Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems
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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.).
Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems
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Author : Bohdan Lev
language : en
Publisher:
Release Date : 2021
Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems written by Bohdan Lev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Field theory (Physics) 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.)"--
Nonequilibrium Quantum Field Theory
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Author : Esteban A. Calzetta
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-09
Nonequilibrium Quantum Field Theory written by Esteban A. Calzetta 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 2023-02-09 with Science categories.
This 2008 book, reissued as OA, captures the essence of nonequilibrium quantum field theory, graduate students and researchers.
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.
Non Equilibrium Statistical Physics With Application To Disordered Systems
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Author : Manuel Osvaldo Cáceres
language : en
Publisher: Springer
Release Date : 2017-03-07
Non Equilibrium Statistical Physics With Application To Disordered Systems written by Manuel Osvaldo Cáceres and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-07 with Science categories.
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.
Statistical Physics Ii
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Author : R. Kubo
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Statistical Physics Ii written by R. Kubo 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.
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.
Field Theory Of Non Equilibrium Systems
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Author : Alex Kamenev
language : en
Publisher:
Release Date : 2014-05-14
Field Theory Of Non Equilibrium Systems written by Alex Kamenev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Condensed matter categories.
Step-by-step treatment of the modern functional approach to non-equilibrium field-theoretical methods for graduate students and researchers in condensed matter physics.
Nonequilibrium Many Body Theory Of Quantum Systems
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Author : Gianluca Stefanucci
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-07
Nonequilibrium Many Body Theory Of Quantum Systems written by Gianluca Stefanucci 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 2013-03-07 with Science categories.
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.
Nonequilibrium Statistical Mechanics In One Dimension
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Author : Vladimir Privman
language : en
Publisher: Cambridge University Press
Release Date : 1997-02-20
Nonequilibrium Statistical Mechanics In One Dimension written by Vladimir Privman 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 1997-02-20 with Science categories.
Self-contained and up-to-date guide to one-dimensional reactions, dynamics, diffusion and adsorption.
Nonequilibrium Statistical Physics
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Author : Roberto Livi
language : en
Publisher: Cambridge University Press
Release Date : 2025-07-03
Nonequilibrium Statistical Physics written by Roberto Livi 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 2025-07-03 with Science categories.
Statistical mechanics is hugely successful when applied to physical systems at thermodynamic equilibrium; however, most natural phenomena occur in nonequilibrium conditions and more sophisticated techniques are required to address this increased complexity. This second edition presents a comprehensive overview of nonequilibrium statistical physics, covering essential topics such as Langevin equations, Lévy processes, fluctuation relations, transport theory, directed percolation, kinetic roughening, and pattern formation. The first part of the book introduces the underlying theory of nonequilibrium physics, the second part develops key aspects of nonequilibrium phase transitions, and the final part covers modern applications. A pedagogical approach has been adopted for the benefit of graduate students and instructors, with clear language and detailed figures used to explain the relevant models and experimental results. With the inclusion of original material and organizational changes throughout the book, this updated edition will be an essential guide for graduate students and researchers in nonequilibrium thermodynamics.