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Relevant bibliographies by topics / Nonequilibrium statistical mechanics

Academic literature on the topic 'Nonequilibrium statistical mechanics'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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Journal articles on the topic "Nonequilibrium statistical mechanics"

1

Nicolas, J. "Nonequilibrium Statistical Mechanics." Few-Body Systems 31, no. 2-4 (May 1, 2002): 205–10. http://dx.doi.org/10.1007/s006010200022.

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Mabillard, Joël, and Pierre Gaspard. "Nonequilibrium statistical mechanics of crystals." Journal of Statistical Mechanics: Theory and Experiment 2021, no. 6 (June 1, 2021): 063207. http://dx.doi.org/10.1088/1742-5468/ac02c9.

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Kita, Takafumi. "Entropy in Nonequilibrium Statistical Mechanics." Journal of the Physical Society of Japan 75, no. 11 (November 15, 2006): 114005. http://dx.doi.org/10.1143/jpsj.75.114005.

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Oppenheim, Irwin. "Book Review: Nonequilibrium Statistical Mechanics." Journal of Statistical Physics 127, no. 4 (March 23, 2007): 851–52. http://dx.doi.org/10.1007/s10955-007-9314-0.

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Vojta, G. "Statistical Mechanics of Nonequilibrium Processes." Zeitschrift für Physikalische Chemie 206, Part_1_2 (January 1998): 273–74. http://dx.doi.org/10.1524/zpch.1998.206.part_1_2.273.

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GASPARD, PIERRE. "DYNAMICAL CHAOS AND NONEQUILIBRIUM STATISTICAL MECHANICS." International Journal of Modern Physics B 15, no. 03 (January 30, 2001): 209–35. http://dx.doi.org/10.1142/s021797920100437x.

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Chaos in the motion of atoms and molecules composing fluids is a new topic in nonequilibrium physics. Relationships have been established between the characteristic quantities of chaos and the transport coefficients thanks to the concept of fractal repeller and the escape-rate formalism. Moreover, the hydrodynamic modes of relaxation to the thermodynamic equilibrium as well as the nonequilibrium stationary states have turned out to be described by fractal-like singular distributions. This singular character explains the second law of thermodynamics as an emergent property of large chaotic systems. These and other results show the growing importance of ephemeral phenomena in modern physics.

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Bringuier, Eric. "Nonequilibrium statistical mechanics of drifting particles." Physical Review E 61, no. 6 (June 1, 2000): 6351–58. http://dx.doi.org/10.1103/physreve.61.6351.

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Rogers, David M. "Unifying theories for nonequilibrium statistical mechanics." Journal of Statistical Mechanics: Theory and Experiment 2019, no. 8 (August 19, 2019): 084010. http://dx.doi.org/10.1088/1742-5468/ab3193.

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Taniguchi, Tooru. "Thermodynamical properties in nonequilibrium statistical mechanics." Physica A: Statistical Mechanics and its Applications 236, no. 3-4 (March 1997): 448–84. http://dx.doi.org/10.1016/s0378-4371(96)00361-5.

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Bishop, Robert C. "Nonequilibrium statistical mechanics Brussels–Austin style." Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35, no. 1 (March 2004): 1–30. http://dx.doi.org/10.1016/j.shpsb.2001.11.001.

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Dissertations / Theses on the topic "Nonequilibrium statistical mechanics"

1

Baras, Florence. "Topics in nonequilibrium statistical mechanics of reactive systems." Doctoral thesis, Universite Libre de Bruxelles, 2000. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/211748.

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Polettini, Matteo <1982&gt. "Geometric and Combinatorial Aspects of NonEquilibrium Statistical Mechanics." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2012. http://amsdottorato.unibo.it/4305/1/polettini_matteo_tesi.pdf.

