Download or read book Nonlinear Nonequilibrium Thermodynamics I written by Rouslan L. Stratonovich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Nonlinear Nonequilibrium Thermodynamics II written by Rouslan L. Stratonovich and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Nonlinear Nonequilibrium Thermodynamics written by and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinear Nonequilibrium Thermodynamics II written by Rouslan L. Stratonovich and published by Springer. This book was released on 1994-05-16 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Statistical Physics and Thermodynamics of Nonlinear Nonequilibrium Systems written by W Ebeling and published by World Scientific. This book was released on 1993-03-27 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Non Equilibrium Thermodynamics written by S. R. De Groot and published by Courier Corporation. This book was released on 2013-01-23 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Statistical Thermodynamics of Nonequilibrium Processes written by Joel Keizer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Non equilibrium Thermodynamics of Heterogeneous Systems written by Signe Kjelstrup and published by World Scientific. This book was released on 2008 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to encourage the use of non-equilibrium thermodynamics to describe transport in complex, heterogeneous media. With large coupling effects between the transport of heat, mass, charge and chemical reactions at surfaces, it is important to know how one should properly integrate across systems where different phases are in contact. No other book gives a prescription of how to set up flux equations for transports across heterogeneous systems.The authors apply the thermodynamic description in terms of excess densities, developed by Gibbs for equilibrium, to non-equilibrium systems. The treatment is restricted to transport into and through the surface. Using local equilibrium together with the balance equations for the surface, expressions for the excess entropy production of the surface and of the contact line are derived. Many examples are given to illustrate how the theory can be applied to coupled transport of mass, heat, charge and chemical reactions; in phase transitions, at electrode surfaces and in fuel cells. Molecular simulations and analytical studies are used to add insight.

Download or read book Understanding Non equilibrium Thermodynamics written by Georgy Lebon and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Non equilibrium thermodynamics and physical kinetics written by Halid Bikkin and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-08-22 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate textbook covers contemporary directions of non-equilibrium statistical mechanics as well as classical methods of kinetics. Starting from phenomenological non-equilibrium thermodynamics, the kinetic equation method discussed and demonstrated with electrons and phonons in conducting crystals. Linear response theory as well as the non-equilibrium statistical operator and the master equation approach are discussed in the course of the book. With one of the main propositions being to avoid terms such as "obviously" and "it is easy to show", this treatise is an easy-to-read introduction into this traditional, yet vibrant field. Problems and their well-documented solutions included at appropriate points of the narrative allow the reader to actively develop essential parts of the theory himself. From the content: Phenomenological thermodynamics of irreversible processes Brownian motion Kinetic equations in non-equilibrium thermodynamics Kinetic equation for electrons and phonons in conducting crystals Theory of non-linear response to an external mechanical pertubation Non-equilibrium statistical operator method Response of a highly non-equilibrium system to a weakly measuring field Master equation approach

Download or read book Non equilibrium Thermodynamics written by University of Chicago and published by . This book was released on 1966 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonequilibrium Statistical Thermodynamics written by Bernard H. Lavenda and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Maximum Dissipation Non Equilibrium Thermodynamics and its Geometric Structure written by Henry W. Haslach Jr. and published by Springer Science & Business Media. This book was released on 2011-01-15 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Nonequilibrium Thermodynamics and Its Statistical Foundations written by Hans J. Kreuzer and published by Oxford University Press, USA. This book was released on 1981 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Thermomechanics of Nonlinear Irreversible Behaviors written by Gérard A Maugin and published by World Scientific. This book was released on 1999-10-04 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Non Equilibrium Thermodynamics with Application to Solids written by W. Muschik and published by Springer. This book was released on 2014-05-04 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts emphasis on developing the basic ideas behind the different approaches to non-equilibrium thermodynamics and on applying them to solids. After a survey about different approaches an introduction to their common fundamentals is given in the first part. In the second part the mechanical behavior of special materials such as viscoelasticity, viscoplasticity, viscoelastoplasticity, and thermoplasticity are discussed. The third part is devoted to extended thermodynamics. The basic ideas, phenomenological as well as microscopical, are reviewed and applied to thermo- and viscoelastic materials. Electromagnetic solids showing dielectric relaxation, such as ceramics, showing electromagneto-mechanical hysteresis and superconductivity are treated in the fourth part. In the last part stability with regard to constitutive equations is investigated. Especially stability of quasi-static processes and of elastic-plastic systems are discussed.

Download or read book Non equilibrium Thermodynamics written by Sybren Ruurds Groot and published by . This book was released on 1962 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: