis of the dynamics that may be possible in an EC. Moving to a simpler model in order to explore the rudimentary physics of coulomb interactions in a STP potential, I will show that the tools of statistical mechanics may be important to the study of such systems to understand transitions that fall outside of bifurcation theory. Though the Coulomb and, similarly, gravitational interactions of particles are prevalent in nature, these long-range interactions are not well understood from a statistical mechanics perspective because they are not extensive or additive. Finally, I will present a simple model for understanding long-range interacting pendula, finding interesting non-equilibrium behavior of the pendula angles. Namely, that a quasistationary clustered state can exist when the angles are initially ordered by their index.
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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.

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Two main topics are examined in this thesis: classical systems with long-range interactions and thermal radiation in the near-field regime. In the first part, we present a thermodynamic approach describing systems with long-range interactions which takes into account the intrinsic nonadditivity in these systems. The basic concept behind this approach is to consider a large ensemble of replicas of the system where the standard formulation of thermodynamics can be naturally applied and the properties of a single system can be consequently inferred. The formulation of the thermodynamic for these systems is in close connection with Hill's thermodynamics of systems with small number of particles. It is shown that systems with long-range interactions can attain equilibrium configurations in the unconstrained ensemble. In this statistical ensemble, the control parameters are the temperature, pressure, and chemical potential, while the energy, volume, and number of particles fluctuate. We consider a solvable model as a concrete example of a system that achieves stable equilibria in this ensemble. We also give a complete description of the phase-diagram of the Thirring model in both the microcanonical and the canonical ensemble, highlighting the main features of ensemble inequivalence. I the second part, we study energy and entropy fluxes of near-field thermal radiation in many-body systems, with application to energy-conversion processes. It is shown that the maximum work that can be obtained from the thermal radiation emitted by two planar sources in the near-field regime is much larger than that corresponding to the blackbody limit. This quantity as well as an upper bound for the efficiency of the process are computed from the formulation of thermodynamics in the near-field regime. The case when the difference of temperatures of the hot source and the environment is small, relevant for energy harvesting, is studied in detail. We also show that thermal radiation energy conversion can be more efficient in the near-field regime. Moreover, by analyzing the thermodynamic performance of three-body near-field heat engines, we demonstrate that the power they supply can be substantially larger than that of two-body systems, showing their strong potential for energy harvesting. Theoretical limits for energy and entropy fluxes in three-body systems are discussed and compared with their corresponding two-body counterparts. Such considerations confirm that the thermodynamic availability in energy-conversion processes driven by three-body photon tunneling can exceed the thermodynamic availability in two-body systems.
En 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.
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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.

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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.

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The thesis is divided in two parts, corresponding to the two main subjects on which I have worked during my PhD. In the first Part, we introduce many-body long-range interacting systems, such as plasma and self-gravitating systems. We first review the well known properties of isolated systems, which show peculiar behaviors both for what concern the equilibrium and the relaxation to equilibrium. We then consider long-range systems driven away from equilibrium and we show how the techniques developed for isolated systems can be extended to describe these situations. Generalizations to describe simplified models relevant for geophysical flows and two-dimensional turbulence are also discussed. Our work stands at the edge between the study of long-range interacting systems and the study of non-equilibrium systems.The second part of the thesis is devoted to the study of equilibrium properties of Hamiltonian systems with energy landscape techniques. A number of recent results is reviewed and applied to long and short-range interacting systems. One of the scope of my work was to study models whose energy landscape is much more complicated than what previously done. In the case of ferromagnetic short-range O(n) models on hypercubic lattices, our analysis unveiled a striking similarity between the critical energies of the Ising model and the O(n) models defined on the same lattice with the same interaction matrix. Generalizations of the Stillinger and Weber formalism are discussed as preliminary results and future perspectives.
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Qin, Liang. "Application of irreversible Monte Carlo in realistic long-range systems." Thesis, Université Paris sciences et lettres, 2020. http://www.theses.fr/2020UPSLE009.

