Statistical Physics And Thermodynamics Of Nonlinear Nonequilibrium Systems

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Statistical Physics and Thermodynamics of Nonlinear Nonequilibrium Systems

Author : W Ebeling,W Muschik
Publisher : World Scientific
Page : 268 pages
File Size : 53,5 Mb
Release : 1993-03-27
Category : Science
ISBN : 9789814590860

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Statistical Physics and Thermodynamics of Nonlinear Nonequilibrium Systems by W Ebeling,W Muschik Pdf

In these proceedings, it is shown that thermodynamical concepts are not ‘old fashioned’ but still are most useful at the frontiers of modern science. Among the contributors are well-known experts such as Andresen (Copenhagen), Eu (Montreal), Groβmann (Marburg), Kawasaki (Fuhuoha), Maugin (Paris), Nicolis (Bruxelles) and Szépfalusy (Budapest). The subject covers a wide field including: recent developments in phenomenological thermodynamics, statistical foundation of thermodynamical concepts, thermodynamical concepts in nonlinear dynamics, applications to nonlinear (neural) networks, stochastic theory and transition processes. Contents: Random Stresses in Potts Models of Disordered Plastic Crystals (A Güntzel et al.)Sensitivity to Initial Conditions in Complex Systems (G Nicolis et al.)Nonlinear Dynamics in Low-Dimensional Lattices: A Chemical Reaction Model (A Provata & J W Turner)Resonant Pair Nucleation in an Overdamped Sine-Gordon Chain (F Marchesoni)Finite-Time Optimization of Chemical Reactions and Connections to Thermodynamic Speed (J Ch Schön & B Andresen)A Variation Principle for Differential Transport Coefficients (M Ichiyanagi)Higher-Order Fluxes and Effective Relaxation Times in Extended Thermodynamics (D Jou)Projection Operators in Statistical Formulation of Nonlinear and Extended Thermodynamics (R E Nettleton)Thermodynamics of Light and Sound (I Müller)Entropy, Predictability and Historicity of Nonlinear Proceses (W Ebeling)Symmetry and Coherent Approximations in Non-Equilibrium Systems (M Suzuki)and other papers Readership: Statistical and thermodynamical working physicists.

Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems

Author : Werner Ebeling,Igor M. Sokolov
Publisher : World Scientific
Page : 344 pages
File Size : 48,8 Mb
Release : 2005
Category : Science
ISBN : 9789810213824

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Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems by Werner Ebeling,Igor M. Sokolov Pdf

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.

Nonequilibrium Statistical Physics of Small Systems

Author : Rainer Klages,Wolfram Just,Christopher Jarzynski
Publisher : John Wiley & Sons
Page : 450 pages
File Size : 47,9 Mb
Release : 2013-03-15
Category : Science
ISBN : 9783527658725

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Nonequilibrium Statistical Physics of Small Systems by Rainer Klages,Wolfram Just,Christopher Jarzynski Pdf

This book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems. Written by internationally recognized experts in the field, this book strikes a balance between theory and experiment, and includes in-depth introductions to nonequilibrium fluctuation relations, nonlinear dynamics and transport, single molecule experiments, and molecular diffusion in nanopores. The authors explore the application of these concepts to nano- and biosystems by cross-linking key methods and ideas from nonequilibrium statistical physics, thermodynamics, stochastic theory, and dynamical systems. By providing an up-to-date survey of small systems physics, the text serves as both a valuable reference for experienced researchers and as an ideal starting point for graduate-level students entering this newly emerging research field.

