Foundations Of Statistical Mechanics

Foundations of Statistical Mechanics PDF
Author: Walter Grandy
Publisher: Springer Science & Business Media
ISBN: 9789027724892
Size: 68.15 MB
Format: PDF, Mobi
Category : Science
Languages : un
Pages : 380
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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].

Foundations Of Statistical Mechanics

Foundations of Statistical Mechanics PDF
Author: O. Penrose
Publisher: Elsevier
ISBN: 1483156486
Size: 71.61 MB
Format: PDF, Docs
Category : Science
Languages : un
Pages : 270
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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 PDF
Author: A. Khinchin
Publisher:
ISBN: 9781614276425
Size: 27.51 MB
Format: PDF, Docs
Category : Science
Languages : un
Pages : 188
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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

Mathematical Foundations of Statistical Mechanics PDF
Author: Aleksandr I?Akovlevich Khinchin
Publisher: Courier Corporation
ISBN: 0486601471
Size: 73.64 MB
Format: PDF, ePub
Category : Mathematics
Languages : un
Pages : 179
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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.

Works On The Foundations Of Statistical Physics

Works on the Foundations of Statistical Physics PDF
Author: Nikolai Sergeevich Krylov
Publisher: Princeton University Press
ISBN: 1400854741
Size: 76.83 MB
Format: PDF, Mobi
Category : Science
Languages : un
Pages : 314
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Initially published in Moscow in 1950 following the author's death, this book contains the first chapters of a large monograph Krylov planned entitled The foundations of physical statistics," his doctoral thesis on "The processes of relaxation of statistical systems and the criterion of mechanical instability," and a small paper entitled "On the description of exhaustively complete experiments." Originally published in 1980. 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.

Foundations Of Classical And Quantum Statistical Mechanics

Foundations of Classical and Quantum Statistical Mechanics PDF
Author: R. Jancel
Publisher: Elsevier
ISBN: 1483186261
Size: 69.80 MB
Format: PDF, ePub, Docs
Category : Science
Languages : un
Pages : 440
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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.

Physics And Chance

Physics and Chance PDF
Author: Lawrence Sklar
Publisher: Cambridge University Press
ISBN: 9780521558815
Size: 14.43 MB
Format: PDF, Kindle
Category : Science
Languages : un
Pages : 437
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Lawrence Sklar offers a comprehensive, non-technical introduction to statistical mechanics and attempts to understand its foundational elements.

Statistische Mechanik

Statistische Mechanik PDF
Author: Franz Schwabl
Publisher: Springer-Verlag
ISBN: 3662100428
Size: 15.12 MB
Format: PDF, ePub, Docs
Category : Science
Languages : de
Pages : 590
View: 2485

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"Das Buch eignet sich ausgezeichnet als Grundlage oder Ergänzungslektüre für eine theoretische Vorlesung ab dem 5. Semester. Es deckt praktisch alle ... üblichen Inhalte ab, geht aber teilweise auch wesentlich darüber hinaus ... Zusammenfassend kann dieses Buch sowohl als Begleittext zu einer Vorlesung wie auch als Nachschlagewerk wärmstens empfohlen werden." (Physikalische Blätter) "... Die Fülle des behandelten Stoffes ist beeindruckend ... kann Studenten der ... Chemie, ... Physik und verwandter Disziplinen nachdrücklich empfohlen werden. Aber auch als Lehr- und Nachschlagewerk ist es geeignet." (Zeitschrift für Physikalische Chemie)

Mathematical Foundations Of Classical Statistical Mechanics

Mathematical Foundations of Classical Statistical Mechanics PDF
Author: D.Ya. Petrina
Publisher: CRC Press
ISBN: 9780415273541
Size: 48.43 MB
Format: PDF, ePub, Docs
Category : Science
Languages : un
Pages : 352
View: 3755

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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 Quantum Statistical Mechanics

Mathematical Foundations of Quantum Statistical Mechanics PDF
Author: D.Y. Petrina
Publisher: Springer Science & Business Media
ISBN: 940110185X
Size: 54.69 MB
Format: PDF
Category : Science
Languages : un
Pages : 445
View: 6233

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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.

Mathematical Foundations Of Quantum Statistical Mechanics

Mathematical Foundations of Quantum Statistical Mechanics PDF
Author: D.Y. Petrina
Publisher: Springer
ISBN: 9780792332589
Size: 24.74 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : un
Pages : 445
View: 2287

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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.

The Conceptual Foundations Of The Statistical Approach In Mechanics

The Conceptual Foundations of the Statistical Approach in Mechanics PDF
Author: Paul Ehrenfest
Publisher: Courier Corporation
ISBN: 0486163148
Size: 74.16 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : un
Pages : 128
View: 7125

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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.