Contemporary Problems In Statistical Physics

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Contemporary Problems In Statistical Physics

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Author : George H. Weiss
language : en
Publisher: SIAM
Release Date : 1994-01-01

Contemporary Problems In Statistical Physics written by George H. Weiss and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Science categories.

This collection of independent articles describes some mathematical problems recently developed in statistical physics and theoretical chemistry. The book introduces and reviews current research on such topics as nonlinear systems and colored noise, stochastic resonance, percolation, the trapping problem in the theory of random walks, and diffusive models for chemical kinetics. Some of these topics have never before been presented in expository book form. Applied mathematicians will be introduced to some contemporary problems in statistical physics. In addition, a number of unsolved problems currently attracting intensive research efforts are described.

Statistical Physics

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Author : Josef Honerkamp
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-19

Statistical Physics written by Josef Honerkamp 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 2012-06-19 with Science categories.

The application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analysis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The third edition has been updated and enlarged with new sections deepening the knowledge about data analysis. Moreover, a customized set of problems with solutions is accessible on the Web at extras.springer.com.

Introduction To Statistical Physics

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Author : Silvio Salinas
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-02-08

Introduction To Statistical Physics written by Silvio Salinas 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 2001-02-08 with Science categories.

This textbook covers the basic principles of statistical physics and thermodynamics. The text is pitched at the level equivalent to first-year graduate studies or advanced undergraduate studies. It presents the subject in a straightforward and lively manner. After reviewing the basic probability theory of classical thermodynamics, the author addresses the standard topics of statistical physics. The text demonstrates their relevance in other scientific fields using clear and explicit examples. Later chapters introduce phase transitions, critical phenomena and non-equilibrium phenomena.

A Modern Course In Statistical Physics

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Author : L. E. Reichl
language : en
Publisher: Hodder Education
Release Date : 1980

A Modern Course In Statistical Physics written by L. E. Reichl and has been published by Hodder Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Statistical physics categories.

Going beyond traditional textbook topics, 'A Modern Course in Statistical Physics' incorporates contemporary research in a basic course on statistical mechanics. From the universal nature of matter to the latest results in the spectral properties of decay processes, this book emphasizes the theoretical foundations derived from thermodynamics and probability theory underlying all concepts in statistical physics. This completely revised and updated third edition continues the comprehensive coverage of numerous core topics and special applications, allowing professors flexibility in designing individualized courses. The inclusion of advanced topics and extensive references makes this an invaluable resource for researchers as well as students -- a textbook that will be kept on the shelf long after the course is completed.

Statistical Physics

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Author : Leo P. Kadanoff
language : en
Publisher: World Scientific
Release Date : 2000

Statistical Physics written by Leo P. Kadanoff and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.

The material presented in this invaluable textbook has been tested in two courses. One of these is a graduate-level survey of statistical physics; the other, a rather personal perspective on critical behavior. Thus, this book defines a progression starting at the book-learning part of graduate education and ending in the midst of topics at the research level. To supplement the research-level side the book includes some research papers. Several of these are classics in the field, including a suite of six works on self-organized criticality and complexity, a pair on diffusion-limited aggregation, some papers on correlations near critical points, a few of the basic sources on the development of the real-space renormalization group, and several papers on magnetic behavior in a plain geometry. In addition, the author has included a few of his own papers.

Contemporary Problems In Statistical Physics

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Author : George H. Weiss
language : en
Publisher: SIAM
Release Date : 1994-01-01

Contemporary Problems In Statistical Physics written by George H. Weiss and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Science categories.

This collection of independent articles describes some mathematical problems recently developed in statistical physics and theoretical chemistry. The book introduces and reviews current research on such topics as nonlinear systems and colored noise, stochastic resonance, percolation, the trapping problem in the theory of random walks, and diffusive models for chemical kinetics. Some of these topics have never before been presented in expository book form. Applied mathematicians will be introduced to some contemporary problems in statistical physics. In addition, a number of unsolved problems currently attracting intensive research efforts are described, and some of the techniques used in this research are outlined, along with principal results and outstanding questions. A wide spectrum of mathematical techniques is covered, but the main emphasis is on introducing the mathematician to different research areas with open and interesting problems. This is an ideal starting point for the mathematician with an elementary acquaintance with the methodology of statistical physics. The material is meant to be introductory and terms are carefully defined. Many topics that require further study are introduced, providing new research ideas for the applied mathematician or thesis problems for the graduate student.

Statistical Physics Of Particles

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Author : Mehran Kardar
language : en
Publisher: Cambridge University Press
Release Date : 2007-06-07

Statistical Physics Of Particles written by Mehran Kardar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-07 with Science categories.

Statistical physics has its origins in attempts to describe the thermal properties of matter in terms of its constituent particles, and has played a fundamental role in the development of quantum mechanics. Based on lectures taught by Professor Kardar at MIT, this textbook introduces the central concepts and tools of statistical physics. It contains a chapter on probability and related issues such as the central limit theorem and information theory, and covers interacting particles, with an extensive description of the van der Waals equation and its derivation by mean field approximation. It also contains an integrated set of problems, with solutions to selected problems at the end of the book and a complete set of solutions is available to lecturers on a password protected website at www.cambridge.org/9780521873420. A companion volume, Statistical Physics of Fields, discusses non-mean field aspects of scaling and critical phenomena, through the perspective of renormalization group.

Potts Models And Related Problems In Statistical Mechanics

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Author : Paul Purdon Martin
language : en
Publisher: World Scientific
Release Date : 1991-02-28

Potts Models And Related Problems In Statistical Mechanics written by Paul Purdon Martin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-02-28 with Science categories.

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

Elementary Lectures In Statistical Mechanics

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Author : George D.J. Phillies
language : en
Publisher: Springer Science & Business Media
Release Date : 2000

Elementary Lectures In Statistical Mechanics written by George D.J. Phillies 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 2000 with Mathematics categories.

This textbook for graduates and advanced undergraduates in physics and physical chemistry covers the major areas of statistical mechanics and concludes with the level of current research. It begins with the fundamental ideas of averages and ensembles, focusing on classical systems described by continuous variables such as position and momentum, and using the ideal gas as an example. It then turns to quantum systems, beginning with diatomic molecules and working up through blackbody radiation and chemical equilibria. The discussion of equilibrium properties of systems of interacting particles includes such techniques as cluster expansions and distribution functions and uses non-ideal gases, liquids, and solutions. Dynamic behavior -- treated here more extensively than in other texts -- is discussed from the point of view of correlation functions. The text concludes with the problem of diffusion in a suspension of interacting hard spheres and what can be learned about such a system from scattered light. Intended for a one-semester course, the text includes several "asides" on topics usually omitted from introductory courses, as well as numerous exercises.

Physics And Chance

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Author : Lawrence Sklar
language : en
Publisher: Cambridge University Press
Release Date : 1993

Physics And Chance written by Lawrence Sklar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Philosophy categories.

Lawrence Sklar offers a comprehensive, non-technical introduction to statistical mechanics and attempts to understand its foundational elements.