Nonlinear Nonequilibrium Thermodynamics II

Author : Rouslan L. Stratonovich
Publisher : Springer Science & Business Media
Page : 237 pages
File Size : 55,7 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662030707

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Nonlinear Nonequilibrium Thermodynamics II by Rouslan L. Stratonovich Pdf

This two-volume work gives the first detailed coherent treatment of a relatively young branch of statistical physics - nonlinear nonequilibrium and fluctuational dissipative thermodynamics. This area of research has taken shape rather recently: its de~elopment began in 1959. The earlier theory - linear nonequilibrium ther modynamics - is in principle a simple special case of the new theory. Despite the fact that the title of the book includes the word 'nonlinear', it also covers the results of linear nonequilibrium thermodynamics. The presentation of the linear and nonlinear theories is done within a common theoretical framework that is not subject to the linearity condition. The author hopes that the reader will perceive the intrinsic unjty of this dis cipline, the uniformity and generality of its constituent parts. This theory has a wide variety of applications in various domains of physics and physical chemistry, enabling one to calculate thermal fluctuations in various nonlinear systems. The book is divided into two volumes. Fluctuation-dissipation theorems (or relations) of various types (linear, quadratic and cubic, classical and quantum) are considered in the first volume. There one encounters the Markov and non-Markov fluctuation-dissipation theorems (FDTs), theorems of the first, second and third kinds. Nonlinear FDTs are less known than their linear counterparts. The present second volume of the book deals with the advanced theory. It consists of four chapters. The connection and interdependence of the material in the various chapters of both volumes are illustrated in the accompanying diagram.

Nonlinear Nonequilibrium Thermodynamics I

Author : Rouslan L. Stratonovich
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642773433

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Nonlinear Nonequilibrium Thermodynamics I by Rouslan L. Stratonovich Pdf

This book gives the first detailed coherent treatment of a relatively young branch of statistical physics - nonlinear nonequilibrium and fluctuation-dissipative thermo dynamics. This area of research has taken shape fairly recently: its development began in 1959. The earlier theory -linear nonequilibrium thermodynamics - is in principle a simple special case of the new theory. Despite the fact that the title of this book includes the word "nonlinear", it also covers the results of linear nonequilibrium thermodynamics. The presentation of the linear and nonlinear theories is done within a common theoretical framework that is not subject to the linearity condition. The author hopes that the reader will perceive the intrinsic unity of this discipline, and the uniformity and generality of its constituent parts. This theory has a wide variety of applications in various domains of physics and physical chemistry, enabling one to calculate thermal fluctuations in various nonlinear systems. The book is divided into two volumes. Fluctuation-dissipation theorems (or relations) of various types (linear, quadratic and cubic, classical and quantum) are considered in the first volume. Here one encounters the Markov and non-Markov fluctuation-dissipation theorems (FDTs), theorems of the first, second and third kinds. Nonlinear FDTs are less well known than their linear counterparts.

Predictive Statistical Mechanics

Author : Roberto Luzzi,Áurea R. Vasconcellos,J. Galvão Ramos
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 45,8 Mb
Release : 2013-06-29
Category : Science
ISBN : 9789401727488

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Predictive Statistical Mechanics by Roberto Luzzi,Áurea R. Vasconcellos,J. Galvão Ramos Pdf

Chapters 1 to 5 include a description of the philosophy, foundations, and construction (methodology) of the formalism, including the derivation of a nonequilibrium grand-canonical ensemble for far-from-equilibrium systems as well as the derivation of a quantum nonlinear kinetic theory and a response function theory together with a theory of scattering. In chapter 6 applications of the theory are cataloged, making comparisons with experimental data (a basic step for the validation of any theory). Chapter 7 is devoted to the description of irreversible thermodynamics, providing a far-reaching generalization of Informational-Statistical Thermodynamics. The last chapter gives an overall picture of the formalism, and questions and criticisms related to it are discussed.

Nonequilibrium Statistical Thermodynamics

Author : Bernard H. Lavenda
Publisher : Courier Dover Publications
Page : 225 pages
File Size : 48,8 Mb
Release : 2019-04-17
Category : Science
ISBN : 9780486833125

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Nonequilibrium Statistical Thermodynamics by Bernard H. Lavenda Pdf

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.