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Cette thèse étudie le comportement de la chaîne d'événements de Monte Carlo (ECMC) dans les systèmes de particules à interaction de longue portée. Les deux premiers chapitres présentent les méthodes actuelles de simulation moléculaire, en soulignant leurs difficultés à traiter l'interaction de Coulomb, et donnent les bases de l'ECMC. Le troisième chapitre présente notre cadre d'échantillonnage du système de Coulomb à l'aide de l'ECMC. Dans le cadre de la convention "tin-foil", la formulation constituée d’interaction à deux corps pour l'électrostatique peut être appliquée directement à la méthode "cell-veto". En ajoutant à cela, la factorisation dipolaire obtient un algorithme en O(NlogN)-par-balayage pour les systèmes dipolaires. Les chapitres quatre et cinq décrivent notre développement d'une application scientifique appelée JeLLyFysh pour la simulation moléculaire par ECMC. La conception de son médiateur et le traitement de toutes les opérations en flux continu sont les mieux adaptés aux extensions futures. Le chapitre six décrit les performances de l'ECMC pour les grands systèmes d'eau à l’aide de JeLLyFysh. La dynamique qui en résulte implique qu'un schéma plus sophistiqué est nécessaire pour équilibrer la polarisation. Enfin, au chapitre sept, on teste la stratégie d'échantillonnage avec changement de direction séquentiel. L'évolution du dipôle présente une dynamique particulière, et l'ensemble des choix de direction ainsi que l'ordre de sélection s'avèrent tous deux cruciaux pour atteindre la distribution stationnaire de l'orientation du dipôle
This 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
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Preto, Jordane. "Long-range interactions in biological systems." Thesis, Aix-Marseille, 2012. http://www.theses.fr/2012AIXM4053.

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L'auto-organisation des organismes vivants est d'une complexité et d'une efficacité étonnantes. Plus précisément, les systèmes biologiques abritent un nombre gigantesque de réactions très spécifiques qui nécessitent que la bonne biomolécule se retrouve à la bonne place, dans le bon ordre et en un temps suffisamment court pour permettre le fonctionnement cellulaire, et au-delà la vie cellulaire. D'un point de vue dynamique, cela pose la question fondamentale de savoir comment les biomolécules trouvent efficacement leur(s) cible(s) spécifique(s), ou encore, quels types de forces rassemblent tous ces partenaires de réaction spécifiques dans un environnement aussi dense et ionisé que les micro-environnements cellulaires. Dans cette thèse, nous explorons la possibilité que des biomolécules puissent interagir à travers des interactions électromagnétiques de longue-portée telles que ces dernières sont prédites à partir des premiers principes de la physique; ''longue-portée'' signifiant que les interactionsen question sont actives sur des distances bien plus larges que les dimensions typiques des molécules mises en jeu (i.e., plus grandes qu'environ 50 angströms dans les systèmes biologiques). Après avoir posé les fondements théoriques concernant les interactionsde longue-portée potentiellement actives sur de longue distances dans un contexte biologique, nous étudions la posssibilité de détecter leur éventuelle contribution à partir de dispositifs expérimentaux qui sont accessibles de nos jours. Sur ce dernier point, des résultats préliminaires encourageants tant sur le plan théorique qu'expérimental sont présentés
Self-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
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Johnson, S. R. "Theoretical studies of systems with long-ranged interactions." Thesis, University of Cambridge, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.605655.

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It is demonstrated that a perturbation theory for the Coulomb Gap can be developed, which is identical to the TAP approach to spin glasses. Thus chapter 2 presents the standard theoretical method used to study the Coulomb Gap, together with the analogous result in spin-glass theory. Chapter 3 begins the exposition of new work contained in the thesis. The example of the classical dipole fluid is used to demonstrate how classical spin systems with long-ranged interactions can be expanded as a series of Feynman diagrams. A similar method, taking account of the disorder in the Coulomb Gap problem, is used to derive the strong-disorder Coulomb Gap density of states as a leading set of Feynman diagrams. In the next chapter, it is shown that the assumption of single-parameter scaling enables the use of the Renormalization Group to derive such non-perturbative effects as the crossover to weak disorder, and edge effects within the Coulomb Gap fluid. In chapter 5, it is shown that the analogy with spin glasses enables the use of the replica trick to obtain an effective field theory for the Coulomb Gap, which resembles the Sine-Gordon model in statistical physics. This resemblance allows a systematic derivation of the RG scaling function to any accuracy and a study of the renormalizability of the effective field theory, leading in principle to a test of the single-parameter scaling hypothesis. The second part of the thesis considers the optical phonons in a disordered ionic crystal, and in chapter 6 it is shown that the use of projection operators together with the standard techniques of perturbation theory enables a derivation of the phonon density of states. The result is that the longitudinal and transverse optic phonon modes are broadened by disorder into semicircular bands, and is identical to the result for the disorder-broadened Landau levels in a metal. Inspired by this similarity, methods of perturbation theory and supersymmetry have been applied to deriving the transport properties of the phonons. As described in section 7.2, the lack of a small parameter makes this impossible for the disordered ionic crystal, but the simpler problem of a uniaxial ionic crystal would be suitable for the use of these techniques.
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Buyskikh, 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.

