Statistical Physics Of Non Equilibrium Quantum Phenomena
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Statistical Physics Of Non Equilibrium Quantum Phenomena
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Author : Yves Pomeau
language : en
Publisher: Springer Nature
Release Date : 2019-11-29
Statistical Physics Of Non Equilibrium Quantum Phenomena written by Yves Pomeau and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-29 with Science categories.
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.
Frontiers Of Nonequilibrium Statistical Physics
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Author : Gerald T. Moore
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Frontiers Of Nonequilibrium Statistical Physics written by Gerald T. Moore and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The four-week period fran May 20 to June 16, 1984 was an intensive period of advanced study on the foundations and frontiers of nonequili brium statistical physics (NSP). During the first two weeks of this period, an advanced-study course on the "Foundations of NSP" was con ducted in Albuquerque under the sponsorship of the University of New Mexico Center for High-Technology Materials. This was followed by a two-week NATO Advanced Study Insti tute on the "Frontiers of NSP" in Santa Fe under the same directorship. Many Students attended both meetings. This book comprises proceedings based on those lectures and covering a broad spectrum of topics in NSP ranging fran basic problems in quantum measurement theory to analogies between lasers and Darwinian evolution. The various types of quantum distribution functions and their uses are treated by several authors. other tools of NSP, such as Langevin equations, Fokker-Planck equations, and master equations, are developed and applied to areas such as laser physics, plasma physics, Brownian motion, and hydrodynamic instabilities. The properties and experimental detection of squeezed states and antibunching are described, as well as experimental tests of the violation of Bell's inequality. Information theory, mean-field theory, reservoir theory, entropy maximization, and even a novel nonlinear generalization of quantum mechanics are used to discuss nonequilibrium phenanena and the approach toward thermodynamic equilibrium.
Statistical Mechanics
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Author : Franz Schwabl
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Statistical Mechanics written by Franz Schwabl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
This unique and consistent mathematical treatise contains a deductive description of equilibrium statistics and thermodynamics. The most important elements of non-equilibrium phenomena are also treated. In addition to the fundamentals, the text tries to show how large the area of statistical mechanics is and how many applications can be found here. Modern areas such as renormalization group theory, percolation, stochastic equations of motion and their applications in critical dynamics, as well as fundamental thoughts of irreversibility are discussed. The text will be useful for advanced students in physics and other sciences who have profound knowledge of quantum mechanics.
Introduction To Non Equilibrium Quantum Statistical Mechanics
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Author : Shigeji Fujita
language : en
Publisher:
Release Date : 1983
Introduction To Non Equilibrium Quantum Statistical Mechanics written by Shigeji Fujita and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Science categories.
Quantum Statistical Mechanics
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Author : Phil Attard
language : en
Publisher:
Release Date : 2015
Quantum Statistical Mechanics written by Phil Attard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Equilibrium categories.
This book establishes the foundations of non-equilibrium quantum statistical mechanics in order to support students and academics in developing and building their understanding. The formal theory is derived from first principles by mathematical analysis, with concrete physical interpretations and worked examples throughout. It explains the central role of entropy; it's relation to the probability operator and the generalisation to transitions, as well as providing first principles derivation of the von Neumann trace form, the Maxwell-Boltzmann form and the Schrödinger equation.
Quantum Statistical Mechanics
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Author : Phil Attard
language : en
Publisher:
Release Date : 2014-12-15
Quantum Statistical Mechanics written by Phil Attard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-15 with categories.
This book provides a clear and self-contained exposition of quantum statistical mechanics, focussing on the foundations. The unifying theme is the statistical entropy, as modified for quantum systems. From this is derived the conventional expressions for equilibrium quantum statistical mechanics, and, most exciting, their extension to non-equilibrium, time-dependent systems. A unified treatment of the equilibrium and non-equilibrium fields is given based upon the conservation laws, time symmetries, and the second law of thermodynamics. One theme of the book is the collapse of the wave function of an open quantum system, which leads to the Maxwell-Boltzmann probability operator, its relationship to the density matrix, and the von Neumann trace expression for a statistical average. A second theme is the development of the appropriate entropy for quantum systems, which, in conjunction with the second law, gives the stochastic, dissipative Schrdinger equation for an open quantum system and the fluctuation-dissipation theorem for the time propagator. A final theme is the derivation of the probability operator for non-equilibrium systems and irreversible processes, which lies at the cutting edge of modern research.
Quantum Field Theory Of Non Equilibrium States
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Author : Jørgen Rammer
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-03
Quantum Field Theory Of Non Equilibrium States written by Jørgen Rammer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-03 with Science categories.
Quantum field theory is the application of quantum mechanics to systems with infinitely many degrees of freedom. This 2007 textbook presents quantum field theoretical applications to systems out of equilibrium. It introduces the real-time approach to non-equilibrium statistical mechanics and the quantum field theory of non-equilibrium states in general. It offers two ways of learning how to study non-equilibrium states of many-body systems: the mathematical canonical way and an easy intuitive way using Feynman diagrams. The latter provides an easy introduction to the powerful functional methods of field theory, and the use of Feynman diagrams to study classical stochastic dynamics is considered in detail. The developed real-time technique is applied to study numerous phenomena in many-body systems. Complete with numerous exercises to aid self-study, this textbook is suitable for graduate students in statistical mechanics and condensed matter physics.
Quantum Statistical Mechanics
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Author : P Attard
language : en
Publisher: Myprint
Release Date : 2015-10-29
Quantum Statistical Mechanics written by P Attard and has been published by Myprint this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-29 with categories.
Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems
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Author : Bohdan I Lev
language : en
Publisher: World Scientific
Release Date : 2021-02-18
Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems written by Bohdan I Lev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-18 with Science categories.
This book formulates a unified approach to the description of many-particle systems combining the methods of statistical physics and quantum field theory. The benefits of such an approach are in the description of phase transitions during the formation of new spatially inhomogeneous phases, as well in describing quasi-equilibrium systems with spatially inhomogeneous particle distributions (for example, self-gravitating systems) and metastable states.The validity of the methods used in the statistical description of many-particle systems and models (theory of phase transitions included) is discussed and compared. The idea of using the quantum field theory approach and related topics (path integration, saddle-point and stationary-phase methods, Hubbard-Stratonovich transformation, mean-field theory, and functional integrals) is described in detail to facilitate further understanding and explore more applications.To some extent, the book could be treated as a brief encyclopedia of methods applicable to the statistical description of spatially inhomogeneous equilibrium and metastable particle distributions. Additionally, the general approach is not only formulated, but also applied to solve various practically important problems (gravitating gas, Coulomb-like systems, dusty plasmas, thermodynamics of cellular structures, non-uniform dynamics of gravitating systems, etc.).
Equilibrium And Non Equilibrium Statistical Mechanics
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Author : Carolyn M. Van Vliet
language : en
Publisher: World Scientific
Release Date : 2008
Equilibrium And Non Equilibrium Statistical Mechanics written by Carolyn M. Van Vliet and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
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.