An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics

Author : Horacio S Wio,Roberto R Deza,Juan M López
Publisher : World Scientific Publishing Company
Page : 336 pages
File Size : 51,6 Mb
Release : 2012-09-05
Category : Science
ISBN : 9789814434638

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An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics by Horacio S Wio,Roberto R Deza,Juan M López Pdf

This book aims to provide a compact and unified introduction to the most important aspects in the physics of non-equilibrium systems. It first introduces stochastic processes and some modern tools and concepts that have proved their usefulness to deal with non-equilibrium systems from a purely probabilistic angle. The aim is to show the important role played by fluctuations in far-from-equilibrium situations, where noise can promote order and organization, switching among non-equilibrium states, etc. The second part adopts a more historical perspective, retracing the first steps taken from the purely thermodynamic as well as from the kinetic points of view to depart (albeit slightly) from equilibrium. The third part revisits the path outlined in the first one, but now undertakes the mesoscopic description of extended systems, where new phenomena (patterns, long-range correlations, scaling far from equilibrium, etc.) are observed. This book is a revised and extended version of an earlier edition published in 1994. It includes topics of current research interest in far-from-equilibrium situations like noise-induced phenomena and free energy-like functionals, surface growth and roughening, etc. It can be used as an advanced textbook by graduate students in physics. It also covers topics of current interest in other disciplines and interdisciplinary approaches in engineering, biophysics, and economics, among others. The level of detail in the book is enough to capture the interest of the reader and facilitate the path to more learning by exploring the modern research literature provided. At the same time, the book is also complete enough to be self-contained for those readers who just need an overview of the subject.

Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems

Author : Bohdan I Lev,Anatoly G Zagorodny
Publisher : World Scientific
Page : 352 pages
File Size : 55,8 Mb
Release : 2021-02-18
Category : Science
ISBN : 9789811229992

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Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems by Bohdan I Lev,Anatoly G Zagorodny Pdf

This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications.To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.).

Statistical Mechanics of Nonequilibrium Liquids

Author : Denis J. Evans,Gary P. Morriss
Publisher : Elsevier
Page : 316 pages
File Size : 48,5 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483260457

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Statistical Mechanics of Nonequilibrium Liquids by Denis J. Evans,Gary P. Morriss Pdf

Statistical Mechanics of Nonequilibrium Liquids deals with theoretical rheology. The book discusses nonlinear response of systems and outlines the statistical mechanical theory. In discussing the framework of nonequilibrium statistical mechanics, the book explains the derivation of a nonequilibrium analogue of the Gibbsian basis for equilibrium statistical mechanics. The book reviews the linear irreversible thermodynamics, the Liouville equation, and the Irving-Kirkwood procedure. The text then explains the Green-Kubo relations used in linear transport coefficients, the linear response theory, the isothermal linear response theory, as well as the equivalence of thermostatted linear responses. The book also describes how thermostatted linear mechanical response of many-body systems can be related to equilibrium fluctuations. The text explains the procedure for calculating the linear Navier-Stokes transport coefficients through computer simulation algorithms. The book also discusses the van Kampen objection to linear response theory, the steady-state fluctuations, and the thermodynamics of steady states. The text will prove valuable for researchers in molecular chemistry, scientists, and academicians involved in advanced physics.

Statistical Foundations of Irreversible Thermodynamics

Author : Roberto Luzzi,Aurea R. Vasconcellos,J. Galvao Ramos
Publisher : Springer Science & Business Media
Page : 180 pages
File Size : 52,5 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783322800190

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Statistical Foundations of Irreversible Thermodynamics by Roberto Luzzi,Aurea R. Vasconcellos,J. Galvao Ramos Pdf

Some aspects of the physics of many-body systems arbitrarily away from equilibrium, mainly the characterization and irreversible evolution of their macroscopic state, are considered. The present status of phenomenological irreversible thermodynamics is described. An approach for building a statistical thermodynamics - dubbed Informational-Statistical-Thermodynamics - based on a non-equilibrium statistical ensemble formalism is presented. The formalism can be considered as encompassed within the scope of the so-called Predictive Statistical Mechanics, in which the predictability of future states in terms of the knowledge of present and past states, and the question of historicity in the case of systems with complex behaviour, is its main characteristic. The book is recommended for researchers in the area of non-equilibrium statistical mechanics and thermodynamics, as well as a textbook for advanced courses for graduate students in the area of condensed matter physics.