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Non-Equilibrium Statistical Mechanics is a broad subject. Grossly speaking, it deals with systems which have not yet relaxed to an equilibrium state, or else with systems which are in a steady non-equilibrium state, or with more general situations. They are characterized by external forcing and internal fluxes, resulting in a net production of entropy which quantifies dissipation and the extent by which, by the Second Law of Thermodynamics, time-reversal invariance is broken. In this thesis we discuss some of the mathematical structures involved with generic discrete-state-space non-equilibrium systems, that we depict with networks in all analogous to electrical networks. We define suitable observables and derive their linear regime relationships, we discuss a duality between external and internal observables that reverses the role of the system and of the environment, we show that network observables serve as constraints for a derivation of the minimum entropy production principle. We dwell on deep combinatorial aspects regarding linear response determinants, which are related to spanning tree polynomials in graph theory, and we give a geometrical interpretation of observables in terms of Wilson loops of a connection and gauge degrees of freedom. We specialize the formalism to continuous-time Markov chains, we give a physical interpretation for observables in terms of locally detailed balanced rates, we prove many variants of the fluctuation theorem, and show that a well-known expression for the entropy production due to Schnakenberg descends from considerations of gauge invariance, where the gauge symmetry is related to the freedom in the choice of a prior probability distribution. As an additional topic of geometrical flavor related to continuous-time Markov chains, we discuss the Fisher-Rao geometry of nonequilibrium decay modes, showing that the Fisher matrix contains information about many aspects of non-equilibrium behavior, including non-equilibrium phase transitions and superposition of modes. We establish a sort of statistical equivalence principle and discuss the behavior of the Fisher matrix under time-reversal. To conclude, we propose that geometry and combinatorics might greatly increase our understanding of nonequilibrium phenomena.

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Polettini, Matteo <1982&gt. "Geometric and Combinatorial Aspects of NonEquilibrium Statistical Mechanics." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2012. http://amsdottorato.unibo.it/4305/.

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Non-Equilibrium Statistical Mechanics is a broad subject. Grossly speaking, it deals with systems which have not yet relaxed to an equilibrium state, or else with systems which are in a steady non-equilibrium state, or with more general situations. They are characterized by external forcing and internal fluxes, resulting in a net production of entropy which quantifies dissipation and the extent by which, by the Second Law of Thermodynamics, time-reversal invariance is broken. In this thesis we discuss some of the mathematical structures involved with generic discrete-state-space non-equilibrium systems, that we depict with networks in all analogous to electrical networks. We define suitable observables and derive their linear regime relationships, we discuss a duality between external and internal observables that reverses the role of the system and of the environment, we show that network observables serve as constraints for a derivation of the minimum entropy production principle. We dwell on deep combinatorial aspects regarding linear response determinants, which are related to spanning tree polynomials in graph theory, and we give a geometrical interpretation of observables in terms of Wilson loops of a connection and gauge degrees of freedom. We specialize the formalism to continuous-time Markov chains, we give a physical interpretation for observables in terms of locally detailed balanced rates, we prove many variants of the fluctuation theorem, and show that a well-known expression for the entropy production due to Schnakenberg descends from considerations of gauge invariance, where the gauge symmetry is related to the freedom in the choice of a prior probability distribution. As an additional topic of geometrical flavor related to continuous-time Markov chains, we discuss the Fisher-Rao geometry of nonequilibrium decay modes, showing that the Fisher matrix contains information about many aspects of non-equilibrium behavior, including non-equilibrium phase transitions and superposition of modes. We establish a sort of statistical equivalence principle and discuss the behavior of the Fisher matrix under time-reversal. To conclude, we propose that geometry and combinatorics might greatly increase our understanding of nonequilibrium phenomena.

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Dymov, Andrey. "Nonequilibrium statistical mechanics of a crystal interacting with medium." Thesis, Cergy-Pontoise, 2015. http://www.theses.fr/2015CERG0771/document.

