Statistical mechanics : an introductory graduate course / A.J. Berlinsky, A.B. Harris.
2019
QC174.8
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Details
Title
Statistical mechanics : an introductory graduate course / A.J. Berlinsky, A.B. Harris.
Author
ISBN
9783030281878 (electronic book)
3030281876 (electronic book)
9783030281861
3030281876 (electronic book)
9783030281861
Published
Cham, Switzerland : Springer, 2019.
Language
English
Description
1 online resource (xxi, 602 pages) : illustrations
Item Number
10.1007/978-3-030-28187-8 doi
Call Number
QC174.8
Dewey Decimal Classification
530.13
Summary
In a comprehensive treatment of Statistical Mechanics from thermodynamics through the renormalization group, this book serves as the core text for a full-year graduate course in statistical mechanics at either the Masters or Ph. D. level. Each chapter contains numerous exercises, and several chapters treat special topics which can be used as the basis for student projects. The concept of scaling is introduced early and used extensively throughout the text. At the heart of the book is an extensive treatment of mean field theory, from the simplest decoupling approach, through the density matrix formalism, to self-consistent classical and quantum field theory as well as exact solutions on the Cayley tree. Proceeding beyond mean field theory, the book discusses exact mappings involving Potts models, percolation, self-avoiding walks and quenched randomness, connecting various athermal and thermal models. Computational methods such as series expansions and Monte Carlo simulations are discussed, along with exact solutions to the 1D quantum and 2D classical Ising models. The renormalization group formalism is developed, starting from real-space RG and proceeding through a detailed treatment of Wilson's epsilon expansion. Finally the subject of Kosterlitz-Thouless systems is introduced from a historical perspective and then treated by methods due to Anderson, Kosterlitz, Thouless and Young. Altogether, this comprehensive, up-to-date, and engaging text offers an ideal package for advanced undergraduate or graduate courses or for use in self study.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed October 10, 2019).
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Series
Graduate texts in physics.
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