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Author : Shigeji Fujita
Publisher : Unknown
Page : 165 pages
File Size : 40,7 Mb
Release : 1983
Category : Science
ISBN : 0898745934
Author : Yves Pomeau,Minh-Binh Tran
Publisher : Springer Nature
Page : 227 pages
File Size : 55,6 Mb
Release : 2019-11-29
Category : Science
ISBN : 9783030343941
This book provides an introduction to topics in non-equilibrium quantum statistical physics for both mathematicians and theoretical physicists. The first part introduces a kinetic equation, of Kolmogorov type, which is needed to describe an isolated atom (actually, in experiments, an ion) under the effect of a classical pumping electromagnetic field which keeps the atom in its excited state(s) together with the random emission of fluorescence photons which put it back into its ground state. The quantum kinetic theory developed in the second part is an extension of Boltzmann's classical (non-quantum) kinetic theory of a dilute gas of quantum bosons. This is the source of many interesting fundamental questions, particularly because, if the temperature is low enough, such a gas is known to have at equilibrium a transition, the Bose–Einstein transition, where a finite portion of the particles stay in the quantum ground state. An important question considered is how a Bose gas condensate develops in time if its energy is initially low enough.
Author : Robert Zwanzig
Publisher : Oxford University Press, USA
Page : 233 pages
File Size : 49,8 Mb
Release : 2001-05-17
Category : Science
ISBN : 9780195140187
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 : Robert Zwanzig
Publisher : Oxford University Press
Page : 233 pages
File Size : 51,9 Mb
Release : 2001-04-19
Category : Science
ISBN : 9780198032151
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 : Ilya Prigogine
Publisher : Courier Dover Publications
Page : 337 pages
File Size : 49,6 Mb
Release : 2017-03-17
Category : Science
ISBN : 9780486815558
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 : Carolyn M. Van Vliet
Publisher : World Scientific
Page : 987 pages
File Size : 43,7 Mb
Release : 2008
Category : Science
ISBN : 9789812704771
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 : Unknown
Page : 392 pages
File Size : 53,5 Mb
Release : 1989
Category : Science
ISBN : UOM:39015017230569
Author : Roberto Livi,Paolo Politi
Publisher : Cambridge University Press
Page : 439 pages
File Size : 40,8 Mb
Release : 2017-10-05
Category : Science
ISBN : 9781107049543
A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.
Author : Gianluca Stefanucci,Robert van Leeuwen
Publisher : Cambridge University Press
Page : 128 pages
File Size : 53,9 Mb
Release : 2013-03-07
Category : Science
ISBN : 9781107354579
The Green's function method is one of the most powerful and versatile formalisms in physics, and its nonequilibrium version has proved invaluable in many research fields. This book provides a unique, self-contained introduction to nonequilibrium many-body theory. Starting with basic quantum mechanics, the authors introduce the equilibrium and nonequilibrium Green's function formalisms within a unified framework called the contour formalism. The physical content of the contour Green's functions and the diagrammatic expansions are explained with a focus on the time-dependent aspect. Every result is derived step-by-step, critically discussed and then applied to different physical systems, ranging from molecules and nanostructures to metals and insulators. With an abundance of illustrative examples, this accessible book is ideal for graduate students and researchers who are interested in excited state properties of matter and nonequilibrium physics.
Author : Franz Schwabl
Publisher : Springer Science & Business Media
Page : 578 pages
File Size : 44,9 Mb
Release : 2006-09-19
Category : Science
ISBN : 9783540362173
This completely revised edition of the classical book on Statistical Mechanics covers the basic concepts of equilibrium and non-equilibrium statistical physics. In addition to a deductive approach to equilibrium statistics and thermodynamics based on a single hypothesis this book treats the most important elements of non-equilibrium phenomena. Intermediate calculations are presented in complete detail. Problems at the end of each chapter help students to consolidate their understanding of the material. Beyond the fundamentals, this text demonstrates the breadth of the field and its great variety of applications.
Author : J. R. Dorfman
Publisher : Cambridge University Press
Page : 303 pages
File Size : 42,9 Mb
Release : 1999-08-28
Category : Science
ISBN : 9780521655897
Introduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics.
Author : Gene F. Mazenko
Publisher : John Wiley & Sons
Page : 492 pages
File Size : 43,5 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527618965
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 : V. Balakrishnan
Publisher : Springer
Page : 314 pages
File Size : 44,6 Mb
Release : 2021-12-05
Category : Science
ISBN : 3030622355
This book deals with the basic principles and techniques of nonequilibrium statistical mechanics. The importance of this subject is growing rapidly in view of the advances being made, both experimentally and theoretically, in statistical physics, chemical physics, biological physics, complex systems and several other areas. The presentation of topics is quite self-contained, and the choice of topics enables the student to form a coherent picture of the subject. The approach is unique in that classical mechanical formulation takes center stage. The book is of particular interest to advanced undergraduate and graduate students in engineering departments.
Author : John Dirk Walecka
Publisher : World Scientific Publishing Company
Page : 384 pages
File Size : 47,8 Mb
Release : 2011-08-12
Category : Science
ISBN : 9789813100619
The science of statistical mechanics is concerned with defining the thermodynamic properties of a macroscopic sample in terms of the properties of the microscopic systems of which it is composed. The aim of this book is to provide a clear, logical, and self-contained treatment of equilibrium statistical mechanics starting from Boltzmann's two statistical assumptions, and to present a wide variety of applications to diverse physical assemblies. The coverage is enhanced and extended through an extensive set of accessible problems. An appendix provides an introduction to non-equilibrium statistical mechanics through the Boltzmann equation and its extensions. The book assumes introductory courses in classical and quantum mechanics, as well as familiarity with multi-variable calculus and the essentials of complex analysis. Some knowledge of thermodynamics is assumed, although the book starts with an appropriate review of that topic. The targeted audience is first-year graduate students, and advanced undergraduates, in physics, chemistry, and the related physical sciences. The goal of this text is to help the reader obtain a clear working knowledge of the very useful and powerful methods of equilibrium statistical mechanics and to enhance the understanding and appreciation of the more advanced texts.
Author : Rainer Klages,Wolfram Just,Christopher Jarzynski
Publisher : John Wiley & Sons
Page : 402 pages
File Size : 54,9 Mb
Release : 2013-03-15
Category : Science
ISBN : 9783527658725
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.
