Axiomatics Of Classical Statistical Mechanics
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Axiomatics Of Classical Statistical Mechanics
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Author : Rudolf Kurth
language : en
Publisher: Courier Dover Publications
Release Date : 2019-04-17
Axiomatics Of Classical Statistical Mechanics written by Rudolf Kurth and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-17 with Science categories.
Requiring only familiarity with elements of calculus and analytical geometry, this monograph constructs classical statistical mechanics as a deductive system, based on equations of motion and basic postulates of probability. 1960 edition.
Axiomatics Of Classical Statistical Mechanics
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Author : Rudolf Kurth
language : en
Publisher: Courier Dover Publications
Release Date : 2019-03-20
Axiomatics Of Classical Statistical Mechanics written by Rudolf Kurth and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-20 with Science categories.
This monograph constructs classical statistical mechanics as a deductive system, based on the equations of motion and the basic postulates of probability. The treatment consists chiefly of theorems and proofs that are expressed in a manner that reveals the theory's logical structure. Requiring only familiarity with the elements of calculus and analytical geometry, Axiomatics of Classical Statistical Mechanics is geared toward advanced undergraduates and graduate students in mathematical physics. An opening chapter on mathematical tools makes the text as self-contained as possible. Subsequent chapters explore the phase flows of mechanical systems, the initial distribution of probability in the phase space, and both time-dependent and time-independent probability distributions. A final chapter covers statistical thermodynamics.
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
Statistical Mechanics Of Classical And Disordered Systems
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Author : Véronique Gayrard
language : en
Publisher: Springer Nature
Release Date : 2019-09-15
Statistical Mechanics Of Classical And Disordered Systems written by Véronique Gayrard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-15 with Mathematics categories.
These proceedings of the conference Advances in Statistical Mechanics, held in Marseille, France, August 2018, focus on fundamental issues of equilibrium and non-equilibrium dynamics for classical mechanical systems, as well as on open problems in statistical mechanics related to probability, mathematical physics, computer science, and biology. Statistical mechanics, as envisioned more than a century ago by Boltzmann, Maxwell and Gibbs, has recently undergone stunning twists and developments which have turned this old discipline into one of the most active areas of truly interdisciplinary and cutting-edge research. The contributions to this volume, with their rather unique blend of rigorous mathematics and applications, outline the state-of-the-art of this success story in key subject areas of equilibrium and non-equilibrium classical and quantum statistical mechanics of both disordered and non-disordered systems. Aimed at researchers in the broad field of applied modern probability theory, this book, and in particular the review articles, will also be of interest to graduate students looking for a gentle introduction to active topics of current research.
Mathematical Physics Ii Classical Statistical Mechanics
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Author : Matteo Petrera
language : en
Publisher: Logos Verlag Berlin GmbH
Release Date : 2014
Mathematical Physics Ii Classical Statistical Mechanics written by Matteo Petrera and has been published by Logos Verlag Berlin GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
These Lecture Notes provide an introduction to classical statistical mechanics. The first part presents classical results, mainly due to L. Boltzmann and J.W. Gibbs, about equilibrium statistical mechanics of continuous systems. Among the topics covered are: kinetic theory of gases, ergodic problem, Gibbsian formalism, derivation of thermodynamics, phase transitions and thermodynamic limit. The second part is devoted to an introduction to the study of classical spin systems with special emphasis on the Ising model. The material is presented in a way that is at once intuitive, systematic and mathematically rigorous. The theoretical part is supplemented with concrete examples and exercises.
Statistical Mechanics
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Author : Giovanni Gallavotti
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-07-21
Statistical Mechanics written by Giovanni Gallavotti 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 1999-07-21 with Science categories.
This clear book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasises the relation between microscopic reversibility and macroscopic irreversibility, explaining fundamental concepts in detail.
A Brief Introduction To Classical Statistical And Quantum Mechanics
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Author : Oliver Bühler
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
A Brief Introduction To Classical Statistical And Quantum Mechanics written by Oliver Bühler 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 2006 with Mathematics categories.
Mathematical Foundations Of Quantum Statistical Mechanics
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Author : D.Y. Petrina
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Foundations Of Quantum Statistical Mechanics written by D.Y. Petrina 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 monograph is devoted to quantum statistical mechanics. It can be regarded as a continuation of the book "Mathematical Foundations of Classical Statistical Mechanics. Continuous Systems" (Gordon & Breach SP, 1989) written together with my colleagues V. I. Gerasimenko and P. V. Malyshev. Taken together, these books give a complete pre sentation of the statistical mechanics of continuous systems, both quantum and classical, from the common point of view. Both books have similar contents. They deal with the investigation of states of in finite systems, which are described by infinite sequences of statistical operators (reduced density matrices) or Green's functions in the quantum case and by infinite sequences of distribution functions in the classical case. The equations of state and their solutions are the main object of investigation in these books. For infinite systems, the solutions of the equations of state are constructed by using the thermodynamic limit procedure, accord ing to which we first find a solution for a system of finitely many particles and then let the number of particles and the volume of a region tend to infinity keeping the density of particles constant. However, the style of presentation in these books is quite different.
Classical Statistical Mechanics
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Author : L. Rosenfeld
language : en
Publisher:
Release Date : 1953
Classical Statistical Mechanics written by L. Rosenfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.
Classical Statistical Mechanics
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Author : G.A. Martynov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Classical Statistical Mechanics written by G.A. Martynov 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.
Statistical mechanics deals with systems in which chaos and randomness reign supreme. The current theory is therefore firmly based on the equations of classical mechanics and the postulates of probability theory. This volume seeks to present a unified account of classical mechanical statistics, rather than a collection of unconnected reviews on recent results. To help achieve this, one element is emphasised which integrates various parts of the prevailing theory into a coherent whole. This is the hierarchy of the BBGKY equations, which enables a relationship to be established between the Gibbs theory, the liquid theory, and the theory of nonequilibrium phenomena. As the main focus is on the complex theoretical subject matter, attention to applications is kept to a minimum. The book is divided into three parts. The first part describes the fundamentals of the theory, embracing chaos in dynamic systems and distribution functions of dynamic systems. Thermodynamic equilibrium, dealing with Gibbs statistical mechanics and the statistical mechanics of liquids, forms the second part. Lastly, the third part concentrates on kinetics, and the theory of nonequilibrium gases and liquids in particular. Audience: This book will be of interest to graduate students and researchers whose work involves thermophysics, theory of surface phenomena, theory of chemical reactions, physical chemistry and biophysics.