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Constantly increasing experimental possibilities with strongly correlated systems of ultracold atoms in optical lattices and trapped ions make them one of the most promising candidates for quantum simulation and quantum computation in the near future, and open new opportunities for study many-body physics. Out-of-equilibrium properties of such complex systems present truly fascinating and rich physics, which is yet to be fully understood. This thesis studies many-body dynamics of quantum systems with long-range interactions and addresses a few distinct issues. The first one is related to a growing interest in the use of ultracold atoms in optical lattices to simulate condensed matter systems, in particular to understand their magnetic properties. In our project on tilted optical lattices we map the dynamics of bosonic particles with resonantly enhanced long-range tunnelings onto a spin chain with peculiar interaction terms. We study the novel properties of this system in and out of equilibrium. The second main topic is the dynamical growth of entanglement and spread of correlations between system partitions in quench experiments. Our investigation is based on current experiments with trapped ions, where the range of interactions can be tuned dynamically from almost neighboring to all-to-all. We analyze the role of this interaction range in non-equilibrium dynamics. The third topic we address is a new method of quantum state estimation, certified Matrix Product State (MPS) tomography, which has potential applications in regimes unreachable by full quantum state tomography. The investigation of quantum many-body systems often goes beyond analytically solvable models; that is where numerical simulations become vital. The majority of results in this thesis were obtained via the Density Matrix Renormalization Group (DMRG) methods in the context of the MPS and Matrix Product Operator(MPO) formalism. Further developing and optimizing these methods made it possible to obtain eigenstates and thermal states as well as to calculate the time dependent dynamics in quenches for experimentally relevant regimes.
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Books on the topic "Long range interacting system"

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1967-, Dauxois T. (Thierry), Ruffo Stefano 1954-, and Cugliandolo, L. F. (Leticia F.), eds. Long-range interacting systems: École d'été des Houches, session XC, 4-29 August 2008, École thématique du CNRS. Oxford: Oxford University Press, 2010.

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Long-range interactions, stochasticity and fractional dynamics. Beijing: Higher Education Press, 2010.

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Dauxois, Thierry, Stefano Ruffo, Ennio Arimondo, and Martin Wilkens, eds. Dynamics and Thermodynamics of Systems with Long-Range Interactions. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45835-2.

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Dauxois, Thierry. Dynamics and Thermodynamics of Systems with Long-Range Interactions. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2002.

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1967-, Dauxois T., ed. Dynamics and thermodynamics of systems with long-range interactions. Berlin: Springer, 2002.

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Pedra, W. de Siqueira (Walter de Siqueira), 1975-, ed. Non-cooperative equilibria of Fermi systems with long range interactions. Providence, Rhode Island: American Mathematical Society, 2013.

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Han, Shaowei. Carrier phase-based long-range GPS kinematic positioning. Sydney, NSW, Australia: University of New South Wales, 1997.

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University of North Carolina (System). Board of Governors. Supplement to Long-range planning, 1994-99. [Chapel Hill, N.C.?]: The Board, 1996.

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Davidson, L. W. Long-range ice forecasting system (LRIFS) applied for the Beaufort Sea. [Ottawa: Environmental Studies Research Funds], 1993.

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Indiana Correction Advisory Committee. A long-range plan for Indiana's criminal justice system: Final report. [Indianapolis, Ind: Indiana Criminal Justice Institute, 1990.

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Book chapters on the topic "Long range interacting system"

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Léonard, Christian. "Some epidemic systems are long range interacting particle systems." In Stochastic Processes in Epidemic Theory, 170–83. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-662-10067-7_16.

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Gerisch, Thomas. "Equilibrium States of Long Range Interacting Quantum Lattice Systems." In Large-Scale Molecular Systems, 351–56. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4684-5940-1_22.

