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Monte Carlo Methods in Statistical Physics

Online ISBN:
9781383023237
Print ISBN:
9780198517962
Publisher:
Oxford University Press
Book

Monte Carlo Methods in Statistical Physics

M E J Newman,
M E J Newman
Santa Fe Institute
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G T Barkema
G T Barkema
Institute for Theorectical Physics Utrecht University
Santa Fe Institute
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Published online:
31 October 2023
Published in print:
11 February 1999
Online ISBN:
9781383023237
Print ISBN:
9780198517962
Publisher:
Oxford University Press

Abstract

This book provides an introduction to Monte Carlo simulations in classical statistical physics and is aimed both at students beginning work in the field and at more experienced researchers who wish to learn more about Monte Carlo methods. The material covered includes methods for both equilibrium and out of equilibrium systems, and common algorithms like the Metropolis and heat-bath algorithms are discussed in detail, as well as more sophisticated ones such as continuous time Monte Carlo, cluster algorithms, multigrid methods, entropic sampling and simulated tempering. Data analysis techniques are also explained starting with straightforward measurement and error-estimation techniques and progressing to topics such as the single and multiple histogram methods and finite size scaling. The last few chapters of the book are devoted to implementation issues, including discussions of such topics as lattice representations, efficient implementation of data structures, multispin coding, parallelization of Monte Carlo algorithms, and random number generation. At the end of the book the authors give a number of example programs demonstrating the applications of these techniques to a variety of well-known models.

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