Mathematical Foundations Of Statistical Mechanics
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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.
Mathematical Foundations Of Statistical Mechanics
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Author : Aleksandr I?Akovlevich Khinchin
language : en
Publisher: Courier Corporation
Release Date : 1949-01-01
Mathematical Foundations Of Statistical Mechanics written by Aleksandr I?Akovlevich 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 1949-01-01 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; Ergodic Problem; Reduction to the Problem of the Theory of Probability; Application of the Central Limit Theorem; Ideal Monatomic Gas; The Foundation of Thermodynamics; and more.
Mathematical Foundations Of Statistical Mechanics
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Author : A. Ya. Khinchin
language : en
Publisher: Dover Publications
Release Date : 1949-06-01
Mathematical Foundations Of Statistical Mechanics written by A. Ya. Khinchin and has been published by Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949-06-01 with Mathematics categories.
The translation of this important book brings to the English-speaking mathematician and mathematical physicist a thoroughly up-to-date introduction to statistical mechanics. It offers a precise and mathematically rigorous formulation of the problems of statistical mechanics, as opposed to the non-rigorous discussion presented in most other works. It provides analytical tools needed to replace many of the cumbersome concepts and devices commonly used for establishing basic formulae, and it furnishes the mathematician with a logical step-by-step introduction, which will enable him to master the elements of statistical mechanics in the shortest possible time. After a historical sketch, the author discusses the geometry and kinematics of the phase space, with the theorems of Liouville and Birkhoff; the ergodic problem (in the sense of replacing time averages by phase averages); the theory of probability; central limit theorem; ideal monatomic gas; foundation of thermodynamics, and dispersion and distribution of sum functions. "An excellent introduction to the difficult and important discipline of Statistical Mechanics. It is clear, concise, and rigorous. There is a very good chapter on the ergodic theorem (with a complete proof!) and . . . a highly lucid chapter on statistical foundations of thermodynamics . . . useful to teachers . . . and to mathematicians." ― M. Kac, Quarterly of Applied Mathematics.
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 Foundations Of Statistical Mechanics
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Author : Aleksandr Ja Chinčin
language : en
Publisher:
Release Date : 1949
Mathematical Foundations Of Statistical Mechanics written by Aleksandr Ja Chinčin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with categories.
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 Mathematics 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
Mathematical Foundations Of Statistical Mechanics
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Author : Aleksandr I︠A︡kovlevich Khinchin
language : en
Publisher:
Release Date : 1964
Mathematical Foundations Of Statistical Mechanics written by Aleksandr I︠A︡kovlevich Khinchin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Statistical mechanics categories.
Mathematical Foundations Of Statistical Mechanics
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Author : A. Khinchin
language : en
Publisher:
Release Date : 2014-06-08
Mathematical Foundations Of Statistical Mechanics written by A. Khinchin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-08 with Science categories.
2014 Reprint of 1949 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. The translation of this important work brings to the American mathematician and physicist a useful work of statistical mechanics. It offers a precise and mathematically satisfactory formulation of the problems of statistical mechanics and provides the analytic tools needed to replace many of the cumbersome concepts and devices commonly found in more basic works on the subject. And above all, it furnishes the mathematician approaching the subject for the first time with a logical, step-by-step introduction, written in mathematical terms, to aid in mastering the subject in the shortest possible time. Contents Include: Geometry and kinematics of the phase space. -- Ergodic problem. -- Reduction to the problem of the theory of probability. -- Application of the central limit theorem. -- Ideal monatomic gas. -- The foundation of thermodynamics. -- Dispersion and the distributions of sum functions. Aleksandr Khinchin was a Soviet mathematician and one of the most significant people in the Soviet school of probability theory.
Mathematical Foundations Of Statistical Mechanics
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Author : K. K. Tiwari (College principal)
language : en
Publisher:
Release Date : 2019
Mathematical Foundations Of Statistical Mechanics written by K. K. Tiwari (College principal) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Continuum mechanics categories.
Statistical Mechanics And Fractals
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Author : Roland L. Dobrushin
language : en
Publisher: Springer
Release Date : 2006-11-15
Statistical Mechanics And Fractals written by Roland L. Dobrushin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
This book is composed of two texts, by R.L. Dobrushin and S. Kusuoka, each representing the content of a course of lectures given by the authors. They are pitched at graduate student level and are thus very accessible introductions to their respective subjects for students and non specialists. CONTENTS: R.L. Dobrushin: On the Way to the Mathematical Foundations of Statistical Mechanics.- S. Kusuoka: Diffusion Processes on Nested Fractals.