Statistical Mechanics of Nonequilibrium Processes
Author : Dmitriĭ Nikolaevich Zubarev
Publisher :
Page : 0 pages
File Size : 15,59 MB
Release : 1996
Category : Nonequilibrium plasmas
ISBN : 9783055017094
Author : Dmitriĭ Nikolaevich Zubarev
Publisher :
Page : 0 pages
File Size : 15,59 MB
Release : 1996
Category : Nonequilibrium plasmas
ISBN : 9783055017094
Author : Dmitrii Zubarev
Publisher : Wiley-VCH
Page : 0 pages
File Size : 16,81 MB
Release : 1997-10-08
Category : Science
ISBN : 9783527400843
This is the second part of a two-volume textbook on the modern statistical theory of nonequilibrium processes. The general method of nonequilibrium statistical ensembles developed in the first volume is applied to various problems in linear response theory, relaxation phenomena, hydrodynamics, and the dynamical theory of fluctuations. Some active areas of research are considered, including relaxation processes in highly nonequilibrium systems, kinetic processes in lasers, nonequilibrium many-particle correlations in the Green’s function formalism, superfluid statistical hydrodynamics, large-scale fluctuations in nonequilibrium systems, and statistical mechanics of turbulence. Exercises and problems for readers are also included. The book is self-contained and accessible to students having heard the standard course in statistical physics. It is also of interest for specialists working in solid state physics, chemical physics, and physics of plasma and fluids.
Author : Robert Zwanzig
Publisher : Oxford University Press, USA
Page : 233 pages
File Size : 45,68 MB
Release : 2001-05-17
Category : Science
ISBN : 0195140184
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
Page : 517 pages
File Size : 43,95 MB
Release : 2012-12-06
Category : Science
ISBN : 1461210542
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 : R. Kubo
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 31,26 MB
Release : 2012-12-06
Category : Science
ISBN : 3642967019
This volume of Statistical Physics consititutes the second part of Statistical Physics (Springer Series in Solid-State Science, Vols. 30, 31) and is devoted to nonequilibrium theories of statistical mechanics. We start with an intro duction to the stochastic treatment of Brownian motion and then proceed to general problems involved in deriving a physical process from an underlying more basic process. Relaxation from nonequilibrium to equilibrium states and the response of a system to an external disturbance form the central problems of nonequilibrium statistical mechanics. These problems are treated both phenomenologically and microscopically along the lines of re cent developments. Emphasis is placed on fundamental concepts and methods rather than on applications which are too numerous to be treated exhaustively within the limited space of this volume. For information on the general aim of this book, the reader is referred to the Foreword. For further reading, the reader should consult the bibliographies, although these are not meant to be exhaustive.
Author : Denis J. Evans
Publisher : ANU E Press
Page : 318 pages
File Size : 22,18 MB
Release : 2007-08-01
Category : Science
ISBN : 1921313234
"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.
Author : Horacio S. Wio
Publisher : World Scientific Publishing Company Incorporated
Page : 217 pages
File Size : 43,97 MB
Release : 1994-01-01
Category : Science
ISBN : 9789810215712
Author : Phil Attard
Publisher : OUP Oxford
Page : 480 pages
File Size : 48,9 MB
Release : 2012-10-04
Category : Science
ISBN : 019163977X
`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.
Author : Dmitrii N. Zubarev
Publisher : Wiley-VCH
Page : 384 pages
File Size : 32,4 MB
Release : 1996-06-13
Category : Science
ISBN :
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 : Ilya Prigogine
Publisher : Courier Dover Publications
Page : 337 pages
File Size : 40,93 MB
Release : 2017-03-17
Category : Science
ISBN : 0486815552
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.