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Author : H. Grabert
Publisher : Springer
ISBN 13 : 354039446X
Total Pages : 172 pages
Book Rating : 4.5/5 (43 download)
Download or read book Projection Operator Techniques in Nonequilibrium Statistical Mechanics written by H. Grabert and published by Springer. This book was released on 2006-04-11 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerd Röpke
Publisher : John Wiley & Sons
ISBN 13 : 3527670572
Total Pages : 388 pages
Book Rating : 4.5/5 (276 download)
Download or read book Nonequilibrium Statistical Physics written by Gerd Röpke and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by a well-known expert in the field of nonequilibrium statistical physics, this book is a coherent presentation of the subject suitable for masters and PhD students, as well as postdocs in physics and related disciplines. Starting from a general discussion of irreversibility and entropy, the method of nonequilibrium statistical operator is presented as a general concept. Stochastic processes are introduced as a necessary prerequisite to describe the evolution of a nonequilibrium state. Different standard approaches such as master equations, kinetic equations and linear response theory, are derived after special assumptions. This allows for an insight into the problems of nonequilibrium physics, a discussion of the limits of the approaches, and suggestions for improvements. The method of thermodynamic Green's function is outlined that allows for the systematic quantum statistical treatment of many-body systems. Applications and typical examples are given, as well as fully worked problems.
Author : Gerd Roepke
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)
Download or read book Nonequilibrium Statistical Operator written by Gerd Roepke and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonequilibrium statistical physics is concerned with a fundamental problem in physics, the phenomenon of irreversibility, which is not rigorously solved yet. Different approaches to the statistical mechanics of nonequilibrium processes are based on empirical assumptions, but a rigorous, first principle theory is missing. An important contribution to describe irreversible behavior starting from reversible Hamiltonian dynamics was given by Zubarev, who invented the method of the nonequilibrium statistical operator (NSO). We discuss, in particular, the extended von Neumann equation and the entropy concept in this approach. The method of NSO proved to be a general and universal approach to different nonequilibrium phenomena. Typical applications are the quantum master equation, kinetic theory, and linear response theory which are outlined and illustrated solving standard examples for reaction and transport processes. Some open questions are emphasized.
Author : Robert Zwanzig
Publisher : Oxford University Press, USA
ISBN 13 : 0195140184
Total Pages : 233 pages
Book Rating : 4.1/5 (951 download)
Download or read book Nonequilibrium Statistical Mechanics written by Robert Zwanzig and published by Oxford University Press, USA. This book was released on 2001-05-17 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a presentation of the main ideas and methods of modern nonequilibrium statistical mechanics. It is the perfect introduction for anyone in chemistry or physics who needs an update or background in this time-dependent field. Topics covered include fluctuation-dissipation theorem; linear response theory; time correlation functions, and projection operators. Theoretical models are illustrated by real-world examples and numerous applications such as chemical reaction rates and spectral line shapes are covered. The mathematical treatments are detailed and easily understandable and the appendices include useful mathematical methods like the Laplace transforms, Gaussian random variables and phenomenological transport equations.
Author : Joel Keizer
Publisher : Springer Science & Business Media
ISBN 13 : 1461210542
Total Pages : 517 pages
Book Rating : 4.4/5 (612 download)
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.
Author : Ilya Prigogine
Publisher : Courier Dover Publications
ISBN 13 : 0486815552
Total Pages : 337 pages
Book Rating : 4.4/5 (868 download)
Download or read book Non-Equilibrium Statistical Mechanics written by Ilya Prigogine and published by Courier Dover Publications. This book was released on 2017-03-17 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundbreaking monograph by Nobel Prize winner for researchers and graduate students covers Liouville equation, anharmonic solids, Brownian motion, weakly coupled gases, scattering theory and short-range forces, general kinetic equations, more. 1962 edition.
Author : Dmitriĭ Nikolaevich Zubarev
Publisher :
ISBN 13 : 9783055017094
Total Pages : 0 pages
Book Rating : 4.0/5 (17 download)
Download or read book Statistical Mechanics of Nonequilibrium Processes written by Dmitriĭ Nikolaevich Zubarev and published by . This book was released on 1996 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Zwanzig
Publisher : Oxford University Press
ISBN 13 : 0198032153
Total Pages : 233 pages
Book Rating : 4.1/5 (98 download)
Download or read book Nonequilibrium Statistical Mechanics written by Robert Zwanzig and published by Oxford University Press. This book was released on 2001-04-19 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a presentation of the main ideas and methods of modern nonequilibrium statistical mechanics. It is the perfect introduction for anyone in chemistry or physics who needs an update or background in this time-dependent field. Topics covered include fluctuation-dissipation theorem; linear response theory; time correlation functions, and projection operators. Theoretical models are illustrated by real-world examples and numerous applications such as chemical reaction rates and spectral line shapes are covered. The mathematical treatments are detailed and easily understandable and the appendices include useful mathematical methods like the Laplace transforms, Gaussian random variables and phenomenological transport equations.
