Monte Carlo Simulation in Statistical Physics
Subtitle: An Introduction
By: by Kurt Binder, Dieter W. Heermann
Contributors: Heermann, Dieter W.
Series: Springer Series in Solid-State Sciences -- 80; Springer Series in Solid-State Sciences -- 80
Publisher: Springer Berlin Heidelberg
Published: 1988
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 129
ISBN-13: 9783662088562; 9783662088548
Subjects: Thermodynamics; Mathematical physics; Physics
Description: The Monte Carlo method is a computer simulation method which uses random numbers to simulate statistical fluctuations. The method is used to model complex systems with many degrees of freedom. Probability distributions for these systems are generated numerically and the method then yields numerically exact information on the models. Such simulations may be used to see how well a model system approximates a real one or to see how valid the assumptions are in an analytical theory. A short and systematic theoretical introduction to the method forms the first part of this book. The second part is a practical guide with plenty of examples and exercises for the student. Problems treated by simple sampling (random and self-avoiding walks, percolation clusters, etc.) and by importance sampling (Ising models etc.) are included, along with such topics as finite-size effects and guidelines for the analysis of Monte Carlo simulations. The two parts together provide an excellent introduction to the theory and practice of Monte Carlo simulations.
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Table of contents: title: Contents: Introduction: Purpose and Scope of This Volume, and Some General Comments; title: Theoretical Foundations of the Monte Carlo Method and Its Applications in Statistical Physics; title: Guide to Practical Work with the Monte Carlo Method; title: Appendix; title: References; title: Subject Index.