On The Foundations Of Classical Statistical Physics
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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.
On The Foundations Of Classical Statistical Physics
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Author : Johannes van der Linden
language : en
Publisher:
Release Date : 1966
On The Foundations Of Classical Statistical Physics written by Johannes van der Linden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Statistical mechanics categories.
Foundations Of Classical And Quantum Statistical Mechanics
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Author : R. Jancel
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Foundations Of Classical And Quantum Statistical Mechanics written by R. Jancel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
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 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
On The Foundations Of Classical Statistical Physics Proefschrift Etc With A Summary In Dutch
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Author : Johannes van der LINDEN
language : en
Publisher:
Release Date : 1966
On The Foundations Of Classical Statistical Physics Proefschrift Etc With A Summary In Dutch written by Johannes van der LINDEN and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.
Works On The Foundations Of Statistical Physics
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Author : Nikolai Sergeevich Krylov
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14
Works On The Foundations Of Statistical Physics written by Nikolai Sergeevich Krylov and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Science categories.
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.
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.
Foundations Of Classical And Quantum Statistical Mechanics
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Author : Raymond Jancel
language : en
Publisher:
Release Date : 1959
Foundations Of Classical And Quantum Statistical Mechanics written by Raymond Jancel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with categories.
Statistical Mechanics
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Author : Giuseppe Morandi
language : en
Publisher: World Scientific
Release Date : 2001
Statistical Mechanics written by Giuseppe Morandi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
This book covers the foundations of classical thermodynamics, with emphasis on the use of differential forms of classical and quantum statistical mechanics, and also on the foundational aspects. In both contexts, a number of applications are considered in detail, such as the general theory of response, correlations and fluctuations, and classical and quantum spin systems. In the quantum case, a self-contained introduction to path integral methods is given. In addition, the book discusses phase transitions and critical phenomena, with applications to the Landau theory and to the Ginzburg-Landau theory of superconductivity, and also to the phenomenon of Bose condensation and of superfluidity. Finally, there is a careful discussion on the use of the renormalization group in the study of critical phenomena.
Foundations Of Statistical Mechanics
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Author : O. Penrose
language : en
Publisher: Elsevier
Release Date : 2016-09-21
Foundations Of Statistical Mechanics written by O. Penrose and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-21 with Science categories.
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.