Introduction to cluster Monte Carlo algorithms

E. Luijten*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

7 Scopus citations


This chapter provides an introduction to cluster Monte Carlo algorithms for classical statistical-mechanical systems. A brief review of the conventional Metropolis algorithm is given, followed by a detailed discussion of the lattice cluster algorithm developed by Swendsen and Wang and the single-cluster variant introduced by Wolff. For continuum systems, the geometric cluster algorithm of Dress and Krauth is described. It is shown how their geometric approach can be generalized to incorporate particle interactions beyond hardcore repulsions, thus forging a connection between the lattice and continuum approaches. Several illustrative examples are discussed.

Original languageEnglish (US)
Title of host publicationComputer Simulations in Condensed Matter Systems
Subtitle of host publicationFrom Materials to Chemical Biology Volume 1
EditorsMauro Ferrario, Giovanni Ciccotti, Kurt Binder
Number of pages26
StatePublished - Dec 1 2006

Publication series

NameLecture Notes in Physics
ISSN (Print)0075-8450

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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