Full Read and Download Reference eBook
The Statistical Mechanics Of Irreversible Phenomena Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of The Statistical Mechanics Of Irreversible Phenomena book. This book definitely worth reading, it is an incredibly well-written.
Author : Pierre Gaspard
Publisher : Cambridge University Press
Page : 689 pages
File Size : 45,95 MB
Release : 2022-07-28
Category : Science
ISBN : 1108473725
A comprehensive overview of recent progress in nonequilibrium statistical mechanics, including applications across a range of disciplines.
Author : Roberto Livi
Publisher : Cambridge University Press
Page : 439 pages
File Size : 10,6 MB
Release : 2017-10-05
Category : Science
ISBN : 1108364047
Statistical mechanics has been proven to be successful at describing physical systems at thermodynamic equilibrium. Since most natural phenomena occur in nonequilibrium conditions, the present challenge is to find suitable physical approaches for such conditions: this book provides a pedagogical pathway that explores various perspectives. The use of clear language, and explanatory figures and diagrams to describe models, simulations and experimental findings makes the book a valuable resource for undergraduate and graduate students, and also for lecturers organizing teaching at varying levels of experience in the field. Written in three parts, it covers basic and traditional concepts of nonequilibrium physics, modern aspects concerning nonequilibrium phase transitions, and application-orientated topics from a modern perspective. A broad range of topics is covered, including Langevin equations, Levy processes, directed percolation, kinetic roughening and pattern formation.
Author : Pierre Gaspard
Publisher : Cambridge University Press
Page : 689 pages
File Size : 19,83 MB
Release : 2022-07-28
Category : Science
ISBN : 1108580467
This book provides a comprehensive and self-contained overview of recent progress in nonequilibrium statistical mechanics, in particular, the discovery of fluctuation relations and other time-reversal symmetry relations. The significance of these advances is that nonequilibrium statistical physics is no longer restricted to the linear regimes close to equilibrium, but extends to fully nonlinear regimes. These important new results have inspired the development of a unifying framework for describing both the microscopic dynamics of collections of particles, and the macroscopic hydrodynamics and thermodynamics of matter itself. The book discusses the significance of this theoretical framework in relation to a broad range of nonequilibrium processes, from the nanoscale to the macroscale, and is essential reading for researchers and graduate students in statistical physics, theoretical chemistry and biological physics.
Author : Giovanni Gallavotti
Publisher : Springer
Page : 261 pages
File Size : 46,14 MB
Release : 2014-06-10
Category : Science
ISBN : 3319067583
This book concentrates on the properties of the stationary states in chaotic systems of particles or fluids, leaving aside the theory of the way they can be reached. The stationary states of particles or of fluids (understood as probability distributions on microscopic configurations or on the fields describing continua) have received important new ideas and data from numerical simulations and reviews are needed. The starting point is to find out which time invariant distributions come into play in physics. A special feature of this book is the historical approach. To identify the problems the author analyzes the papers of the founding fathers Boltzmann, Clausius and Maxwell including translations of the relevant (parts of) historical documents. He also establishes a close link between treatment of irreversible phenomena in statistical mechanics and the theory of chaotic systems at and beyond the onset of turbulence as developed by Sinai, Ruelle, Bowen (SRB) and others: the author gives arguments intending to support strongly the viewpoint that stationary states in or out of equilibrium can be described in a unified way. In this book it is the "chaotic hypothesis", which can be seen as an extension of the classical ergodic hypothesis to non equilibrium phenomena, that plays the central role. It is shown that SRB - often considered as a kind of mathematical playground with no impact on physical reality - has indeed a sound physical interpretation; an observation which to many might be new and a very welcome insight. Following this, many consequences of the chaotic hypothesis are analyzed in chapter 3 - 4 and in chapter 5 a few applications are proposed. Chapter 6 is historical: carefully analyzing the old literature on the subject, especially ergodic theory and its relevance for statistical mechanics; an approach which gives the book a very personal touch. The book contains an extensive coverage of current research (partly from the authors and his coauthors publications) presented in enough detail so that advanced students may get the flavor of a direction of research in a field which is still very much alive and progressing. Proofs of theorems are usually limited to heuristic sketches privileging the presentation of the ideas and providing references that the reader can follow, so that in this way an overload of this text with technical details could be avoided.
Author : I. Prigogine
Publisher :
Page : 45 pages
File Size : 16,96 MB
Release : 1955
Category :
ISBN :
Irreversible phenomena in crystals, which are not related to processes involving energy dissipation, are studied. An infinite three-dimensional assembly of narmonic oscillators is studied; their position and velocities are considered as random variables whose probability distributions are known at the initial moment. The asymptotic values of these distribution functions can be calculated by solving the equations of motion of the lattice points in terms of the initial conditions. 'Influence functions' are introduced, which are related to the frequency spectrum of the lattice. The second moments are shown to be quasi-invariant, i.e. they tend to a definite asymtotic value after a more or less complicated variation. No other condition is imposed on the initial distribution functions than the absence of correlation at large distances. If they are such that the equipartition of the energy is initially achieved between the normal modes, without any correlation between their phases, all the various moments and local distribution functions tend to their equilibrium value.
Author : Ian Ford
Publisher : John Wiley & Sons
Page : 290 pages
File Size : 49,4 MB
Release : 2013-03-27
Category : Science
ISBN : 1118597494
This undergraduate textbook provides a statistical mechanical foundation to the classical laws of thermodynamics via a comprehensive treatment of the basics of classical thermodynamics, equilibrium statistical mechanics, irreversible thermodynamics, and the statistical mechanics of non-equilibrium phenomena. This timely book has a unique focus on the concept of entropy, which is studied starting from the well-known ideal gas law, employing various thermodynamic processes, example systems and interpretations to expose its role in the second law of thermodynamics. This modern treatment of statistical physics includes studies of neutron stars, superconductivity and the recently developed fluctuation theorems. It also presents figures and problems in a clear and concise way, aiding the student’s understanding.
Author : Richard Threlkeld Cox
Publisher : Johns Hopkins University Press
Page : 152 pages
File Size : 15,69 MB
Release : 1955
Category : Mathematics
ISBN :
Author : Wilhelm Brenig
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 21,41 MB
Release : 2012-12-06
Category : Science
ISBN : 3642746853
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 : Andrea Puglisi
Publisher : MDPI
Page : 335 pages
File Size : 14,4 MB
Release : 2018-09-04
Category : Mathematics
ISBN : 3038970573
This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy
Author : Byung Chan Eu
Publisher : Springer Science & Business Media
Page : 405 pages
File Size : 19,86 MB
Release : 2013-11-11
Category : Science
ISBN : 9401724385
In this monograph, nonequilibrium statistical mechanics is developed by means of ensemble methods on the basis of the Boltzmann equation, the generic Boltzmann equations for classical and quantum dilute gases, and a generalised Boltzmann equation for dense simple fluids. The theories are developed in forms parallel with the equilibrium Gibbs ensemble theory in a way fully consistent with the laws of thermodynamics. The generalised hydrodynamics equations are the integral part of the theory and describe the evolution of macroscopic processes in accordance with the laws of thermodynamics of systems far removed from equilibrium. Audience: This book will be of interest to researchers in the fields of statistical mechanics, condensed matter physics, gas dynamics, fluid dynamics, rheology, irreversible thermodynamics and nonequilibrium phenomena.