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Boers, Dave, and Martin Holthaus. "Canonical Statistics of Occupation Numbers for Ideal and Weakly Interacting Bose-Einstein Condensates." In Dynamics and Thermodynamics of Systems with Long-Range Interactions, 332–68. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45835-2_11.

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Sheintuch, Moshe, and Olga Nekhamkina. "Pattern Selection In A Diffusion-Reaction System With Global Or Long-Range Interaction." In Pattern Formation in Continuous and Coupled Systems, 265–82. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1558-5_20.

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Wang, Chi-Yuen, and Michael Manga. "Response to Tides, Barometric Pressure and Seismic Waves." In Lecture Notes in Earth System Sciences, 83–153. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-64308-9_5.

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AbstractGroundwater responses to Earth tides and barometric pressure have long been reported and increasingly used in hydrogeology to advance our understanding of groundwater systems. The response of groundwater to seismic waves has also been used in recent years to study the interaction between earthquakes and fluids in the crust. These methods have gained popularity for monitoring groundwater systems because they are both effective and economical. This chapter reviews the response of groundwater system to Earth tides, barometric pressure, and seismic waves as a continuum of poroelastic responses to oscillatory forcing across a broad range of frequency.
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De Masi, Anna. "Spin Systems with Long Range Interactions." In From Classical to Modern Probability, 25–81. Basel: Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8053-4_2.

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Tsukerman, Igor. "Long-Range Interactions in Heterogeneous Systems." In Nanostructure Science and Technology, 285–355. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43893-7_6.

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Laskin, Nick. "Exciton–Phonon Dynamics with Long-Range Interaction." In Dynamical Systems and Methods, 311–22. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0454-5_18.

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Tokihiro, T. "Quasiperiodic Systems with Long-Range Hierarchical Interactions." In Springer Series in Solid-State Sciences, 179–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84253-5_19.

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Zegarlinski, Bogusław. "Random Spin Systems with Long-Range Interactions." In Mathematical Aspects of Spin Glasses and Neural Networks, 289–320. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-4102-7_8.

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Conference papers on the topic "Long range interacting system"

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Baldovin, Fulvio, Enzo Orlandini, and Pierre-Henri Chavanis. "Long-range interacting systems and dynamical phase transitions." In NONEQUILIBRIUM STATISTICAL PHYSICS TODAY: Proceedings of the 11th Granada Seminar on Computational and Statistical Physics. AIP, 2011. http://dx.doi.org/10.1063/1.3569523.

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Campa, Alessandro, Alessandro Campa, Andrea Giansanti, Giovanna Morigi, and Francesco Sylos Labini. "The study of the equilibrium and of the dynamical properties of long-range interacting systems." In DYNAMICS AND THERMODYNAMICS OF SYSTEMS WITH LONG RANGE INTERACTIONS: Theory and Experiments. AIP, 2008. http://dx.doi.org/10.1063/1.2839132.

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Strzalka, Dominik, and Franciszek Grabowski. "Long-range dependencies in algorithmic computing." In 2008 Conference on Human System Interactions (HSI). IEEE, 2008. http://dx.doi.org/10.1109/hsi.2008.4581502.

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Finlayson, N., and K. W. DeLong. "Nonlinear dynamics of optical waveguide arrays." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.tubb7.

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We have studied the nonlinear dynamical properties of 2,3, and 5 element optical waveguide arrays in both short and long propagation range limits. At least in principle, these arrays have the potential for demonstrating chaotic behavior in an environment that can be well controlled, i.e., the number of interacting modes can be selected. As such the arrays represent possible testing grounds for the evolution of nonlinear dynamics from few oscillator motions to the continuum limit. The dynamics are characterized by spectra-power diagrams, Lyapunov curves, and Poincare maps. Nearest neighbor couplings between elements are assumed. In the short range limit these waveguide arrays yield sharp all-optical switching features and large differential gain. In the long propagation range limit, the arrays exhibit a rich variety of nonlinear dynamic features ranging from spatio–temporal solitons to chaos. In some conditions chaos can manifest itself at arbitrarily low power. Regular stochastic transitions are ubiquitous in the system.
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Mukamel, David, Alessandro Campa, Andrea Giansanti, Giovanna Morigi, and Francesco Sylos Labini. "Statistical Mechanics of systems with long range interactions." In DYNAMICS AND THERMODYNAMICS OF SYSTEMS WITH LONG RANGE INTERACTIONS: Theory and Experiments. AIP, 2008. http://dx.doi.org/10.1063/1.2839123.

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Giansanti, Andrea, Alessandro Campa, Andrea Giansanti, Giovanna Morigi, and Francesco Sylos Labini. "Thermodynamics of Small Systems." In DYNAMICS AND THERMODYNAMICS OF SYSTEMS WITH LONG RANGE INTERACTIONS: Theory and Experiments. AIP, 2008. http://dx.doi.org/10.1063/1.2839115.

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Drewsen, Michael, Anders Mortensen, Esben Nielsen, Thierry Matthey, Alessandro Campa, Andrea Giansanti, Giovanna Morigi, and Francesco Sylos Labini. "Strongly Correlated Ion Coulomb Systems." In DYNAMICS AND THERMODYNAMICS OF SYSTEMS WITH LONG RANGE INTERACTIONS: Theory and Experiments. AIP, 2008. http://dx.doi.org/10.1063/1.2839127.

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Morigi, Giovanna, Alessandro Campa, Andrea Giansanti, Giovanna Morigi, and Francesco Sylos Labini. "Long-range interactions in cold atomic systems: A foreword." In DYNAMICS AND THERMODYNAMICS OF SYSTEMS WITH LONG RANGE INTERACTIONS: Theory and Experiments. AIP, 2008. http://dx.doi.org/10.1063/1.2839126.

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Saslaw, William C., Alessandro Campa, Andrea Giansanti, Giovanna Morigi, and Francesco Sylos Labini. "Statistical Mechanics of Infinite Gravitating Systems." In DYNAMICS AND THERMODYNAMICS OF SYSTEMS WITH LONG RANGE INTERACTIONS: Theory and Experiments. AIP, 2008. http://dx.doi.org/10.1063/1.2839122.

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Labeyrie, G., G. L. Gattobigio, T. Pohl, R. Kaiser, Alessandro Campa, Andrea Giansanti, Giovanna Morigi, and Francesco Sylos Labini. "Long Range Interactions in Magneto-Optical Traps." In DYNAMICS AND THERMODYNAMICS OF SYSTEMS WITH LONG RANGE INTERACTIONS: Theory and Experiments. AIP, 2008. http://dx.doi.org/10.1063/1.2839128.

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Reports on the topic "Long range interacting system"

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Zhang, Duan Zhong. Stress from long-range interactions in particulate system. Office of Scientific and Technical Information (OSTI), April 2020. http://dx.doi.org/10.2172/1617335.

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Grumet, Rebecca, and Benjamin Raccah. Identification of Potyviral Domains Controlling Systemic Infection, Host Range and Aphid Transmission. United States Department of Agriculture, July 2000. http://dx.doi.org/10.32747/2000.7695842.bard.

