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Foundations of Statistical Mechanics

Foundations of Statistical Mechanics
Author: O. Penrose
Publisher: Elsevier
Total Pages: 272
Release: 2016-09-21
Genre: Science
ISBN: 1483156486

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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.


Mathematical Foundations of Statistical Mechanics

Mathematical Foundations of Statistical Mechanics
Author: Aleksandr I?Akovlevich Khinchin
Publisher: Courier Corporation
Total Pages: 212
Release: 1949-01-01
Genre: Mathematics
ISBN: 9780486601472

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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.


The Conceptual Foundations of the Statistical Approach in Mechanics

The Conceptual Foundations of the Statistical Approach in Mechanics
Author: Paul Ehrenfest
Publisher: Courier Corporation
Total Pages: 128
Release: 2014-11-12
Genre: Science
ISBN: 0486163148

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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.


Physics and Chance

Physics and Chance
Author: Lawrence Sklar
Publisher: Cambridge University Press
Total Pages: 458
Release: 1993
Genre: Philosophy
ISBN: 9780521558815

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Lawrence Sklar offers a comprehensive, non-technical introduction to statistical mechanics and attempts to understand its foundational elements.


Foundations of Statistical Mechanics

Foundations of Statistical Mechanics
Author: W.T. Grandy Jr.
Publisher: Springer Science & Business Media
Total Pages: 391
Release: 2012-12-06
Genre: Science
ISBN: 9400938675

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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].


The Road to Maxwell's Demon

The Road to Maxwell's Demon
Author: Meir Hemmo
Publisher: Cambridge University Press
Total Pages: 341
Release: 2012-09-20
Genre: Science
ISBN: 1107019680

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A philosophical perspective to statistical mechanics for graduate students and researchers in the foundations and philosophy of physics.


The Principles of Statistical Mechanics

The Principles of Statistical Mechanics
Author: Richard Chace Tolman
Publisher: Courier Corporation
Total Pages: 700
Release: 1979-01-01
Genre: Science
ISBN: 9780486638966

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This is the definitive treatise on the fundamentals of statistical mechanics. A concise exposition of classical statistical mechanics is followed by a thorough elucidation of quantum statistical mechanics: postulates, theorems, statistical ensembles, changes in quantum mechanical systems with time, and more. The final two chapters discuss applications of statistical mechanics to thermodynamic behavior. 1930 edition.


Foundations of Classical and Quantum Statistical Mechanics

Foundations of Classical and Quantum Statistical Mechanics
Author: R. Jancel
Publisher: Elsevier
Total Pages: 441
Release: 2013-10-22
Genre: Science
ISBN: 1483186261

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Foundations of Classical and Quantum Statistical Mechanics details the theoretical foundation the supports the concepts in classical and quantum statistical mechanics. The title discusses the various problems set by the theoretical justification of statistical mechanics methods. The text first covers the the ergodic theory in classical statistical mechanics, and then proceeds to tackling quantum mechanical ensembles. Next, the selection discusses the the ergodic theorem in quantum statistical mechanics and probability quantum ergodic theorems. The selection also details H-theorems and kinetic equations in classical and quantum statistical mechanics. The book will be of great interest to students, researchers, and practitioners of physics, chemistry, and engineering.


Mathematical Foundations of Statistical Mechanics

Mathematical Foundations of Statistical Mechanics
Author: Aleksandr I?Akovlevich Khinchin
Publisher: Courier Corporation
Total Pages: 210
Release: 1949-01-01
Genre: Mathematics
ISBN: 0486601471

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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.


Principles of Thermodynamics and Statistical Mechanics

Principles of Thermodynamics and Statistical Mechanics
Author: D. F. Lawden
Publisher: Courier Corporation
Total Pages: 295
Release: 2013-01-18
Genre: Science
ISBN: 0486152243

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A thorough exploration of the universal principles of thermodynamics and statistical mechanics, this volume takes an applications-oriented approach to a multitude of situations arising in physics and engineering. 1987 edition.