Nonequilibrium Thermodynamics And Its Statistical Foundations

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Nonequilibrium Thermodynamics and Its Statistical Foundations

Author : Hans J. Kreuzer
Publisher : Oxford University Press, USA
Page : 458 pages
File Size : 44,5 Mb
Release : 1981
Category : Language Arts & Disciplines
ISBN : MINN:31951000534030V

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Nonequilibrium Thermodynamics and Its Statistical Foundations by Hans J. Kreuzer Pdf

Nonequilibrium Statistical Thermodynamics

Author : Bernard H. Lavenda
Publisher : Courier Dover Publications
Page : 225 pages
File Size : 52,8 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.

Statistical Foundations of Irreversible Thermodynamics

Author : Roberto Luzzi,Aurea R. Vasconcellos,J. Galvao Ramos
Publisher : Springer Science & Business Media
Page : 180 pages
File Size : 52,7 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-Equilibrium Thermodynamics

Author : S. R. De Groot,P. Mazur
Publisher : Courier Corporation
Page : 532 pages
File Size : 47,6 Mb
Release : 2013-01-23
Category : Science
ISBN : 9780486153506

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Non-Equilibrium Thermodynamics by S. R. De Groot,P. Mazur Pdf

Classic monograph treats irreversible processes and phenomena of thermodynamics: non-equilibrium thermodynamics. Covers statistical foundations and applications with chapters on fluctuation theory, theory of stochastic processes, kinetic theory of gases, more.

Non-equilibrium Thermodynamics and Statistical Mechanics

Author : Phil Attard
Publisher : OUP Oxford
Page : 480 pages
File Size : 40,6 Mb
Release : 2012-10-04
Category : Science
ISBN : 9780191639777

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Non-equilibrium Thermodynamics and Statistical Mechanics by Phil Attard Pdf

`Non-equilibrium Thermodynamics and Statistical Mechanics: Foundations and Applications' builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph. Uniquely, the book treats time-dependent systems by close analogy with their static counterparts, with most of the familiar results of equilibrium thermodynamics and statistical mechanics being generalized and applied to the non-equilibrium case. The book is notable for its unified treatment of thermodynamics, hydrodynamics, stochastic processes, and statistical mechanics, for its self-contained, coherent derivation of a variety of non-equilibrium theorems, and for its quantitative tests against experimental measurements and computer simulations. Systems that evolve in time are more common than static systems, and yet until recently they lacked any over-arching theory. 'Non-equilibrium Thermodynamics and Statistical Mechanics' is unique in its unified presentation of the theory of non-equilibrium systems, which has now reached the stage of quantitative experimental and computational verification. The novel perspective and deep understanding that this book brings offers the opportunity for new direction and growth in the study of time-dependent phenomena. 'Non-equilibrium Thermodynamics and Statistical Mechanics' is an invaluable reference manual for experts already working in the field. Research scientists from different disciplines will find the overview of time-dependent systems stimulating and thought-provoking. Lecturers in physics and chemistry will be excited by many fresh ideas and topics, insightful explanations, and new approaches. Graduate students will benefit from its lucid reasoning and its coherent approach, as well as from the chem12physof mathematical techniques, derivations, and computer algorithms.

Understanding Non-equilibrium Thermodynamics

Author : Georgy Lebon,David Jou
Publisher : Springer Science & Business Media
Page : 326 pages
File Size : 55,8 Mb
Release : 2008-01-12
Category : Science
ISBN : 9783540742524

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Understanding Non-equilibrium Thermodynamics by Georgy Lebon,David Jou Pdf

Discover the many facets of non-equilibrium thermodynamics. The first part of this book describes the current thermodynamic formalism recognized as the classical theory. The second part focuses on different approaches. Throughout the presentation, the emphasis is on problem-solving applications. To help build your understanding, some problems have been analyzed using several formalisms to underscore their differences and their similarities.

