Mathematical Foundations Of Statistical Mechanics

Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
ISBN 13 : 9780486601472
Total Pages : 212 pages
Book Rating : 4.71/5 ( download)

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Download or read book Mathematical Foundations of Statistical Mechanics written by Aleksandr I?Akovlevich Khinchin and published by Courier Corporation. This book was released on 1949-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : D.Ya. Petrina
Publisher : CRC Press
ISBN 13 : 9780415273541
Total Pages : 352 pages
Book Rating : 4.44/5 ( download)

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Download or read book Mathematical Foundations of Classical Statistical Mechanics written by D.Ya. Petrina and published by CRC Press. This book was released on 2002-04-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : O. Penrose
Publisher : Elsevier
ISBN 13 : 1483156486
Total Pages : 272 pages
Book Rating : 4.84/5 ( download)

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Download or read book Foundations of Statistical Mechanics written by O. Penrose and published by Elsevier. This book was released on 2016-09-21 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Natural Philosophy, Volume 22: Foundations of Statistical Mechanics: A Deductive Treatment presents the main approaches to the basic problems of statistical mechanics. This book examines the theory that provides explicit recognition to the limitations on one's powers of observation. Organized into six chapters, this volume begins with an overview of the main physical assumptions and their idealization in the form of postulates. This text then examines the consequences of these postulates that culminate in a derivation of the fundamental formula for calculating probabilities in terms of dynamic quantities. Other chapters provide a careful analysis of the significant notion of entropy, which shows the links between thermodynamics and statistical mechanics and also between communication theory and statistical mechanics. The final chapter deals with the thermodynamic concept of entropy. This book is intended to be suitable for students of theoretical physics. Probability theorists, statisticians, and philosophers will also find this book useful.

Author : Paul Ehrenfest
Publisher : Courier Corporation
ISBN 13 : 0486163148
Total Pages : 128 pages
Book Rating : 4.47/5 ( download)

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Download or read book The Conceptual Foundations of the Statistical Approach in Mechanics written by Paul Ehrenfest and published by Courier Corporation. This book was released on 2014-11-12 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic 1912 article reformulated the foundations of the statistical approach in mechanics. Largely still valid, the treatment covers older formulation of statistico-mechanical investigations, modern formulation of kineto-statistics of the gas model, and more. 1959 edition.

Author : Aleksandr I︠A︡kovlevich Khinchin
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.38/5 ( download)

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Download or read book Mathematical Foundations of Quantum Statistics written by Aleksandr I︠A︡kovlevich Khinchin and published by . This book was released on 1960 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John von Neumann
Publisher : Princeton University Press
ISBN 13 : 9780691028934
Total Pages : 462 pages
Book Rating : 4.31/5 ( download)

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Download or read book Mathematical Foundations of Quantum Mechanics written by John von Neumann and published by Princeton University Press. This book was released on 1955 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revolutionary book that for the first time provided a rigorous mathematical framework for quantum mechanics. -- Google books

Author : W.T. Grandy Jr.
Publisher : Springer Science & Business Media
ISBN 13 : 9400938675
Total Pages : 391 pages
Book Rating : 4.70/5 ( download)

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Download or read book Foundations of Statistical Mechanics written by W.T. Grandy Jr. and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a certain sense this book has been twenty-five years in the writing, since I first struggled with the foundations of the subject as a graduate student. It has taken that long to develop a deep appreciation of what Gibbs was attempting to convey to us near the end of his life and to understand fully the same ideas as resurrected by E.T. Jaynes much later. Many classes of students were destined to help me sharpen these thoughts before I finally felt confident that, for me at least, the foundations of the subject had been clarified sufficiently. More than anything, this work strives to address the following questions: What is statistical mechanics? Why is this approach so extraordinarily effective in describing bulk matter in terms of its constituents? The response given here is in the form of a very definite point of view-the principle of maximum entropy (PME). There have been earlier attempts to approach the subject in this way, to be sure, reflected in the books by Tribus [Thermostat ics and Thermodynamics, Van Nostrand, 1961], Baierlein [Atoms and Information Theory, Freeman, 1971], and Hobson [Concepts in Statistical Mechanics, Gordon and Breach, 1971].

Author : Lawrence Sklar
Publisher : Cambridge University Press
ISBN 13 : 9780521558815
Total Pages : 458 pages
Book Rating : 4.16/5 ( download)

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Download or read book Physics and Chance written by Lawrence Sklar and published by Cambridge University Press. This book was released on 1993 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lawrence Sklar offers a comprehensive, non-technical introduction to statistical mechanics and attempts to understand its foundational elements.

Author : A. Ya. Khinchin
Publisher : Courier Corporation
ISBN 13 : 0486318443
Total Pages : 130 pages
Book Rating : 4.48/5 ( download)

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Download or read book Mathematical Foundations of Information Theory written by A. Ya. Khinchin and published by Courier Corporation. This book was released on 2013-04-09 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.

Author : Dr. Gérard G. Emch
Publisher : Courier Corporation
ISBN 13 : 0486151719
Total Pages : 352 pages
Book Rating : 4.17/5 ( download)

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Download or read book Algebraic Methods in Statistical Mechanics and Quantum Field Theory written by Dr. Gérard G. Emch and published by Courier Corporation. This book was released on 2014-08-04 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This systematic algebraic approach offers a careful formulation of the problems' physical motivations as well as self-contained descriptions of the mathematical methods for arriving at solutions. 1972 edition.