Author : D. Zubarev
Publisher : Springer
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.:/5 (42 download)
Download or read book Nonequilibrium Statistical Thermodynamics written by D. Zubarev and published by Springer. This book was released on 1974 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dmitrii N. Zubarev
Publisher : Wiley-VCH
ISBN 13 :
Total Pages : 384 pages
Book Rating : 4.F/5 ( download)
Download or read book Statistical Mechanics of Nonequilibrium Processes, Volume 1 (See 3527400834) written by Dmitrii N. Zubarev and published by Wiley-VCH. This book was released on 1996-06-13 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified approach to the modern statistical theory of nonequilibrium processes. This book explores applications of this unified approach to classical and quantum kinetic theory of nonideal gases, to plasmas, and to solid state physics.
Author : Carolyn M. Van Vliet
Publisher : World Scientific
ISBN 13 : 9812704779
Total Pages : 987 pages
Book Rating : 4.8/5 (127 download)
Download or read book Equilibrium and Non-equilibrium Statistical Mechanics written by Carolyn M. Van Vliet and published by World Scientific. This book was released on 2008 with total page 987 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : James A. McLennan
Publisher :
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.3/5 (91 download)
Download or read book Introduction to Nonequilibrium Statistical Mechanics written by James A. McLennan and published by . This book was released on 1989 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roberto Luzzi
Publisher : Springer Science & Business Media
ISBN 13 : 9401727481
Total Pages : 330 pages
Book Rating : 4.4/5 (17 download)
Download or read book Predictive Statistical Mechanics written by Roberto Luzzi and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Gene F. Mazenko
Publisher : John Wiley & Sons
ISBN 13 : 3527618961
Total Pages : 492 pages
Book Rating : 4.5/5 (276 download)
Download or read book Nonequilibrium Statistical Mechanics written by Gene F. Mazenko and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present text offers a graduate level treatment of time dependent phenomena in condensed matter physics. Conventional ideas of linear response theory and kinetic theory are treated in detail. The general emphasis, however, in on the development of generalized Langevin equations for treating nonlinear behaviour in a wide variety of systems. A full treatment is given for the underpinnings of hydrodynamics for fluids. This is the third volume of a four volume set of texts by the same author, two of which have already been published ("Fluctuations, Order, and Defects" 0-471-32840-5, "Equilibrium Statistical Mechanics" 0-471-32839-1). While the preceding volume contains material that is a prerequisite for fully understanding the material presented here, this volume is self-contained and can stand alone from the preceding volume.
Author : K. Lindenberg
Publisher : Wiley-VCH
ISBN 13 : 9780471186830
Total Pages : 0 pages
Book Rating : 4.1/5 (868 download)
Download or read book The Nonequilibrium Statistical Mechanics of Open and Closed Systems written by K. Lindenberg and published by Wiley-VCH. This book was released on 1996-12-17 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first unified treatment of the properties of thermodynamically open and closed systems. It provides the theory and methodology that are necessary to understand nonlinear processes. The section on Classical Systems covers topics ranging from the evolution of probability to open and closed systems and non-Hamiltonian systems. The concluding section on Quantum Systems is equally detailed, treating the evolution of quantum systems, c-number fluctuations and operator fluctuations. The material covered is applicable to weather systems, ocean currents, dye lasers and many other nonequilibrium systems. The text is also suitable for students in graduate course. Numerous physical chemical examples facilitate self-study.
Author : Wilhelm Brenig
Publisher : Springer Science & Business Media
ISBN 13 : 3642746853
Total Pages : 298 pages
Book Rating : 4.6/5 (427 download)
Download or read book Statistical Theory of Heat written by Wilhelm Brenig and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text on the statistical theory of nonequilibrium phenomena grew out of lecture notes for courses on advanced statistical mechanics that were held more or less regularly at the Physics Department of the Technical University in Munich. My aim in these lectures was to incorporate various developments of many-body theory made during the last 20-30 years, in particular the correlation function approach, not just as an "extra" alongside the more "classical" results; I tried to use this approach as a unifying concept for the presentation of older as well as more recent results. I think that after so many excellent review articles and advanced treatments, correlation functions and memory kernels are as much a matter of course in nonequilibrium statistical physics as partition functions are in equilibrium theory, and should be used as such in regular courses and textbooks. The relations between correlation functions and earlier vehicles for the formulation of nonequilibrium theory such as kinetic equations, master equations, Onsager's theory, etc. , are discussed in detail in this volume. Since today there is growing interest in nonlinear phenomena I have included several chapters on related problems. There is some nonlinear response theory, some results on phenomenological nonlinear equations and some microscopic applications of the nonlinear response formalism. The main focus, however, is on the linear regime.
Author : Denis J. Evans
Publisher : ANU E Press
ISBN 13 : 1921313234
Total Pages : 318 pages
Book Rating : 4.9/5 (213 download)
Download or read book Statistical Mechanics of Nonequilibrium Liquids written by Denis J. Evans and published by ANU E Press. This book was released on 2007-08-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: "There is a symbiotic relationship between theoretical nonequilibrium statistical mechanics on the one hand and the theory and practice of computer simulation on the other. Sometimes, the initiative for progress has been with the pragmatic requirements of computer simulation and at other times, the initiative has been with the fundamental theory of nonequilibrium processes. This book summarises progress in this field up to 1990"--Publisher's description.