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Dans cette thèse nous étudions des systèmes hamiltoniens de particules en interaction, où chaque particule est faiblement couplée avec son propre thermostat de type Langevin de température positive arbitraire. Les modèles peuvent être vu comme des cristaux plongés dans un milieu continue et interagissants faiblement avec ce dernier.Nous nous intéressons au transport d'énergie dans les systèmes quand les couplages des particules avec leurs thermostats tendent vers zéro simultanément avec les couplages entre eux.Nous examinons deux situations opposées, quand la mesure de Lebesgue des resonances du système de particules découplées est nulle et quand elle est pleine. Dans le premier cas, en utilisant la méthode de moyennisation stochastique, nous démontrons que dans la limite ci-dessus le comportement de l'énergie locale des particules sur des intervalles de temps longs, et dans le régime stationnaire est donné par une équation autonome stochastique, laquelle predit uniquement le transport d'énergie non hamiltonien.Dans le second cas, en utilisant la méthode de moyennisation resonante stochastique, nous prouvons que la dynamique limite de l'énergie locale est contrôlée par une équation efficace stochastique. La dernière prevoit le transport d'energie hamiltonien entre les particules. Cependant, elle n'est pas autonome pour l'énergie locale. En utilisant cette asymptotique, nous montrons que dans la limite ci-dessus le flux d'énergie hamiltonien du système satisfait des relations qui ressemblent à la loi de Fourier et à la formule de Green-Kubo (cependant, elles ne le sont pas).La plupart des résultats et convergences que nous obtenons dans la thèse sont uniformes par rapport au nombre de particules dans les systèmes, qui rend nos résultats pertinents du point de vue de la physique statistique
In the present thesis we study Hamiltonian systems of particles with weak nearest-neighbour interaction, where each particle is weakly coupled with its own stochastic Langevin-type thermostat of arbitrary positive temperature.The models can be seen as crystals plugged in some medium and weakly interacting with it.We are interested in the energy transport through the systems when the couplings of the particles with the thermostats go to zero simultaneously with their couplings with each other.We investigate two opposite situations, when resonances of the system of uncoupled particles have Lebesgue measure zero and when they are of full Lebesgue measure.In the first case, using the method of stochastic averaging, we prove that under the limit above behaviour of the local energy of particles on long time intervals and in a stationary regime is given by an autonomous stochastic equation, which does not provide any Hamiltonian energy transport.For the second situation, using the method of resonant stochastic averaging, we show that the limiting dynamics of the local energy is governed by a stochastic effective equation. The latter provides Hamiltonian energy transport between the particles, however, is not an autonomous equation for the local energy. Using this asymptotics, we prove that under the limit above the Hamiltonian energy flow in the system satisfies some relations which resemble the Fourier law and the Green-Kubo formula (however, which are not).Most of results and convergences obtained in the thesis are uniform with respect to the number of particles in the systems, what makes our results relevant from the point of view of statistical physics

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Abu-Samreh, Mohammad Mahmud. "Thermalization theory in heavy ion collisions by nonequilibrium statistical mechanics." Diss., The University of Arizona, 1991. http://hdl.handle.net/10150/185391.

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This dissertation presents a semiclassical microscopic approach based on the Uehling-Uhlenbeck equation for studying the equilibration processes due to nucleon-nucleon collisions during the collision of two heavy ions in the low and intermediate energy domain (5-100 MeV/nucleon). The state formed in the early stages of a heavy-ion collision can be characterized by a highly excited non-equilibrium system of nucleons. Equilibration processes then take place resulting in a system for which a temperature can be defined at least locally. The single-nucleon distribution function for the nucleons during the early stage of the ion-ion collision is represented in momentum-space either by two Fermi-spheres separated by the relative momentum of the impacting ions or by a deformed Fermi-sphere. The equilibration (thermalization) of this initial distribution in momentum-space is studied by calculating the collision term as a function of time. The relaxation-times are investigated through a microscopic model that incorporates the UU collision term with the relaxation-time approximation. Relaxation-times for the equilibration are obtained as a function of density and temperature. The temperature dependence is strong at low temperatures and this is a consequence of the Fermi statistics. The mode dependence of the relaxation-times is also calculated by expanding the angular dependence of the distribution in spherical harmonics. The RTA is also tested against thermalization of the Fermi-sphere systems and is found to be reasonable. Transport coefficients for viscosity, thermal conductivity and diffusion are also calculated as well as their temperature and density dependencies. Their relation to relaxation-times are derived. The mean free path of nucleons in hot nuclear matter is also studied in the same frame of work. The numerical calculations of the collision term are an important part of this investigation. They involve five-dimensional integrations carried out using Gaussian and Simpson's numerical methods.

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Carberry, David Michael. "Optical tweezers : experimental demonstrations of the fluctuation theorem /." View thesis entry in Australian Digital Theses Program, 2005. http://thesis.anu.edu.au/public/adt-ANU20060410.122727/index.html.

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Angel, Andrew George. "Nonequilibrium statistical mechanics of the zero-range process and application to networks." Thesis, University of Edinburgh, 2005. http://hdl.handle.net/1842/11870.