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Potyviruses form one of the largest and most economically important groups of plant viruses. Individual potyviruses and their isolates vary in symptom expression, host range, and ability to overcome host resistance genes. Understanding factors influencing these biological characteristics is of agricultural importance for epidemiology and deployment of resistance strategies. Cucurbit crops are subject to severe losses by several potyviruses including the highly aggressive and variable zucchini yellow mosaic virus (ZYMV). In this project we sought to investigate protein domains in ZYMV that influence systemic infection and host range. Particular emphasis was on coat protein (CP), because of known functions in both cell to cell and long distance movement, and helper component-protease (HC-Pro), which has been implicated to play a role in symptom development and long distance movement. These two genes are also essential for aphid mediated transmission, and domains that influence disease development may also influence transmissibility. The objectives of the approved BARD project were to test roles of specific domains in the CP and HC-Pro by making sequence alterations or switches between different isolates and viruses, and testing for infectivity, host range, and aphid transmissibility. These objectives were largely achieved as described below. Finally, we also initiated new research to identify host factors interacting with potyviral proteins and demonstrated interaction between the ZYMV RNA dependent RNA polymerase and host poly-(A)-binding protein (Wang et al., in press). The focus of the CP studies (MSU) was to investigate the role of the highly variable amino terminus (NT) in host range determination and systemic infection. Hybrid ZYMV infectious clones were produced by substituting the CP-NT of ZYMV with either the CP-NT from watermelon mosaic virus (overlapping, but broader host range) or tobacco etch virus (TEV) (non- overlapping host range) (Grumet et al., 2000; Ullah ct al., in prep). Although both hybrid viruses initially established systemic infection, indicating that even the non-cucurbit adapted TEV CP-NT could facilitate long distance transport in cucurbits, after approximately 4-6, the plants inoculated with the TEV-CPNT hybrid exhibited a distinct recovery of reduced symptoms, virus titer, and virus specific protection against secondary infection. These results suggest that the plant recognizes the presence of the TEV CP-NT, which has not been adapted to infection of cucurbits, and initiates defense responses. The CP-NT also appears to play a role in naturally occurring resistance conferred by the zym locus in the cucumber line 'Dina-1'. Patterns of virus accumulation indicated that expression of resistance is developmentally controlled and is due to a block in virus movement. Switches between the core and NT domains of ZYMV-NAA (does not cause veinal chlorosis on 'Dina-1'), and ZYMV-Ct (causes veinal chlorosis), indicated that the resistance response likely involves interaction with the CP-NT (Ullah and Grumet, submitted). At the Volcani Center the main thrust was to identify domains in the HC-Pro that affect symptom expression or aphid transmissibility. From the data reported in the first and second year report and in the attached publications (Peng et al. 1998; Kadouri et al. 1998; Raccah et al. 2000: it was shown that: 1. The mutation from PTK to PAK resulted in milder symptoms of the virus on squash, 2. Two mutations, PAK and ATK, resulted in total loss of helper activity, 3. It was established for the first time that the PTK domain is involved in binding of the HC-Pro to the potyvirus particle, and 4. Some of these experiments required greater amount of HC-Pro, therefore a simpler and more efficient purification method was developed based on Ni2+ resin.
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Vuono, Carl E. Army Programs: Army Long-Range Planning System. Fort Belvoir, VA: Defense Technical Information Center, January 1989. http://dx.doi.org/10.21236/ada401979.

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Hagen Schempf and Daphne D'Zurko. Long-Range Untethered Real-Time Live Gas Main Robotic Inspection System. Office of Scientific and Technical Information (OSTI), October 2004. http://dx.doi.org/10.2172/892746.

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Salem, L. B., and Z. Zlotnick. Acoustic Sounding System for Long Range Propagation in Middle East Surroundings. Fort Belvoir, VA: Defense Technical Information Center, April 1995. http://dx.doi.org/10.21236/ada294738.

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Belak, James F., E. L. Pollock, J. Carpenter, S. Lustig, and T. Stouch. Massively Parallel Simulation of Large Molecular Systems with Long-Range Interactions Final Report CRADA No. TC-0297-92-B. Office of Scientific and Technical Information (OSTI), March 2018. http://dx.doi.org/10.2172/1430916.

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George C. Vradis and Hagen Schempf. DESIGN, CONSTRUCTION AND FIELD DEMONSTRATION OF EXPLORER: A LONG-RANGE UNTETHERED LIVE GASOLINE INSPECTION ROBOT SYSTEM. Office of Scientific and Technical Information (OSTI), October 2004. http://dx.doi.org/10.2172/835526.

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Vradis, George C., and Hagen Schempf. DESIGN, CONSTRUCTION AND FIELD DEMONSTRATION OF EXPLORER: A LONG-RANGE UNTETHERED LIVE GASLINE INSPECTION ROBOT SYSTEM. Office of Scientific and Technical Information (OSTI), May 2002. http://dx.doi.org/10.2172/801215.

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George C. Vradis, Hagen Schempf. DESIGN, CONSTRUCTION AND FIELD DEMONSTRATION OF EXPLORER: A LONG-RANGE UNTETHERED LIVE GASLINE INSPECTION ROBOT SYSTEM. Office of Scientific and Technical Information (OSTI), April 2004. http://dx.doi.org/10.2172/825236.

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Dr. George C. Vradis and Dr. Hagen Schempf. DESIGN, CONSTRUCTION AND FIELD DEMONSTRATION OF EXPLORER: A LONG-RANGE UNTETHERED LIVE GASLINE INSPECTION ROBOT SYSTEM. Office of Scientific and Technical Information (OSTI), October 2002. http://dx.doi.org/10.2172/815463.

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