Non-Dissipative Effects in Nonequilibrium Systems

Author : Christian Maes
Publisher : Springer
Page : 53 pages
File Size : 40,8 Mb
Release : 2017-09-20
Category : Science
ISBN : 9783319677804

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Non-Dissipative Effects in Nonequilibrium Systems by Christian Maes Pdf

This book introduces and discusses both the fundamental aspects and the measurability of applications of time-symmetric kinetic quantities, outlining the features that constitute the non-dissipative branch of non-equilibrium physics. These specific features of non-equilibrium dynamics have largely been ignored in standard statistical mechanics texts. This introductory-level book offers novel material that does not take the traditional line of extending standard thermodynamics to the irreversible domain. It shows that although stationary dissipation is essentially equivalent with steady non-equilibrium and ubiquitous in complex phenomena, non-equilibrium is not determined solely by the time-antisymmetric sector of energy-entropy considerations. While this should not be very surprising, this book provides timely, simple reminders of the role of time-symmetric and kinetic aspects in the construction of non-equilibrium statistical mechanics.

Thermodynamics and Statistical Mechanics of Small Systems

Author : Andrea Puglisi,Alessandro Sarracino ,Angelo Vulpiani
Publisher : MDPI
Page : 335 pages
File Size : 48,8 Mb
Release : 2018-09-04
Category : Electronic
ISBN : 9783038970576

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Thermodynamics and Statistical Mechanics of Small Systems by Andrea Puglisi,Alessandro Sarracino ,Angelo Vulpiani Pdf

This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy

Nonequilibrium Thermodynamics and Fluctuation Kinetics

Author : Léon Brenig,Nikolai Brilliantov,Mustapha Tlidi
Publisher : Springer Nature
Page : 351 pages
File Size : 47,5 Mb
Release : 2022-11-12
Category : Science
ISBN : 9783031044588

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Nonequilibrium Thermodynamics and Fluctuation Kinetics by Léon Brenig,Nikolai Brilliantov,Mustapha Tlidi Pdf

This book addresses research challenges in the rapidly developing area of nonequilibrium thermodynamics and fluctuation kinetics. This cross-disciplinary field comprises various topics, ranging from fundamental problems of nonequilibrium statistical mechanics and thermodynamics to multiple applications in plasma, fluid mechanics, nonlinear science, systems of dissipative particles, and high-Q resonators. The purpose of this book is to bring together world-leading experts in the above fields to initiate a cross-fertilization among these active research areas. The book is dedicated to and honours the memory of Professor Slava Belyi who passed away unexpectedly on May 20, 2020. He was pioneering the theory of nonequilibrium fluctuations, in particular the application of the Callen-Welton fluctuation-dissipation theorem to nonequilibrium systems and its generalization. This and related problems also feature in the book.

Non-equilibrium Statistical Physics with Application to Disordered Systems

Author : Manuel Osvaldo Cáceres
Publisher : Springer
Page : 556 pages
File Size : 52,5 Mb
Release : 2017-03-07
Category : Science
ISBN : 9783319515533

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Non-equilibrium Statistical Physics with Application to Disordered Systems by Manuel Osvaldo Cáceres Pdf

This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder. The target audience includes students of physics, mathematics, biology, chemistry, and engineering at undergraduate and graduate level with a grasp of the basic elements of mathematics and physics of the fourth year of a typical undergraduate course. The little-known physical and mathematical concepts are described in sections and specific exercises throughout the text, as well as in appendices. Physical-mathematical motivation is the main driving force for the development of this text. It presents the academic topics of probability theory and stochastic processes as well as new educational aspects in the presentation of non-equilibrium statistical theory and stochastic differential equations.. In particular it discusses the problem of irreversibility in that context and the dynamics of Fokker-Planck. An introduction on fluctuations around metastable and unstable points are given. It also describes relaxation theory of non-stationary Markov periodic in time systems. The theory of finite and infinite transport in disordered networks, with a discussion of the issue of anomalous diffusion is introduced. Further, it provides the basis for establishing the relationship between quantum aspects of the theory of linear response and the calculation of diffusion coefficients in amorphous systems.