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A guide to Monte Carlo simulations in statistical physics. (English) Zbl 0998.82504

Cambridge: Cambridge University Press. xiv, 384 p. (2000).
Publisher’s description: This book deals with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed-matter physics and statistical mechanics as well as in related fields, for example polymer science and lattice gauge theory. After briefly recalling essential background in statistical mechanics and probability theory, the authors give a succinct overview of simple sampling methods. The next several chapters develop the importance sampling method. The concepts behind the various simulation algorithms are explained. The fact that simulations deal with small systems is emphasized. Other chapters also provide introductions to quantum Monte Carlo methods, aspects of simulations of growth phenomena and other systems far from equilibrium, and the Monte Carlo Renormalization Group approach to critical phenomena. Throughout the book there are many applications, examples, and exercises to help the reader in a thorough study of this book; furthermore, up-to-date references to more specialized literature are also provided.

MSC:

82-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistical mechanics
82B80 Numerical methods in equilibrium statistical mechanics (MSC2010)
65C40 Numerical analysis or methods applied to Markov chains
65C60 Computational problems in statistics (MSC2010)
82-08 Computational methods (statistical mechanics) (MSC2010)
81-08 Computational methods for problems pertaining to quantum theory