TY - CHAP

T1 - Introduction to cluster Monte Carlo algorithms

AU - Luijten, E.

PY - 2006/12/1

Y1 - 2006/12/1

N2 - 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.

AB - 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.

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U2 - 10.1007/3-540-35273-2_1

DO - 10.1007/3-540-35273-2_1

M3 - Chapter

AN - SCOPUS:33947198644

SN - 3540352708

SN - 9783540352709

T3 - Lecture Notes in Physics

SP - 13

EP - 38

BT - Computer Simulations in Condensed Matter Systems

A2 - Ferrario, Mauro

A2 - Ciccotti, Giovanni

A2 - Binder, Kurt

ER -