Classical Equilibrium Statistical Mechanics

Author : Colin J. Thompson
Publisher : Unknown
Page : 236 pages
File Size : 52,6 Mb
Release : 1988
Category : Science
ISBN : UOM:39015017161582

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Classical Equilibrium Statistical Mechanics by Colin J. Thompson Pdf

This comprehensive work provides a rigorous introduction to statistical mechanics, which aims to relate microscopic properties of matter to observed macroscopic, or bulk, behavior of physical systems. The foundations of statistical mechanics, laid down by Gibbs, are presented in detail along with an introductory chapter on thermodynamics. Other topics covered include model systems and the thermodynamic limit; theories of phase transitions; fluctuations and correlations; exactly solved models; scaling theory; and the renormalization group. An important feature of the book is many problems and worked solutions which provide a timely demonstration of current research activity in the field.

Author : Franz Schwabl
Publisher : Springer Science & Business Media
Page : 578 pages
File Size : 54,8 Mb
Release : 2006-09-19
Category : Science
ISBN : 9783540362173

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Statistical Mechanics by Franz Schwabl Pdf

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.

Author : Sacha Friedli,Yvan Velenik
Publisher : Cambridge University Press
Page : 643 pages
File Size : 48,8 Mb
Release : 2017-11-23
Category : Mathematics
ISBN : 9781107184824

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Statistical Mechanics of Lattice Systems by Sacha Friedli,Yvan Velenik Pdf

A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

Author : E. Atlee Jackson
Publisher : Courier Corporation
Page : 272 pages
File Size : 48,9 Mb
Release : 2012-11-21
Category : Science
ISBN : 9780486149394

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Equilibrium Statistical Mechanics by E. Atlee Jackson Pdf

Key features include an elementary introduction to probability, distribution functions, and uncertainty; a review of the concept and significance of energy; and various models of physical systems. 1968 edition.

Author : David A. Lavis
Publisher : Springer
Page : 793 pages
File Size : 46,5 Mb
Release : 2015-01-31
Category : Science
ISBN : 9789401794305

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Equilibrium Statistical Mechanics of Lattice Models by David A. Lavis Pdf

Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models. The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. An introduction is given to finite-size scaling, conformal invariance and Schramm—Loewner evolution. Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg--Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi--Hijmans--De Boer hierarchy of approximations. In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of incipient phase transitions in one-dimensionally infinite models and for exact solutions for two-dimensionally infinite systems. The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and real-space renormalization group transformations are discussed. The use of the De Neef—Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model. The use of Pad\'e, differential and algebraic approximants to locate and analyze second- and first-order transitions is described. The realization of the ideas of scaling theory by the renormalization group is presented together with treatments of various approximation schemes including phenomenological renormalization. Part V of the book contains a collection of mathematical appendices intended to minimise the need to refer to other mathematical sources.

Author : David Ruelle
Publisher : Unknown
Page : 183 pages
File Size : 46,8 Mb
Release : 1978
Category : Statistical mechanics
ISBN : OCLC:1101561359

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Thermodynamic Formalism by David Ruelle Pdf

Author : M. Baus,Carlos F. Tejero
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 47,8 Mb
Release : 2007-11-15
Category : Science
ISBN : 9783540746324

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Equilibrium Statistical Physics by M. Baus,Carlos F. Tejero Pdf

This is a textbook which gradually introduces the student to the statistical mechanical study of the different phases of matter and to the phase transitions between them. Throughout, only simple models of both ordinary and soft matter are used but these are studied in full detail. The subject is developed in a pedagogical manner, starting from the basics, going from the simple ideal systems to the interacting systems, and ending with the more modern topics. The textbook provides the student with a complete overview, intentionally at an introductory level, of the theory of phase transitions. All equations and deductions are included.

Author : Gene Mazenko
Publisher : Wiley-VCH
Page : 638 pages
File Size : 54,6 Mb
Release : 2000-10-10
Category : Mathematics
ISBN : UVA:X004421105

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Equilibrium Statistical Mechanics by Gene Mazenko Pdf

A completely modern approach to statistical mechanics Gene Mazenko presents an introduction to statistical mechanics from the modern condensed matter physics point of view. Emphasizing symmetry principles, conservation laws, and the consequences of broken symmetry, all of which are crucial to a fundamental understanding of statistical physics, this volume discusses the role of broken translational symmetry in treating solids.Professor Mazenko develops a firm basis for the choice of macrovariables or thermodynamic variables, stressing the importance of Nambu-Goldstone modes. He develops this theory beyond the usual examples of simple fluids with discussions of magnets, superfluids, and solids. Based on the author's more than 30 years of experience with this subject, Equilibrium Statistical Mechanics: * Develops the structure of statistical mechanics and thermodynamics from fundamentals * Highlights the approach of coarse graining in statistical mechanics * Discusses ergodic theory and information theory * Treats phase transitions in a number of specific applications * Includes copious examples and end-of-chapter problems * Gives full development to the rich history of this topic Look for Mazenko's forthcoming volumes, Fluctuations, Order, and Defects; Nonequilibrium Statistical Mechanics; and Field Theory Methods in Statistical Mechanics. Combined with this self-contained volume, these works span the entire graduate-level program.

