Entropy And Non Equilibrium Statistical Mechanics
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Entropy And Non Equilibrium Statistical Mechanics
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Author : Antonio M. Scarfone
language : en
Publisher: MDPI
Release Date : 2020-12-15
Entropy And Non Equilibrium Statistical Mechanics written by Antonio M. Scarfone and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-15 with Technology & Engineering categories.
Nonequilibrium statistical mechanics has a long history featuring diverse aspects. It has been a major research field in physics and will remain so in the future. Even regarding the concept of entropy, there exists a longstanding problem concerning its definition for a system in a state far from equilibrium. In this Special Issue, we offered the possibility to discuss and present up-to-date problems that were not necessarily restricted to statistical mechanics. Theoretical and experimental papers are both presented, in addition to unifying research works. As the entropy itself is the central element of nonequilibrium processes, papers discuss various formulations of the second law and its consequences. In this Special Issue, recent progress in kinetic approaches to hydrodynamics, rational extended thermodynamics, entropy in a strongly nonequilibrium stationary state, and related topics are reported as both review articles as well as original research works.
Entropy And Non Equilibrium Statistical Mechanics
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Author : Antonio M. Scarfone
language : en
Publisher:
Release Date : 2020
Entropy And Non Equilibrium Statistical Mechanics written by Antonio M. Scarfone and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Nonequilibrium statistical mechanics has a long history featuring diverse aspects. It has been a major research field in physics and will remain so in the future. Even regarding the concept of entropy, there exists a longstanding problem concerning its definition for a system in a state far from equilibrium. In this Special Issue, we offered the possibility to discuss and present up-to-date problems that were not necessarily restricted to statistical mechanics. Theoretical and experimental papers are both presented, in addition to unifying research works. As the entropy itself is the central element of nonequilibrium processes, papers discuss various formulations of the second law and its consequences. In this Special Issue, recent progress in kinetic approaches to hydrodynamics, rational extended thermodynamics, entropy in a strongly nonequilibrium stationary state, and related topics are reported as both review articles as well as original research works.
Nonequilibrium Statistical Thermodynamics
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Author : D. Zubarev
language : en
Publisher: Springer
Release Date : 1974
Nonequilibrium Statistical Thermodynamics written by D. Zubarev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Science categories.
Equilibrium And Non Equilibrium Statistical Mechanics
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Author : Carolyn M. Van Vliet
language : en
Publisher: World Scientific
Release Date : 2008
Equilibrium And Non Equilibrium Statistical Mechanics written by Carolyn M. Van Vliet and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
This book encompasses our current understanding of the ensemble approach to many-body physics, phase transitions and other thermal phenomena, as well as the quantum foundations of linear response theory, kinetic equations and stochastic processes. It is destined to be a standard text for graduate students, but it will also serve the specialist-researcher in this fascinating field; some more elementary topics have been included in order to make the book self-contained.The historical methods of J Willard Gibbs and Ludwig Boltzmann, applied to the quantum description rather than phase space, are featured. The tools for computations in the microcanonical, canonical and grand-canonical ensembles are carefully developed and then applied to a variety of classical and standard quantum situations. After the language of second quantization has been introduced, strongly interacting systems, such as quantum liquids, superfluids and superconductivity, are treated in detail. For the connoisseur, there is a section on diagrammatic methods and applications.In the second part dealing with non-equilibrium processes, the emphasis is on the quantum foundations of Markovian behaviour and irreversibility via the Pauli-Van Hove master equation. Justifiable linear response expressions and the quantum-Boltzmann approach are discussed and applied to various condensed matter problems. From this basis the Onsager-Casimir relations are derived, together with the mesoscopic master equation, the Langevin equation and the Fokker-Planck truncation procedure. Brownian motion and modern stochastic problems such as fluctuations in optical signals and radiation fields briefly make the round.
Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems
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Author : Werner Ebeling
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-09-23
Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems written by Werner Ebeling and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-23 with Science categories.
This book presents both the fundamentals and the major research topics in statistical physics of systems out of equilibrium. It summarizes different approaches to describe such systems on the thermodynamic and stochastic levels, and discusses a variety of areas including reactions, anomalous kinetics, and the behavior of self-propelling particles.
Equilibrium And Non Equilibrium Statistical Thermodynamics
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Author : Michel Le Bellac
language : en
Publisher: Cambridge University Press
Release Date : 2004-04-08
Equilibrium And Non Equilibrium Statistical Thermodynamics written by Michel Le Bellac and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-08 with Science categories.
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Equilibrium And Nonequilibrium Statistical Mechanics Principles And Concepts
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Author : Avijit Lahiri
language : en
Publisher: Avijit Lahiri
Release Date : 2023-10-14
Equilibrium And Nonequilibrium Statistical Mechanics Principles And Concepts written by Avijit Lahiri and has been published by Avijit Lahiri this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-14 with Science categories.
