Author: David Ruelle
Publisher:
ISBN: 9780805383591
Category : Statistical mechanics
Languages : en
Pages : 219

Get Book Here

Book Description

Author:
Publisher: Elsevier
ISBN: 0080538746
Category : Science
Languages : en
Pages : 235

Get Book Here

Book Description
Far-from-equilibrium phenomena, while abundant in nature, are not nearly as well understood as their equilibrium counterparts. On the theoretical side, progress is slowed by the lack of a simple framework, such as the Boltzmann-Gbbs paradigm in the case of equilibrium thermodynamics. On the experimental side, the enormous structural complexity of real systems poses serious obstacles to comprehension.Similar difficulties have been overcome in equilibrium statistical mechanics by focusing on model systems. Even if they seem too simplistic for known physical systems, models give us considerable insight, provided they capture the essential physics. They serve as important theoretical testing grounds where the relationship between the generic physical behavior and the key ingredients of a successful theory can be identified and understood in detail.Within the vast realm of non-equilibrium physics, driven diffusive systems form a subset with particularly interesting properties. As a prototype model for these systems, the driven lattice gas was introduced roughly a decade ago. Since then, a number of surprising phenomena have been discovered including singular correlations at generic temperatures, as well as novel phase transitions, universality classes, and interfacial instabilities. This book summarizes current knowledge on driven systems, from apedagogical discussion of the original driven lattice gas to a brief survey of related models. Given that the topic is far from closed, much emphasis is placed on detailing open questions and unsolved problems as an incentive for the reader to pursue thesubject further.Provides a summary of current knowledge on driven diffusive systemsEmphasis is placed on detailing open questions and unsolved problemsCovers the entire subject from original driven lattice gas to a survey of related models

Author: Rodney J. Baxter
Publisher: Elsevier
ISBN: 1483265943
Category : Science
Languages : en
Pages : 499

Get Book Here

Book Description
Exactly Solved Models in Statistical Mechanics

Author: Denis J. Evans
Publisher: ANU E Press
ISBN: 1921313234
Category : Science
Languages : en
Pages : 318

Get Book Here

Book Description
"There is a symbiotic relationship between theoretical nonequilibrium statistical mechanics on the one hand and the theory and practice of computer simulation on the other. Sometimes, the initiative for progress has been with the pragmatic requirements of computer simulation and at other times, the initiative has been with the fundamental theory of nonequilibrium processes. This book summarises progress in this field up to 1990"--Publisher's description.

Author: FRITZ
Publisher: Springer Science & Business Media
ISBN: 1489966536
Category : Science
Languages : en
Pages : 489

Get Book Here

Book Description

Author: James Sethna
Publisher: OUP Oxford
ISBN: 0191566217
Category : Science
Languages : en
Pages : 372

Get Book Here

Book Description
In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.

Author: Jean-Louis Bretonnet
Publisher: Cambridge Scholars Publishing
ISBN: 152755970X
Category : Science
Languages : en
Pages : 582

Get Book Here

Book Description
In a simple and accessible form, this book presents a unified approach to the physics of the liquid state, both in and out of equilibrium. It discerns, behind the seemingly anarchistic proliferation of phenomena observable in the liquid state, the sequence of causes and effects and, where appropriate, the underlying rules that preside over the general principles. The book begins by introducing the fundamental concepts of statistical mechanics, such as classical and quantum mechanics, probability theory, and the kinetic theory of gases, before moving on to discuss theoretical methods in order to contextualise the study of liquids. The last final section is devoted to ordering in complex fluids. It includes detailed technical notes and explicit calculations, and will appeal to graduate students in physics and chemistry. It will also be of interest the reader interested in statistical mechanics and their application to the physics of dense matter. This book will certainly become an indispensable reference for students and researchers who wish to become familiar with a multifaceted process looking towards new horizons.

Author: Paul Purdon Martin
Publisher: World Scientific
ISBN: 9814507164
Category : Science
Languages : en
Pages : 363

Get Book Here

Book Description
Contents:IntroductionTransfer Matrices: On Commuting Transfer MatricesOn Exactly Solved CasesAlgebra: General PrinciplesTemperley-Lieb Algebra: Generic CasesSpecial CasesGraph Temperley-Lieb AlgebrasHecke AlgebrasAlgebraic Formalism for ZQ SymmetryThe Modelling of Phase TransitionsVertex Models and Related Algebras, Braids and Cables Readership: Mathematical physicists. Keywords:Yang-Baxter Algebras;Algebraic Methods of Statistical Mechanics;Potts Model;Transfer Matrices;Solvable Models;Temperly-Lieb Algebras;Hecke Algebras;Generalized Clifford Algebras;Representations;Partition Functions;Phase Transitions;Vertex Models;Braid GroupReview: “This is an excellent survey of the Potts model and related matters in statistical mechanics. The first chapter constitutes a good introduction to statistical mechanics with a discussion of modelling principles, partition functions and Hamiltonians, lattices, statistical mechanics functions such as free energy. There are good general discussions of phase transitions, order parameters and critical exponents. Then the Potts models are defined and related to dichromatic polynomials and to the special case of the Ising model. The chapter ends with a discussion of block spin renormalization … This book is a fine source of basic results about the Potts model and its mathematical physics environment.” Mathematical Reviews

Author: Luc T Wille
Publisher: World Scientific
ISBN: 9814544167
Category :
Languages : en
Pages : 536

Get Book Here

Book Description
This volume is a collection of original papers and reviews in honour of James McGuire, one of the pioneers of integrable models in statistical physics. The broad range of articles offers a timely perspective on the current status of statistical mechanics, identifying both recent results as well as future challenges. The work contains a number of overviews of standard topics such as exactly solved lattice models and their various applications in statistical physics, from models of strongly correlated electrons to the conformational properties of polymer chains. It is equally wide ranging in its coverage of new directions and developing fields including quantum computers, financial markets, chaotic systems, Feigenbaum scaling, proteins, brain behaviour, immunology, Markov superposition, Bose-Einstein condensation, random matrices, exclusion statistics, vertex operator algebras and D-unsolvability.The level of coverage is appropriate for graduate students. It will be equally of interest to professional physicists who want to learn about progress in statistical physics in recent years. Experts will find this work useful because of its broad sweep of topics and its discussion of remaining unsolved problems.

Author: K.-H. Hoffmann
Publisher: Springer Science & Business Media
ISBN: 3662048043
Category : Science
Languages : en
Pages : 312

Get Book Here

Book Description
In recent years statistical physics has made significant progress as a result of advances in numerical techniques. While good textbooks exist on the general aspects of statistical physics, the numerical methods and the new developments based on large-scale computing are not usually adequately presented. In this book 16 experts describe the application of methods of statistical physics to various areas in physics such as disordered materials, quasicrystals, semiconductors, and also to other areas beyond physics, such as financial markets, game theory, evolution, and traffic planning, in which statistical physics has recently become significant. In this way the universality of the underlying concepts and methods such as fractals, random matrix theory, time series, neural networks, evolutionary algorithms, becomes clear. The topics are covered by introductory, tutorial presentations.