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Mathematical Statistical Mechanics
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Book Synopsis Mathematical Statistical Mechanics by : Colin J. Thompson
Download or read book Mathematical Statistical Mechanics written by Colin J. Thompson and published by Princeton University Press. This book was released on 2015-03-08 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: While most introductions to statistical mechanics are either too mathematical or too physical, Colin Thompson's book combines mathematical rigor with familiar physical materials. Following introductory chapters on kinetic theory, thermodynamics, the Gibbs ensembles, and the thermodynamic limit, later chapters discuss the classical theories of phase transitions, the Ising model, algebraic methods and combinatorial methods for solving the two-dimensional model in zero field, and some applications of the Ising model to biology. Originally published in 1979. 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.
Book Synopsis Introduction to Mathematical Statistical Physics by : Robert Adolʹfovich Minlos
Download or read book Introduction to Mathematical Statistical Physics written by Robert Adolʹfovich Minlos and published by American Mathematical Soc.. This book was released on 2000 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a mathematically rigorous approach to the main ideas and phenomena of statistical physics. The introduction addresses the physical motivation, focusing on the basic concept of modern statistical physics, that is the notion of Gibbsian random fields. Properties of Gibbsian fields are analysed in two ranges of physical parameters: "regular" (corresponding to high-temperature and low-density regimes) where no phase transition is exhibited, and "singular" (low temperature regimes) where such transitions occur. Next, a detailed approach to the analysis of the phenomena of phase transitions of the first kind, the Pirogov-Sinai theory, is presented. The author discusses this theory in a general way and illustrates it with the example of a lattice gas with three types of particles. The conclusion gives a brief review of recent developments arising from this theory. The volume is written for the beginner, yet advanced students will benefit from it as well. The book will serve nicely as a supplementary textbook for course study. The prerequisites are an elementary knowledge of mechanics, probability theory and functional analysis.
Book Synopsis Statistical Mechanics of Lattice Systems by : Sacha Friedli
Download or read book Statistical Mechanics of Lattice Systems written by Sacha Friedli and published by Cambridge University Press. This book was released on 2017-11-23 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
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 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.
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 The Statistical Mechanics of Financial Markets by : Johannes Voit
Download or read book The Statistical Mechanics of Financial Markets written by Johannes Voit and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: A careful examination of the interaction between physics and finance. It takes a look at the 100-year-long history of co-operation between the two fields and goes on to provide new research results on capital markets - taken from the field of statistical physics. The random walk model, well known in physics, is one good example of where the two disciplines meet. In the world of finance it is the basic model upon which the Black-Scholes theory of option pricing and hedging has been built. The underlying assumptions are discussed using empirical financial data and analogies to physical models such as fluid flows, turbulence, or superdiffusion. On this basis, new theories of derivative pricing and risk control can be formulated.
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 Statistical Mechanics by : Giovanni Gallavotti
Download or read book Statistical Mechanics written by Giovanni Gallavotti and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This clear book presents a critical and modern analysis of the conceptual foundations of statistical mechanics as laid down in Boltzmann's works. The author emphasises the relation between microscopic reversibility and macroscopic irreversibility, explaining fundamental concepts in detail.
Book Synopsis Problems in Thermodynamics and Statistical Physics by : Peter T. Landsberg
Download or read book Problems in Thermodynamics and Statistical Physics written by Peter T. Landsberg and published by Courier Corporation. This book was released on 2014-06-10 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Well respected, widely used volume presents problems and full solutions related to a wide range of topics in thermodynamics, statistical physics, statistical mechanics. Suitable for undergraduates and graduate students, self-study, reference. 1989 edition.
Book Synopsis Mathematical Statistical Physics by :
Download or read book Mathematical Statistical Physics written by and published by Elsevier. This book was released on 2006-06-27 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians. Introduction to a field of math with many interdisciplinary connections in physics, biology, and computer science Roadmap to the next decade of mathematical statistical mechanics Volume for reference years to come
Book Synopsis Algebraic Methods in Statistical Mechanics and Quantum Field Theory by : Dr. Gérard G. Emch
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 336 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.
Book Synopsis Statistical Mechanics of Disordered Systems by : Anton Bovier
Download or read book Statistical Mechanics of Disordered Systems written by Anton Bovier and published by Cambridge University Press. This book was released on 2006-06-08 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Lectures on Mathematical Statistical Mechanics by : Stefan Adams
Download or read book Lectures on Mathematical Statistical Mechanics written by Stefan Adams and published by . This book was released on 2006 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-equilibrium Statistical Mechanics and Turbulence by : John Cardy
Download or read book Non-equilibrium Statistical Mechanics and Turbulence written by John Cardy and published by Cambridge University Press. This book was released on 2008-12-11 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained volume introduces modern methods of statistical mechanics in turbulence, with three harmonised lecture courses by world class experts.
Book Synopsis Discrete Mathematics in Statistical Physics by : Martin Loebl
Download or read book Discrete Mathematics in Statistical Physics written by Martin Loebl and published by Springer Science & Business Media. This book was released on 2010-02-16 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently. It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers.
Book Synopsis Operator Algebras and Quantum Statistical Mechanics 1 by : Ola Bratteli
Download or read book Operator Algebras and Quantum Statistical Mechanics 1 written by Ola Bratteli and published by Springer Science & Business Media. This book was released on 1987 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made. The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space.
Book Synopsis Statistical Mechanics by : Scott Sheffield
Download or read book Statistical Mechanics written by Scott Sheffield and published by American Mathematical Soc.. This book was released on with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