Author : J. E. Mayer
Publisher : Elsevier
Page : 253 pages
File Size : 47,8 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483224763

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Equilibrium Statistical Mechanics by J. E. Mayer Pdf

The International Encyclopedia of Physical Chemistry and Chemical Physics, Volume 1: Equilibrium Statistical Mechanics covers the fundamental principles and the development of theoretical aspects of equilibrium statistical mechanics. Statistical mechanical is the study of the connection between the macroscopic behavior of bulk matter and the microscopic properties of its constituent atoms and molecules. This book contains eight chapters, and begins with a presentation of the master equation used for the calculation of the fundamental thermodynamic functions. The succeeding chapters highlight the characteristics of the partition function and its application to the analysis of perfect and imperfect gases, solids, and dense fluids. These topics are followed by discussions on the fundamentals of quantum statistics, with particular emphasis on its application in certain media. The last chapter outlines the derivation of the relations between the partition functions and the thermodynamic quantities. This book will be of value to physical chemists, chemical physicists, mathematicians, and researchers in the allied fields of statistical mechanics.

Author : Frank C. Andrews
Publisher : Unknown
Page : 280 pages
File Size : 51,9 Mb
Release : 1975
Category : Science
ISBN : UOM:39015001330359

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Equilibrium Statistical Mechanics by Frank C. Andrews Pdf

Author : M. Toda,R. Kubo,N. Saito
Publisher : Springer Science & Business Media
Page : 267 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642966989

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Statistical Physics I by M. Toda,R. Kubo,N. Saito Pdf

This first volume of Statistical Physics is an introduction to the theories of equilibrium statistical mechanics, whereas the second volume (Springer Ser. Solid-State Sci., Vol. 31) is devoted to non equilibrium theories. Particular emphasis is placed on fundamental principles and basic con cepts and ideas. We start with physical examples of probability and kinetics, and then describe the general principles of statistical mechanics, with appli cations to quantum statistics, imperfect gases, electrolytes, and phase tran sitions, including critical phenomena. Finally, ergodic problems, the me chanical basis of statistical mechanics, are presented. The original text was written in Japanese as a volume of the Iwanami Series in Fundamental Physics, supervised by Professor H. Yukawa. The first edition was published in 1973 and the second in 1978. The English edition has been divided into two volumes at the request of the publisher, and the chapter on ergodic problems, which was at the end of the original book, is included here as Chapter 5. Chapters 1,2,3 and part of Chapter 4 were written by M. Toda, and Chapters 4 and 5 by N. Saito. More extensive references have been added for further reading, and some parts of the final chapters have been revised to bring the text up to date. It is a pleasure to express my gratitude to Professor P. Fulde for his detailed improvements in the manuscript, and to Dr. H. Lotsch of Springer Verlag for his continued cooperation.

Author : Radu Balescu
Publisher : Wiley-Interscience
Page : 778 pages
File Size : 50,5 Mb
Release : 1975-05-14
Category : Science
ISBN : UOM:39015002091984

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Equilibrium and Non-Equilibrium Statistical Mechanics by Radu Balescu Pdf

Author : Mario Rasetti
Publisher : World Scientific
Page : 338 pages
File Size : 53,9 Mb
Release : 1986
Category : Science
ISBN : 9971966298

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Modern Methods in Equilibrium Statistical Mechanics by Mario Rasetti Pdf

This book consists of a set of lecture notes on graduate courses in Analytical Mechanics and Statistical Mechanics which the author successively gave at the University of Miami, and at the University and Polytechnic of Turin over the past decade. The book centers on the idea that stochasticity can come out of nonlinearities even in the case of a few degrees of freedom, and on how this bears on the known methods of classical statistical mechanics and its link with thermodynamics.

Author : Morikazu Toda,Ryogo Kubo,Nobuhiko Saito
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642581342

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Statistical Physics I by Morikazu Toda,Ryogo Kubo,Nobuhiko Saito Pdf

Statistical Physics I discusses the fundamentals of equilibrium statistical mechanics, focussing on basic physical aspects. No previous knowledge of thermodynamics or the molecular theory of gases is assumed. Illustrative examples based on simple materials and photon systems elucidate the central ideas and methods.

Author : David Ruelle
Publisher : Cambridge University Press
Page : 198 pages
File Size : 45,9 Mb
Release : 2004-11-25
Category : Science
ISBN : 1139455281

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Thermodynamic Formalism by David Ruelle Pdf

Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author.