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Problems on Statistical Mechanics

Problems on Statistical Mechanics
Author: D.A.R Dalvit
Publisher: CRC Press
Total Pages: 784
Release: 1999-01-01
Genre: Science
ISBN: 9781420050875

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A thorough understanding of statistical mechanics depends strongly on the insights and manipulative skills that are acquired through the solving of problems. Problems on Statistical Mechanics provides over 120 problems with model solutions, illustrating both basic principles and applications that range from solid-state physics to cosmology. An introductory chapter provides a summary of the basic concepts and results that are needed to tackle the problems, and also serves to establish the notation that is used throughout the book. The problems themselves occupy five chapters, progressing from the simpler aspects of thermodynamics and equilibrium statistical ensembles to the more challenging ideas associated with strongly interacting systems and nonequilibrium processes. Comprehensive solutions to all of the problems are designed to illustrate efficient and elegant problem-solving techniques. Where appropriate, the authors incorporate extended discussions of the points of principle that arise in the course of the solutions. The appendix provides useful mathematical formulae.


Statistical Mechanics

Statistical Mechanics
Author: LIKHAREV
Publisher: IOP Publishing Limited
Total Pages: 115
Release: 2019-07
Genre:
ISBN: 9780750314206

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Statistical Mechanics: Problems with Solutions contains detailed model solutions to the exercise problems formulated in the companion Lecture Notes volume. In many cases, the solutions include result discussions that enhance the lecture material. For reader's convenience, the problem assignments are reproduced in this volume.


Thermodynamics and Statistical Mechanics

Thermodynamics and Statistical Mechanics
Author: Peter T. Landsberg
Publisher: Courier Corporation
Total Pages: 484
Release: 2014-03-05
Genre: Science
ISBN: 0486167585

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Innovative, wide-ranging treatment, suitable for advanced undergraduates and graduate students, covers negative temperatures and heat capacities, general and special relativistic effects, black hole thermodynamics, gravitational collapse, and more. Problems with worked solutions. 1978 edition.


Problems and Solutions on Thermodynamics and Statistical Mechanics

Problems and Solutions on Thermodynamics and Statistical Mechanics
Author: Yung-Kuo Lim
Publisher: World Scientific Publishing Company
Total Pages: 420
Release: 1990-02-01
Genre: Science
ISBN: 9813103736

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The material for these volumes has been selected from the past twenty years' examination questions for graduate students at University of California at Berkeley, Columbia University, the University of Chicago, MIT, State University of New York at Buffalo, Princeton University and University of Wisconsin.


Solved Problems in Thermodynamics and Statistical Physics

Solved Problems in Thermodynamics and Statistical Physics
Author: Gregor Skačej
Publisher: Springer Nature
Total Pages: 292
Release: 2019-11-09
Genre: Science
ISBN: 3030276619

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This book contains a modern selection of about 200 solved problems and examples arranged in a didactic way for hands-on experience with course work in a standard advanced undergraduate/first-year graduate class in thermodynamics and statistical physics. The principles of thermodynamics and equilibrium statistical physics are few and simple, but their application often proves more involved than it may seem at first sight. This book is a comprehensive complement to any textbook in the field, emphasizing the analogies between the different systems, and paves the way for an in-depth study of solid state physics, soft matter physics, and field theory.


Potts Models And Related Problems In Statistical Mechanics

Potts Models And Related Problems In Statistical Mechanics
Author: Paul Purdon Martin
Publisher: World Scientific
Total Pages: 363
Release: 1991-02-28
Genre: Science
ISBN: 9814507164

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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


Statistical Mechanics

Statistical Mechanics
Author: R.K. Pathria
Publisher: Elsevier
Total Pages: 542
Release: 2017-02-21
Genre: Science
ISBN: 1483186881

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Statistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering.


Statistical and Thermal Physics

Statistical and Thermal Physics
Author: Harvey Gould
Publisher: Princeton University Press
Total Pages: 528
Release: 2021-09-14
Genre: Science
ISBN: 0691230846

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A completely revised edition that combines a comprehensive coverage of statistical and thermal physics with enhanced computational tools, accessibility, and active learning activities to meet the needs of today's students and educators This revised and expanded edition of Statistical and Thermal Physics introduces students to the essential ideas and techniques used in many areas of contemporary physics. Ready-to-run programs help make the many abstract concepts concrete. The text requires only a background in introductory mechanics and some basic ideas of quantum theory, discussing material typically found in undergraduate texts as well as topics such as fluids, critical phenomena, and computational techniques, which serve as a natural bridge to graduate study. Completely revised to be more accessible to students Encourages active reading with guided problems tied to the text Updated open source programs available in Java, Python, and JavaScript Integrates Monte Carlo and molecular dynamics simulations and other numerical techniques Self-contained introductions to thermodynamics and probability, including Bayes' theorem A fuller discussion of magnetism and the Ising model than other undergraduate texts Treats ideal classical and quantum gases within a uniform framework Features a new chapter on transport coefficients and linear response theory Draws on findings from contemporary research Solutions manual (available only to instructors)


Solved Problems in Quantum and Statistical Mechanics

Solved Problems in Quantum and Statistical Mechanics
Author: Michele Cini
Publisher: Springer Science & Business Media
Total Pages: 400
Release: 2012-03-30
Genre: Science
ISBN: 8847023157

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This textbook is the result of many years of teaching quantum and statistical mechanics, drawing on exercises and exam papers used on courses taught by the authors. The subjects of the exercises have been carefully selected to cover all the material which is most needed by students. Each exercise is carefully solved in full details, explaining the theory behind the solution with particular care for those issues that students often find difficult, or which are often neglected in other books on the subject. The exercises in this book never require extensive calculations but tend to be somewhat unusual and force the solver to think about the problem starting from first principles, rather than by analogy with some previously solved exercise.