Introduction to Statistical Physics

Author:   Silvio Salinas
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2001
ISBN:  

9781441928849


Pages:   378
Publication Date:   06 December 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Introduction to Statistical Physics


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Overview

Intended for beginning graduate students or advanced undergraduates, this text covers the statistical basis of equilibrium thermodynamics, both classical and quantum, including examples from solid-state physics. It also treats some topics of more recent interest such as phase transitions and non-equilibrium phenomena. The approach to equilibrium statistical mechanics is based on the Gibbs microcanonical ensemble. The presentation introduces modern ideas, such as the thermodynamic limit and the equivalence of ensembles, and uses simple models (ideal gas, Einstein solid, ideal paramagnet) to make the mathematical ideas clear. Frequently used mathematical methods are reviewed in an appendix. The book begins with a review of statistical methods and classical thermodynamics, making it suitable for students from a variety of backgrounds. Classical thermodynamics is treated in the in the context of the classical ideal gas and the canonical and grand canonical ensembles. The discussion of quantum statistical mechanics includes Bose and Fermi gases. the Bose-Einstein condensation, phonons and magnons. Phase transitions are first treated classically (using the van der Waals and Curie-Weiss phenomenological models as examples), and then quantum mechanically (the Ising model, scaling theory and renormalization). The book concludes with two chapters on nonequilibrium phenomena: one using Boltzmann's approach, the other based on stochastic models. Exercises at the end of each chapter are an integral part of the course, clarifying and extending topics discussed in the text. Hints and solutions can be found on the author's web site.

Full Product Details

Author:   Silvio Salinas
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2001
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.599kg
ISBN:  

9781441928849


ISBN 10:   1441928847
Pages:   378
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1 Introduction to Statistical Methods.- 2 Statistical Description of a Physical System.- 3 Overview of Classical Thermodynamics.- 4 Microcanonical Ensemble.- 5 Canonical Ensemble.- 6 The Classical Gas in the Canonical Formalism.- 7 The Grand Canonical and Pressure Ensembles.- 8 The Ideal Quantum Gas.- 9 The Ideal Fermi Gas.- 10 Free Bosons: Bose—Einstein Condensation; Photon Gas.- 11 Phonons and Magnons.- 12 Phase Transitions and Critical Phenomena: Classical Theories.- 13 The Ising Model.- 14 Scaling Theories and the Renormalization Group.- 15 Nonequilibrium Phenomena: I. Kinetic Methods.- 16 Nonequilibrium phenomena: II. Stochastic Methods.- Appendices.- A.1 Stirling’s asymptotic series.- A.2 Gaussian integrals.- A.3 Dirac’s delta function.- A.4 Volume of a hypersphere.- A.5 Jacobian transformations.- A.6 The saddle-point method.- A.7 Numerical constants.

Reviews

From the reviews: It is written in an informal, physics type style, but presents precise and well explained arguments. The list of references is well chosen and contains comments which facilitate further readings. --Zentralblatt Math This book is addressed to physics students at the senior undergraduate or beginning graduate level. As such, it emphasizes physical intuition and central physical arguments over detailed mathematical justification. ! Physics students will enjoy the clarity and calculated simplicity of its presentation, while acquiring a broad knowledge of the subject. But, because of its careful selection of conceptual issues and its unassuming style, the book can also be a useful reference to students in other disciplines, including mathematics ! . (Roberto Fernandez, Mathematical Reviews, Issue 2003 e) Statistical physics attempts to explain ! laws by considering the large number of constituent particles from a statistical point of view. This is also the point of view of this textbook ! . It is written in an informal, physics type style, but presents precise and well explained arguments. It supports intuition more than formalism, and discusses a large number of relevant examples and models. ! The list of references is well chosen and contains comments which facilitate further readings. (Michael Baake, Zentralblatt MATH, Vol. 983, 2002)


From the reviews: It is written in an informal, physics type style, but presents precise and well explained arguments. The list of references is well chosen and contains comments which facilitate further readings. --Zentralblatt Math ""This book is addressed to physics students at the senior undergraduate or beginning graduate level. As such, it emphasizes physical intuition and central physical arguments over detailed mathematical justification. … Physics students will enjoy the clarity and calculated simplicity of its presentation, while acquiring a broad knowledge of the subject. But, because of its careful selection of conceptual issues and its unassuming style, the book can also be a useful reference to students in other disciplines, including mathematics … ."" (Roberto Fernández, Mathematical Reviews, Issue 2003 e) ""Statistical physics attempts to explain … laws by considering the large number of constituent particles from a statistical point of view. This is also the point of view of this textbook … . It is written in an informal, physics type style, but presents precise and well explained arguments. It supports intuition more than formalism, and discusses a large number of relevant examples and models. … The list of references is well chosen and contains comments which facilitate further readings."" (Michael Baake, Zentralblatt MATH, Vol. 983, 2002)


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