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Cluster algorithm for hard spheres and related systems

C Dress and W Krauth

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In this paper, we present a cluster algorithm for the simulation of hard spheres and related systems. In this algorithm, a copy of the configuration is rotated with respect to a randomly chosen pivot point. The two systems are then superposed, and clusters of overlapping spheres in the joint system are isolated. Each of these clusters can be `flipped` independently, a process which generates non-local moves in the original configuration. A generalization of this algorithm (which works perfectly well at small density) can be made to work successfully at densities around the solid-liquid transition point in the two-dimensional hard-sphere system.


PACS

05.10.Ln Monte Carlo methods

05.70.Jk Critical point phenomena

05.70.Fh Phase transitions: general studies

64.70.D- Solid–liquid transitions

MSC

62H30 Classification and discrimination; cluster analysis (See also 68T10)

82B27 Critical phenomena

82B26 Phase transitions (general)

82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)

Subjects

Computational physics

Condensed matter: structural, mechanical & thermal

Statistical physics and nonlinear systems

Dates

Issue 23 (7 December 1995)



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