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Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems

Applications Of Field Theory Methods In Statistical Physics Of Nonequilibrium Systems
Author: Bohdan I Lev
Publisher: World Scientific
Total Pages: 352
Release: 2021-02-18
Genre: Science
ISBN: 9811229996

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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

Applications of Field Theory Methods in Statistical Physics of Nonequilibrium Systems
Author: Bohdan Lev
Publisher:
Total Pages:
Release: 2021
Genre: Field theory (Physics)
ISBN: 9789811229985

Download Applications of Field Theory Methods in Statistical Physics of Nonequilibrium Systems Book in PDF, ePub and Kindle

"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.)"--


Quantum Field Theory of Non-equilibrium States

Quantum Field Theory of Non-equilibrium States
Author: Jørgen Rammer
Publisher: Cambridge University Press
Total Pages: 0
Release: 2011-03-03
Genre: Science
ISBN: 9780521188005

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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 Thermodynamics and Statistical Mechanics

Non-equilibrium Thermodynamics and Statistical Mechanics
Author: Phil Attard
Publisher: OUP Oxford
Total Pages: 480
Release: 2012-10-04
Genre: Science
ISBN: 019163977X

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`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.


Nonequilibrium Quantum Field Theory

Nonequilibrium Quantum Field Theory
Author: Esteban A. Calzetta
Publisher: Cambridge University Press
Total Pages: 553
Release: 2023-01-31
Genre: Science
ISBN: 1009289985

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This 2008 book, reissued as OA, captures the essence of nonequilibrium quantum field theory, graduate students and researchers.


Applications of Statistical and Field Theory Methods to Condensed Matter

Applications of Statistical and Field Theory Methods to Condensed Matter
Author: Dionys Baeriswyl
Publisher: Springer Science & Business Media
Total Pages: 394
Release: 2012-12-06
Genre: Science
ISBN: 1468457632

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There is no doubt that we have, during the last decade, moved into a "golden age" of condensed matter science. The sequence of discoveries of novel new states of matter and their rapid assimilation into experimental and theoretical research, as well as devices, has been remarkable. To name but a few: spin glasses; incommensurate, fractal, quasicrystal structures; synthetic metals; quantum well fabrication; fractional quantum Hall effect: solid state chaos; heavy fermions; and most spectacularly high-temperature superconductivity. This rapid evolution has been marked by the need to address the reality of materials in "extreme" conditions - - disordered, nonlinear systems in reduced dimensions, restricted geometries and at mesoscopic scales, often with striking competitions between several length and frequency scales, and between strong electron-phonon and electron-electron interactions. In such new territory it is not surprising that very interdisciplinary approaches are being explored and traditional boundaries between subjects and disciplines re-defined. In theory, this is evident, for instance, in attempts: (1) to advance the state of the art for elec tronic structure calculations so as to handle strongly interacting many-body systems and delicate competitions for collective ground states (spin models or many-electron Hamiltoni ans, field theory, band structure, quantum chemistry and numerical approaches); or (2) to understand pattern formation and complex (including chaotic) dynamics in extended sys tems. This demands close involvement with applied mathematics, numerical simulations and statistical mechanics techniques.


Nonequilibrium Statistical Physics of Small Systems

Nonequilibrium Statistical Physics of Small Systems
Author: Rainer Klages
Publisher: John Wiley & Sons
Total Pages: 402
Release: 2013-03-15
Genre: Science
ISBN: 3527658726

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This book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems. Written by internationally recognized experts in the field, this book strikes a balance between theory and experiment, and includes in-depth introductions to nonequilibrium fluctuation relations, nonlinear dynamics and transport, single molecule experiments, and molecular diffusion in nanopores. The authors explore the application of these concepts to nano- and biosystems by cross-linking key methods and ideas from nonequilibrium statistical physics, thermodynamics, stochastic theory, and dynamical systems. By providing an up-to-date survey of small systems physics, the text serves as both a valuable reference for experienced researchers and as an ideal starting point for graduate-level students entering this newly emerging research field.


Field Theory of Non-Equilibrium Systems

Field Theory of Non-Equilibrium Systems
Author: Alex Kamenev
Publisher: Cambridge University Press
Total Pages:
Release: 2011-09-08
Genre: Science
ISBN: 1139500295

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The physics of non-equilibrium many-body systems is one of the most rapidly expanding areas of theoretical physics. Traditionally used in the study of laser physics and superconducting kinetics, these techniques have more recently found applications in the study of dynamics of cold atomic gases, mesoscopic and nano-mechanical systems. The book gives a self-contained presentation of the modern functional approach to non-equilibrium field-theoretical methods. They are applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. Its step-by-step treatment gives particular emphasis to the pedagogical aspects, making it ideal as a reference for advanced graduate students and researchers in condensed matter physics.


Methods of Quantum Field Theory in Statistical Physics

Methods of Quantum Field Theory in Statistical Physics
Author: A. A. Abrikosov
Publisher: Courier Corporation
Total Pages: 384
Release: 2012-05-04
Genre: Science
ISBN: 0486140156

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This comprehensive introduction to the many-body theory was written by three renowned physicists and acclaimed by American Scientist as "a classic text on field theoretic methods in statistical physics."


Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems

Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems
Author: Werner Ebeling
Publisher: World Scientific
Total Pages: 344
Release: 2005
Genre: Science
ISBN: 9810213824

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This book presents both the fundamentals and the major research topics in statistical physics of systems out of equilibrium. It summarizes different approaches to describe such systems on the thermodynamic and stochastic levels, and discusses a variety of areas including reactions, anomalous kinetics, and the behavior of self-propelling particles.