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In this thesis a simple, stochastic, interacting particle system – the zero-range process (ZRP) – is studied with various analytical and numerical methods. in particular, the application of the ZRP and some of its generalisations to complex networks is focused upon. The ZRP is a hopping particle model where particles hop between sites of a lattice under certain rules that depend only on the properties of the site from which the particles hop – hence the name zero-range. Through its simplicity the steady state of the ZRP can be solved, even for nonequilibrium dynamics, and yet despite its simplicity it can exhibit interesting phenomena such as condensation transitions, where a finite fraction of the total particles in the system will condense onto a single site of the lattice. Firstly, interesting finite-size effects surrounding the condensation transition in a one-dimensional, driven version of the ZRP are studied. These take the form of discrepancies in the current-density diagram between finite and infinite systems, with the finite behaviour resembling that seen in real traffic data. Following this, direct applications of the ZRP to complex networks, and interesting phenomena arising from the specifics of the applications, are studied. The ZRP is applied as a model of networks and is found capable of reproducing power-law degree distributions, as observed in many real networks, at the critical point of the condensation transition. The degree is the number of connections a component of the network has. This model is then generalised to include creation and annihilation of particles or links, and this is found to exhibit critical behaviour – namely power-law particle and degree distributions – in a region of the parameter space, rather than at a critical point. The full phase diagram of this system is investigated, revealing low density and high density phases as well as subdivisions of the critical phase.

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Ha, Meesoon. "Scaling and phase transitions in one-dimensional nonequilibrium driven systems /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/9758.

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He, Dahai. "Thermal rectification in one-dimensional nonlinear systems." HKBU Institutional Repository, 2008. http://repository.hkbu.edu.hk/etd_ra/865.

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Chin, Chen-Shan. "Stochastic fluctuations far from equilibrium : statistical mechanics of surface growth /." Thesis, Connect to this title online; UW restricted, 2002. http://hdl.handle.net/1773/9759.

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Books on the topic "Nonequilibrium statistical mechanics"

1

Eu, Byung Chan. Nonequilibrium Statistical Mechanics. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2438-8.

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Kubo, R.,Toda, M., Hashitsume, N. Statistical Physics II: Nonequilibrium Statistical Mechanics. Berlin: Springer-Verlag, 1985.

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Kubo, Ryogo. Statistical Physics II: Nonequilibrium Statistical Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985.

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Zubarev, Dmitrii Nikolaevich. Statistical mechanics of nonequilibrium processes. Berlin: Akademie Verlag, 1996.

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Balakrishnan, V. Elements of Nonequilibrium Statistical Mechanics. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-62233-6.

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Balescu, Radu. Equilibrium and nonequilibrium statistical mechanics. Malabar, Fla: Krieger Pub. Co., 1991.

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Evans, Denis J. Statistical mechanics of nonequilibrium liquids. 2nd ed. Canberra: ANU E Press, 2007.

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Zubarev, D. N. Statistical mechanics of nonequilibrium processes. Berlin: Akademie Verlag, 1996.

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Introduction to nonequilibrium statistical mechanics. Englewood Cliffs, N.J: Prentice Hall, 1989.

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Evans, Denis J. Statistical mechanics of nonequilibrium liquids. London: Academic Press, 1990.

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Book chapters on the topic "Nonequilibrium statistical mechanics"

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Cáceres, Manuel Osvaldo. "Nonequilibrium Statistical Mechanics." In Non-equilibrium Statistical Physics with Application to Disordered Systems, 387–428. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51553-3_8.

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Gallavotti, Giovanni. "Coarse Graining and Nonequilibrium." In Statistical Mechanics, 253–312. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03952-6_9.

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Eu, Byung Chan. "Classical Nonequilibrium Ensemble Method." In Nonequilibrium Statistical Mechanics, 123–209. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2438-8_7.

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Eu, Byung Chan. "Quantum Nonequilibrium Ensemble Method." In Nonequilibrium Statistical Mechanics, 264–316. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2438-8_9.

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Eu, Byung Chan. "Introduction." In Nonequilibrium Statistical Mechanics, 1–11. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2438-8_1.