Nonequilibrium Thermodynamics

Author : Yasar Demirel,Vincent Gerbaud
Publisher : Elsevier
Page : 880 pages
File Size : 50,7 Mb
Release : 2018-11-24
Category : Science
ISBN : 9780444641137

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Nonequilibrium Thermodynamics by Yasar Demirel,Vincent Gerbaud Pdf

Nonequilibrium Thermodynamics: Transport and Rate Processes in Physical, Chemical and Biological Systems, Fourth Edition emphasizes the unifying role of thermodynamics in analyzing natural phenomena. This updated edition expands on the third edition by focusing on the general balance equations for coupled processes of physical, chemical and biological systems. Updates include stochastic approaches, self-organization criticality, ecosystems, mesoscopic thermodynamics, constructual law, quantum thermodynamics, fluctuation theory, information theory, and modeling the coupled biochemical systems. The book also emphasizes nonequilibrium thermodynamics tools, such as fluctuation theories, mesoscopic thermodynamic analysis, information theories, and quantum thermodynamics in describing and designing small scale systems. Provides a useful text for seniors and graduate students from diverse engineering and science programs Highlights the fundamentals of equilibrium thermodynamics, transport processes and chemical reactions Expands the theory of nonequilibrium thermodynamics and its use in coupled transport processes and chemical reactions in physical, chemical and biological systems Presents a unified analysis for transport and rate processes in various time and space scales Discusses stochastic approaches in thermodynamic analysis, including fluctuation and information theories, mesoscopic nonequilibrium thermodynamics, constructal law and quantum thermodynamics

Statistical Thermodynamics of Nonequilibrium Processes

Author : Joel Keizer
Publisher : Springer Science & Business Media
Page : 517 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461210542

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Statistical Thermodynamics of Nonequilibrium Processes by Joel Keizer Pdf

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.

Statistical Physics and Thermodynamics of Nonlinear Nonequilibrium Systems

Author : W Ebeling,W Muschik
Publisher : World Scientific
Page : 268 pages
File Size : 41,5 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 Dynamics

Author : R. F. Streater
Publisher : Imperial College Press
Page : 393 pages
File Size : 45,7 Mb
Release : 2009
Category : Science
ISBN : 9781848162440

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Statistical Dynamics by R. F. Streater Pdf

How can one construct dynamical systems obeying the first and second laws of thermodynamics: mean energy is conserved and entropy increases with time? This book answers the question for classical probability (Part I) and quantum probability (Part II). A novel feature is the introduction of heat particles which supply thermal noise and represent the kinetic energy of the molecules. When applied to chemical reactions, the theory leads to the usual nonlinear reaction-diffusion equations as well as modifications of them. These can exhibit oscillations, or can converge to equilibrium.In this second edition, the text is simplified in parts and the bibliography has been expanded. The main difference is the addition of two new chapters; in the first, classical fluid dynamics is introduced. A lattice model is developed, which in the continuum limit gives us the Euler equations. The five Navier-Stokes equations are also presented, modified by a diffusion term in the continuity equation. The second addition is in the last chapter, which now includes estimation theory, both classical and quantum, using information geometry.

Nonequilibrium Statistical Physics of Small Systems

Author : Rainer Klages,Wolfram Just,Christopher Jarzynski
Publisher : John Wiley & Sons
Page : 450 pages
File Size : 45,6 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.

Nonequilibrium Thermodynamics and Fluctuation Kinetics

Author : Léon Brenig,Nikolai Brilliantov,Mustapha Tlidi
Publisher : Springer Nature
Page : 351 pages
File Size : 46,6 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.

Understanding Non-equilibrium Thermodynamics

Author : Georgy Lebon
Publisher : Unknown
Page : 0 pages
File Size : 46,8 Mb
Release : 2008
Category : Nonequilibrium thermodynamics
ISBN : OCLC:1346049061

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Understanding Non-equilibrium Thermodynamics by Georgy Lebon Pdf

Predictive Statistical Mechanics

Author : Roberto Luzzi,Áurea R. Vasconcellos,J. Galvão Ramos
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 47,8 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.