Mathematical Aspects Of Statistical Mechanics
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Mathematical Aspects Of Statistical Mechanics
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Author : James C. T. Pool
language : en
Publisher: American Mathematical Soc.
Release Date : 1972
Mathematical Aspects Of Statistical Mechanics written by James C. T. Pool and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
Statistical Mechanics And Field Theory Mathematical Aspects
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Author : T.C. Dorlas
language : en
Publisher: Springer
Release Date : 1986-08
Statistical Mechanics And Field Theory Mathematical Aspects written by T.C. Dorlas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-08 with Science categories.
Statistical Mechanics And Field Theory
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Author : Teunis Christiaan Dorlas
language : en
Publisher: Springer
Release Date : 1986
Statistical Mechanics And Field Theory written by Teunis Christiaan Dorlas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Particles (Nuclear physics) categories.
Mathematical Foundations Of Statistical Mechanics
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Author : A. Ya. Khinchin
language : en
Publisher: Courier Corporation
Release Date : 2013-01-17
Mathematical Foundations Of Statistical Mechanics written by A. Ya. Khinchin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-17 with Mathematics categories.
Phase space, ergodic problems, central limit theorem, dispersion and distribution of sum functions. Chapters include Geometry and Kinematics of the Phase Space; Reduction to the Problem of the Theory of Probability; and more.
Statistical Mechanics Made Simple
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Author : Daniel Charles Mattis
language : en
Publisher: World Scientific
Release Date : 2003
Statistical Mechanics Made Simple written by Daniel Charles Mattis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
Elementary concepts in statistics and probability - The ising model and the lattice gas - Elements of thermodynamics - Statistical mechanics - The world of bosons - All about fermions : theories of metals, superconductors, semiconductors - Kinetic theory - The transfer matrix - Some uses of quantum field theory in statistical physics.
Entropy Large Deviations And Statistical Mechanics
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Author : Richard S. Ellis
language : en
Publisher: Taylor & Francis
Release Date : 2006
Entropy Large Deviations And Statistical Mechanics written by Richard S. Ellis and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
From the reviews: "... Besides the fact that the author's treatment of large deviations is a nice contribution to the literature on the subject, his book has the virue that it provides a beautifully unified and mathematically appealing account of certain aspects of statistical mechanics. ... Furthermore, he does not make the mistake of assuming that his mathematical audience will be familiar with the physics and has done an admireable job of explaining the necessary physical background. Finally, it is clear that the author's book is the product of many painstaking hours of work; and the reviewer is confident that its readers will benefit from his efforts." D. Stroock in Mathematical Reviews 1985 "... Each chapter of the book is followed by a notes section and by a problems section. There are over 100 problems, many of which have hints. The book may be recommended as a text, it provides a completly self-contained reading ..." S. Pogosian in Zentralblatt für Mathematik 1986
Mathematical Statistical Mechanics
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Author : Colin J. Thompson
language : en
Publisher: Princeton University Press
Release Date : 2015-03-08
Mathematical Statistical Mechanics written by Colin J. Thompson and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-08 with Science categories.
While most introductions to statistical mechanics are either too mathematical or too physical, Colin Thompson's book combines mathematical rigor with familiar physical materials. Following introductory chapters on kinetic theory, thermodynamics, the Gibbs ensembles, and the thermodynamic limit, later chapters discuss the classical theories of phase transitions, the Ising model, algebraic methods and combinatorial methods for solving the two-dimensional model in zero field, and some applications of the Ising model to biology. Originally published in 1979. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Mathematical Foundations Of Classical Statistical Mechanics
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Author : D.Ya. Petrina
language : en
Publisher: CRC Press
Release Date : 2002-04-11
Mathematical Foundations Of Classical Statistical Mechanics written by D.Ya. Petrina and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-11 with Science categories.
This monograph considers systems of infinite number of particles, in particular the justification of the procedure of thermodynamic limit transition. The authors discuss the equilibrium and non-equilibrium states of infinite classical statistical systems. Those states are defined in terms of stationary and nonstationary solutions to the Bogolyubov equations for the sequences of correlation functions in the thermodynamic limit. This is the first detailed investigation of the thermodynamic limit for non-equilibrium systems and of the states of infinite systems in the cases of both canonical and grand canonical ensembles, for which the thermodynamic equivalence is proved. A comprehensive survey of results is also included; it concerns the properties of correlation functions for infinite systems and the corresponding equations. For this new edition, the authors have made changes to reflect the development of theory in the last ten years. They have also simplified certain sections, presenting them more systematically, and greatly increased the number of references. The book is aimed at theoretical physicists and mathematicians and will also be of use to students and postgraduate students in the field.
Mathematical Aspects Of Classical And Celestial Mechanics
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Author : Vladimir I. Arnold
language : en
Publisher: Springer
Release Date : 2006-10-06
Mathematical Aspects Of Classical And Celestial Mechanics written by Vladimir I. Arnold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-06 with Mathematics categories.
The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.
Methods Of Contemporary Mathematical Statistical Physics
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Author : Marek Biskup
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-25
Methods Of Contemporary Mathematical Statistical Physics written by Marek Biskup 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 2009-03-25 with Mathematics categories.
This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. An introductory chapter on lattice spin models is useful as a background for other lectures of the collection. The topics include new results on phase transitions for gradient lattice models (with introduction to the techniques of the reflection positivity), stochastic geometry reformulation of classical and quantum Ising models, the localization/delocalization transition for directed polymers. A general rigorous framework for theory of metastability is presented and particular applications in the context of Glauber and Kawasaki dynamics of lattice models are discussed. A pedagogical account of several recently discussed topics in nonequilibrium statistical mechanics with an emphasis on general principles is followed by a discussion of kinetically constrained spin models that are reflecting important peculiar features of glassy dynamics.