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Axiomatics Of Classical Statistical Mechanics
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Book Synopsis Axiomatics of Classical Statistical Mechanics by : Rudolf Kurth
Download or read book Axiomatics of Classical Statistical Mechanics written by Rudolf Kurth and published by Courier Dover Publications. This book was released on 2019-03-20 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Axiomatics of Classical Statistical Mechanics by : Rudolf Kurth
Download or read book Axiomatics of Classical Statistical Mechanics written by Rudolf Kurth and published by Courier Dover Publications. This book was released on 2019-04-17 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Axiomatics of Classical Statistical Mechanics by : Rudolph Kurth
Download or read book Axiomatics of Classical Statistical Mechanics written by Rudolph Kurth and published by . This book was released on 1960 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis International series of monographs on pure and applied mathematics by : Rudolf Kurth
Download or read book International series of monographs on pure and applied mathematics written by Rudolf Kurth and published by . This book was released on 1960 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Foundations of Classical Statistical Mechanics by : D.Ya. Petrina
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.
Book Synopsis Mathematical Foundations of Classical Statistical Mechanics by : D.Ya. Petrina
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
Book Synopsis A Brief Introduction to Classical, Statistical, and Quantum Mechanics by : Oliver Bühler
Download or read book A Brief Introduction to Classical, Statistical, and Quantum Mechanics written by Oliver Bühler and published by American Mathematical Soc.. This book was released on 2006-10-12 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a rapid overview of the basic methods and concepts in mechanics for beginning Ph.D. students and advanced undergraduates in applied mathematics or related fields. It is based on a graduate course given in 2006-07 at the Courant Institute of Mathematical Sciences. Among other topics, the book introduces Newton's law, action principles, Hamilton-Jacobi theory, geometric wave theory, analytical and numerical statistical mechanics, discrete and continuous quantum mechanics, and quantum path-integral methods. The focus is on fundamental mathematical methods that provide connections between seemingly unrelated subjects. An example is Hamilton-Jacobi theory, which appears in the calculus of variations, in Fermat's principle of classical mechanics, and in the geometric theory of dispersive wavetrains. The material is developed in a sequence of simple examples and the book can be used in a one-semester class on classical, statistical, and quantum mechanics. Some familiarity with differential equations is required but otherwise the book is self-contained. In particular, no previous knowledge of physics is assumed. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
Book Synopsis Mathematical Physics II: Classical Statistical Mechanics by : Matteo Petrera
Download or read book Mathematical Physics II: Classical Statistical Mechanics written by Matteo Petrera and published by Logos Verlag Berlin GmbH. This book was released on 2014 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Statistical Mechanics by : Franz Schwabl
Download or read book Statistical Mechanics written by Franz Schwabl and published by Springer Science & Business Media. This book was released on 2006-09-19 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This completely revised edition of the classical book on Statistical Mechanics covers the basic concepts of equilibrium and non-equilibrium statistical physics. In addition to a deductive approach to equilibrium statistics and thermodynamics based on a single hypothesis this book treats the most important elements of non-equilibrium phenomena. Intermediate calculations are presented in complete detail. Problems at the end of each chapter help students to consolidate their understanding of the material. Beyond the fundamentals, this text demonstrates the breadth of the field and its great variety of applications.
Book Synopsis Axiomatics of Classical Statistical Mathematics by : Rudolf Kurth
Download or read book Axiomatics of Classical Statistical Mathematics written by Rudolf Kurth and published by . This book was released on 1960 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature by : Valia Allori
Download or read book Statistical Mechanics And Scientific Explanation: Determinism, Indeterminism And Laws Of Nature written by Valia Allori and published by World Scientific. This book was released on 2020-04-22 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores several open questions in the philosophy and the foundations of statistical mechanics. Each chapter is written by a leading expert in philosophy of physics and/or mathematical physics. Here is a list of questions that are addressed in the book:
Book Synopsis Statistical Mechanics by : J. Woods Halley
Download or read book Statistical Mechanics written by J. Woods Halley and published by Cambridge University Press. This book was released on 2006-11-16 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the author's graduate course taught over many years in several physics departments, this 2006 book takes a 'reductionist' view of statistical mechanics, while describing the main ideas and methods underlying its applications. It implicitly assumes that the physics of complex systems as observed is connected to fundamental physical laws represented at the molecular level by Newtonian mechanics or quantum mechanics. Organised into three parts, the first section describes the fundamental principles of equilibrium statistical mechanics. The next section describes applications to phases of increasing density and order: gases, liquids and solids; it also treats phase transitions. The final section deals with dynamics, including a careful account of hydrodynamic theories and linear response theory. This textbook is suitable for a one year graduate course in statistical mechanics for physicists, chemists and chemical engineers. Problems are included following each chapter, with solutions to selected problems provided.
Book Synopsis Classical Statistical Mechanics by : Leon Rosenfeld
Download or read book Classical Statistical Mechanics written by Leon Rosenfeld and published by Editora Livraria da Fisica. This book was released on 2005 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Esse livro foi o livro texto do curso que Leon Rosenfeld ministrou no CBPF em 1953. Um texto clássico e inédito. Sumário: Statistical thermodynamics Classical Statistics The Ergodic Theorem Statistics of closed systems Statistics of open systems
Book Synopsis Classical Statistical Mechanics by : G.A. Martynov
Download or read book Classical Statistical Mechanics written by G.A. Martynov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modern Nonlinear Equations by : Thomas L. Saaty
Download or read book Modern Nonlinear Equations written by Thomas L. Saaty and published by Courier Corporation. This book was released on 2012-04-26 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers major types of classical equations: operator, functional, difference, integro-differential, and more. Suitable for graduate students as well as scientists, technologists, and mathematicians. "A welcome contribution." — Math Reviews. 1964 edition.
Book Synopsis Mathematical Foundations of Statistical Mechanics by : Aleksandr I?Akovlevich Khinchin
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 210 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.
Book Synopsis Thermodynamics by : Mizutani Tadashi
Download or read book Thermodynamics written by Mizutani Tadashi and published by BoD – Books on Demand. This book was released on 2011-01-14 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress of thermodynamics has been stimulated by the findings of a variety of fields of science and technology. The principles of thermodynamics are so general that the application is widespread to such fields as solid state physics, chemistry, biology, astronomical science, materials science, and chemical engineering. The contents of this book should be of help to many scientists and engineers.
