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.
Download or read book Equilibrium and Non Equilibrium Statistical Thermodynamics written by Michel Le Bellac and published by Cambridge University Press. This book was released on 2004-04-08 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Download or read book Non equilibrium Thermodynamics and Statistical Mechanics written by Phil Attard and published by OUP Oxford. This book was released on 2012-10-04 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: `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.
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.
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.
Download or read book Equilibrium and Non Equilibrium Statistical Mechanics written by Radu Balescu and published by Wiley-Interscience. This book was released on 1975-05-14 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Nonequilibrium Statistical Physics written by Roberto Livi and published by Cambridge University Press. This book was released on 2017-10-05 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and pedagogical text on nonequilibrium statistical physics, covering topics from random walks to pattern formation.
Download or read book Non equilibrium Statistical Mechanics and Turbulence written by John Cardy and published by Cambridge University Press. This book was released on 2008-12-11 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.
Download or read book Non equilibrium Statistical Thermodynamics written by Xavier de Hemptinne and published by World Scientific. This book was released on 1992 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book stresses the role of uncorrelated exchange of properties between macroscopic systems and their surroundings as the only source of dynamic irreversibility. To that end, fundamentals of statistical thermodynamics extended to the non-equilibrium are worked out carefully. The principles are then applied to selected problems in classical fluid dynamics. Transport coefficients are first derived from basic laws. This is followed by a full discussion of transitions to dissipative structures in selected systems far removed from equilibrium (Bnard and Taylor vortices, calculation of the critical Reynolds number for transition to turbulence in Poiseuille flow). The final part focuses on interaction of matter with light. Fundamentals are extended towards quantum-mechanical systems. Applied to coherent radiation and its interaction with matter, the proposed thermodynamic treatment introduces an original discussion into the quantum nature of micro-physics.The book questions and reconsiders a deeply rooted paradigm in macroscopic dynamics concerning the cause of irreversibility. The new proposal is illustrated by application to a couple of well documented non-equilibrium domains, namely fluid dynamics and laser physics.
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 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 Statistical Physics of Non Equilibrium Quantum Phenomena written by Yves Pomeau and published by Springer Nature. This book was released on 2019-11-29 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Non equilibrium Statistical Physics with Application to Disordered Systems written by Manuel Osvaldo Cáceres and published by Springer. This book was released on 2017-03-07 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is the result of the enhancement of several courses on non-equilibrium statistics, stochastic processes, stochastic differential equations, anomalous diffusion and disorder. The target audience includes students of physics, mathematics, biology, chemistry, and engineering at undergraduate and graduate level with a grasp of the basic elements of mathematics and physics of the fourth year of a typical undergraduate course. The little-known physical and mathematical concepts are described in sections and specific exercises throughout the text, as well as in appendices. Physical-mathematical motivation is the main driving force for the development of this text. It presents the academic topics of probability theory and stochastic processes as well as new educational aspects in the presentation of non-equilibrium statistical theory and stochastic differential equations.. In particular it discusses the problem of irreversibility in that context and the dynamics of Fokker-Planck. An introduction on fluctuations around metastable and unstable points are given. It also describes relaxation theory of non-stationary Markov periodic in time systems. The theory of finite and infinite transport in disordered networks, with a discussion of the issue of anomalous diffusion is introduced. Further, it provides the basis for establishing the relationship between quantum aspects of the theory of linear response and the calculation of diffusion coefficients in amorphous systems.
Download or read book An Introduction to Chaos in Nonequilibrium Statistical Mechanics written by J. R. Dorfman and published by Cambridge University Press. This book was released on 1999-08-28 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to applications and techniques in non-equilibrium statistical mechanics of chaotic dynamics.
Download or read book Nonequilibrium Statistical Mechanics written by Gene Mazenko and published by John Wiley & Sons. This book was released on 2006-12-15 with total page 500 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.
Download or read book Statistical Physics I written by Morikazu Toda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical Physics I discusses the fundamentals of equilibrium statistical mechanics, focussing on basic physical aspects. No previous knowledge of thermodynamics or the molecular theory of gases is assumed. Illustrative examples based on simple materials and photon systems elucidate the central ideas and methods.
