Nonlinear Nonequilibrium Thermodynamics I
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Nonlinear Nonequilibrium Thermodynamics I
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Author : Rouslan L. Stratonovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Nonequilibrium Thermodynamics I written by Rouslan L. Stratonovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Nonlinear Nonequilibrium Thermodynamics
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Author :
language : en
Publisher:
Release Date : 1992
Nonlinear Nonequilibrium Thermodynamics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Nonlinear Nonequilibrium Thermodynamics Ii
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Author : Rouslan L. Stratonovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Nonlinear Nonequilibrium Thermodynamics Ii written by Rouslan L. Stratonovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
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 Ii
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Author : Rouslan L. Stratonovich
language : en
Publisher: Springer
Release Date : 1994-05-16
Nonlinear Nonequilibrium Thermodynamics Ii written by Rouslan L. Stratonovich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-16 with Science categories.
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.
Statistical Physics And Thermodynamics Of Nonlinear Nonequilibrium Systems
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Author : W Ebeling
language : en
Publisher: World Scientific
Release Date : 1993-03-27
Statistical Physics And Thermodynamics Of Nonlinear Nonequilibrium Systems written by W Ebeling and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-27 with Science categories.
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.
The Thermomechanics Of Nonlinear Irreversible Behaviors
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Author : Gérard A Maugin
language : en
Publisher: World Scientific
Release Date : 1999-10-04
The Thermomechanics Of Nonlinear Irreversible Behaviors written by Gérard A Maugin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-04 with Science categories.
In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state. This applies to both fluids and solids with or without microstructures of mechanical or electromagnetic origin. This unmatched richness of essentially nonlinear behaviors is the result of the use of modern mathematical techniques such as convex analysis in a clear-cut framework which allows one to put under the umbrella of “irreversible thermodynamics” behaviors which until now have been commonly considered either not easily covered, or even impossible to incorporate into such a framework. The book is intended for all students and researchers whose main concern is the rational modeling of complex and/or new materials with physical and engineering applications, such as those accounting for coupled-field, hysteresis, fracture, nonlinear-diffusion, and phase-transformation phenomena. Contents:Introduction: A Post-Duhemian ThermodynamicsThermostatics and ThermodynamicsVarious ThermodynamicsThermodynamics with Internal VariablesApplications: General FrameworkViscosity in Complex FluidsViscoplasticity and PlasticityThermodynamics of FractureNon-Equilibrium Thermodynamics of Electromagnetic MaterialsWaves and Reaction–Diffusion Systems (RDS) Readership: Researchers and students in condensed matter/solid state physics, continuum mechanics, chaos/dynamical systems, statistical physics, thermodynamics, computational physics, applied mathematics and mechanical engineering. Keywords:Reviews: “Without doubt this book is an important contribution to the state-of-the-art in the field of thermomechanics (or better electro-magneto-thermomechanics) and presents an absolutely original view of an eminent expert. Briefly: a must for everyone interested in and working on thermodynamics and modern theories of material behavior.” Ceramics-Silikáty
Statistical Thermodynamics Of Nonequilibrium Processes
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Author : Joel Keizer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Statistical Thermodynamics Of Nonequilibrium Processes written by Joel Keizer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The structure of the theory ofthermodynamics has changed enormously since its inception in the middle of the nineteenth century. Shortly after Thomson and Clausius enunciated their versions of the Second Law, Clausius, Maxwell, and Boltzmann began actively pursuing the molecular basis of thermo dynamics, work that culminated in the Boltzmann equation and the theory of transport processes in dilute gases. Much later, Onsager undertook the elucidation of the symmetry oftransport coefficients and, thereby, established himself as the father of the theory of nonequilibrium thermodynamics. Com bining the statistical ideas of Gibbs and Langevin with the phenomenological transport equations, Onsager and others went on to develop a consistent statistical theory of irreversible processes. The power of that theory is in its ability to relate measurable quantities, such as transport coefficients and thermodynamic derivatives, to the results of experimental measurements. As powerful as that theory is, it is linear and limited in validity to a neighborhood of equilibrium. In recent years it has been possible to extend the statistical theory of nonequilibrium processes to include nonlinear effects. The modern theory, as expounded in this book, is applicable to a wide variety of systems both close to and far from equilibrium. The theory is based on the notion of elementary molecular processes, which manifest themselves as random changes in the extensive variables characterizing a system. The theory has a hierarchical character and, thus, can be applied at various levels of molecular detail.
Nonequilibrium Thermodynamics And Fluctuation Kinetics
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Author : Léon Brenig
language : en
Publisher: Springer Nature
Release Date : 2022-11-12
Nonequilibrium Thermodynamics And Fluctuation Kinetics written by Léon Brenig and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-12 with Science categories.
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.
Maximum Dissipation Non Equilibrium Thermodynamics And Its Geometric Structure
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Author : Henry W. Haslach Jr.
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-15
Maximum Dissipation Non Equilibrium Thermodynamics And Its Geometric Structure written by Henry W. Haslach Jr. and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-15 with Science categories.
Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure explores the thermodynamics of non-equilibrium processes in materials. The book develops a general technique created in order to construct nonlinear evolution equations describing non-equilibrium processes, while also developing a geometric context for non-equilibrium thermodynamics. Solid materials are the main focus in this volume, but the construction is shown to also apply to fluids. This volume also: • Explains the theory behind thermodynamically-consistent construction of non-linear evolution equations for non-equilibrium processes • Provides a geometric setting for non-equilibrium thermodynamics through several standard models, which are defined as maximum dissipation processes • Emphasizes applications to the time-dependent modeling of soft biological tissue Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure will be valuable for researchers, engineers and graduate students in non-equilibrium thermodynamics and the mathematical modeling of material behavior.
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.