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Eu, Byung Chan. "Nonequilibrium Ensemble Method for Dense Fluids." In Nonequilibrium Statistical Mechanics, 317–58. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2438-8_10.

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Eu, Byung Chan. "Thermodynamics of Irreversible Processes." In Nonequilibrium Statistical Mechanics, 12–54. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2438-8_2.

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Eu, Byung Chan. "Boltzmann Equation." In Nonequilibrium Statistical Mechanics, 55–64. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2438-8_3.

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Eu, Byung Chan. "Equilibrium Solution and Local Variables." In Nonequilibrium Statistical Mechanics, 65–86. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2438-8_4.

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Eu, Byung Chan. "Mathematical Preparation." In Nonequilibrium Statistical Mechanics, 87–95. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-017-2438-8_5.

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Conference papers on the topic "Nonequilibrium statistical mechanics"

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Hernández, E. S. "Nonequilibrium Statistical Mechanics." In Satellite Meeting to STATPHYS 17 and Fourth MEDYFINOL Conference. WORLD SCIENTIFIC, 1990. http://dx.doi.org/10.1142/9789814540841.

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GASPARD, PIERRE. "DYNAMICAL CHAOS AND NONEQUILIBRIUM STATISTICAL MECHANICS." In Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811264_0018.

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Lamberti, Pedro W., Ana P. Majtey, Marcos Madrid, and María E. Pereyra. "Jensen-Shannon Divergence: A Multipurpose Distance for Statistical and Quantum Mechanics." In NONEQUILIBRIUM STATISTICAL MECHANICS AND NONLINEAR PHYSICS: XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics. AIP, 2007. http://dx.doi.org/10.1063/1.2746720.

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Delgado-Buscalioni, Rafael. "Dynamics of a Single Tethered Polymer under Shear Flow." In NONEQUILIBRIUM STATISTICAL MECHANICS AND NONLINEAR PHYSICS: XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics. AIP, 2007. http://dx.doi.org/10.1063/1.2746734.

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Rosen, Marta, and Mariano Vazquez. "Secondary Waves in Ribbing Instability." In NONEQUILIBRIUM STATISTICAL MECHANICS AND NONLINEAR PHYSICS: XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics. AIP, 2007. http://dx.doi.org/10.1063/1.2746717.

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Arizmendi, C. M. "Paradoxical Way for Losers in a Dating Game." In NONEQUILIBRIUM STATISTICAL MECHANICS AND NONLINEAR PHYSICS: XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics. AIP, 2007. http://dx.doi.org/10.1063/1.2746718.

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Plastino, A., A. R. Plastino, and B. H. Soffer. "Rescuing MaxEnt." In NONEQUILIBRIUM STATISTICAL MECHANICS AND NONLINEAR PHYSICS: XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics. AIP, 2007. http://dx.doi.org/10.1063/1.2746715.

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Laroze, D., and J. Martínez-Mardones. "Convection in a Viscoelastic Magnetic Fluid." In NONEQUILIBRIUM STATISTICAL MECHANICS AND NONLINEAR PHYSICS: XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics. AIP, 2007. http://dx.doi.org/10.1063/1.2746716.

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Vainstein, Mendeli H., Ana T. C. Silva, and Jeferson J. Arenzon. "Cooperation in Diffusive Spatial Games." In NONEQUILIBRIUM STATISTICAL MECHANICS AND NONLINEAR PHYSICS: XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics. AIP, 2007. http://dx.doi.org/10.1063/1.2746719.

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Sarris, C. M., M. P. Sassano, and A. N. Proto. "A General Approach to Describe Nonlinear Semiquantum Motion." In NONEQUILIBRIUM STATISTICAL MECHANICS AND NONLINEAR PHYSICS: XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics. AIP, 2007. http://dx.doi.org/10.1063/1.2746721.

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Reports on the topic "Nonequilibrium statistical mechanics"

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Alexander, Francis J. Nonequilibrium Statistical Mechanics: potential applications in biology. Office of Scientific and Technical Information (OSTI), March 2014. http://dx.doi.org/10.2172/1122887.

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Reichhardt, Cynthia Jane. DRACO and Nonequilibrium Statistical Mechanics of Aging. Office of Scientific and Technical Information (OSTI), December 2019. http://dx.doi.org/10.2172/1579691.

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