Equilibrium and Non-equilibrium Statistical Mechanics is a source-book of great value to college and university students embarking upon a serious reading of Statistical Mechanics, and is likely to be of interest to teachers of the subject as well. Written in a lucid style, the book builds up the subject from basics, and goes on to quite advanced and modern developments, giving an overview of the entire framework of statistical mechanics. The equilibrium ensembles of quantum and classical statistical mechanics are introduced at length, indicating their relation to equilibrium states of thermodynamic systems, and the applications of these ensembles in the case of the ideal gas are worked out, pointing out the relevance of the ideal gas in respect of a number of real-life systems. The application to interacting systems is then taken up by way of explaining the virial expansion of a dilute gas. The book then deals with a number of foundational questions relating to the existence of the thermodynamic limit and to the equivalence of the various equilibrium ensembles. The relevance of the thermodynamic limit in explaining phase transitions is indicated with reference to the Yang-Lee theory and the Kirkwood-Salsburg equations for correlation functions. The statistical mechanics of interacting systems is then taken up again, with reference to the 1D and 2D Ising model and to the spin glass model of disordered systems. Applications of the Mean field theory are worked out, explaining the Landau-Ginzburg theory, which is then followed by the renormalization group approach to phase transitions. Interacting systems in the quantum context are referred to, addressing separately the cases of interacting bosons and fermions. The case of the weakly interacting bosons is explained in details, while the Landau theory for fermi liquids is also explained in outline. The book then goes on to a modern but readable account of non-equilibrium statistical mechanics, explaining the link with irreversible thermodynamcs. After an exposition of the Boltzmann equations and the linear response theory illustrated with reference to the hydrodynamic model, it explains the statistical mechanics of reduced systems, in the context of a number of reduction schemes. This is followed by an account of the relevance of dynamical chaos in laying down the foundations of classical statistical mechanics, where the SRB distributon is introduced in the context of non-equilibrium steady states, with reference to which the principle of minimum entropy production is explaned. A number of basic fluctuation relations are then worked out, pointing out their relation to irreversible thermodynamics. Finally, the book explains the relevance of quantum chaos in addressing foundational issues in quantum statistical mechanics, beginning with Berry’s conjecture and then going on to an exposition of the eigenstate thermalization (ETH) hypothesis, indicating how the latter is relevant in explaining the processes of equilibriation and thermalization in thermodynamic systems and their sub-systems.
Non Equilibrium Statistical Mechanics
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Author : James H. Luscombe
language : en
Publisher: CRC Press
Release Date : 2024-09-23
Non Equilibrium Statistical Mechanics written by James H. Luscombe and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-23 with Science categories.
Statistical mechanics provides a framework for relating the properties of macroscopic systems (large collections of atoms, such as in a solid) to the microscopic properties of its parts. However, what happens when macroscopic systems are not in thermal equilibrium, where time is not only a relevant variable, but also essential? That is the province of nonequilibrium statistical mechanics – there are many ways for systems to be out of equilibrium! The subject is governed by fewer general principles than equilibrium statistical mechanics and consists of a number of different approaches for describing nonequilibrium systems. Financial markets are analyzed using methods of nonequilibrium statistical physics, such as the Fokker-Planck equation. Any system of sufficient complexity can be analyzed using the methods of nonequilibrium statistical mechanics. The Boltzmann equation is used frequently in the analysis of systems out of thermal equilibrium, from electron transport in semiconductors to modeling the early Universe following the Big Bang. This book provides an accessible yet very thorough introduction to nonequilibrium statistical mechanics, building on the author's years of teaching experience. Covering a broad range of advanced, extension topics, it can be used to support advanced courses on statistical mechanics, or as a supplementary text for core courses in this field. Key Features: Features a clear, accessible writing style which enables the author to take a sophisticated approach to the subject, but in a way that is suitable for advanced undergraduate students and above Presents foundations of probability theory and stochastic processes and treats principles and basic methods of kinetic theory and time correlation functions Accompanied by separate volumes on thermodynamics and equilibrium statistical mechanics, which can be used in conjunction with this book
Nonequilibrium Statistical Thermodynamics
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Author : Bernard H. Lavenda
language : en
Publisher: Courier Dover Publications
Release Date : 2019-04-17
Nonequilibrium Statistical Thermodynamics written by Bernard H. Lavenda and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-17 with Science categories.
This book develops in detail the statistical foundations of nonequilibrium thermodynamics, based on the mathematical theory of Brownian motion. Author Bernard H. Lavenda demonstrates that thermodynamic criteria emerge in the limit of small thermal fluctuations and in the Gaussian limit where means and modes of the distribution coincide. His treatment assumes the theory of Brownian motion to be a general and practical model of irreversible processes that are inevitably influenced by random thermal fluctuations. This unifying approach permits the extraction of widely applicable principles from the analysis of specific models. Arranged by argument rather than theory, the text is based on the premises that random thermal fluctuations play a decisive role in governing the evolution of nonequilibrium thermodynamic processes and that they can be viewed as a dynamic superposition of many random events. Intended for nonmathematicians working in the areas of nonequilibrium thermodynamics and statistical mechanics, this book will also be of interest to chemical physicists, condensed matter physicists, and readers in the area of nonlinear optics.
Entropy Beyond Second Law Second Editihb
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Author : ATTARD
language : en
Publisher: IOP ebooks
Release Date : 2023-05-25
Entropy Beyond Second Law Second Editihb written by ATTARD and has been published by IOP ebooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-25 with categories.
Entropy is fundamental to the physical universe, and its applications beyond the Second Law of Thermodynamics to classical time-dependent systems and to quantum condensed matter lie at the frontiers of science.