FIXED-CLUSTER ACCELERATION ALGORITHM FOR SPIN SYSTEMS

Citation
Tb. Liverpool et Sc. Glotzer, FIXED-CLUSTER ACCELERATION ALGORITHM FOR SPIN SYSTEMS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(5), 1996, pp. 4255-4258
Citations number
8
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
53
Issue
5
Year of publication
1996
Part
A
Pages
4255 - 4258
Database
ISI
SICI code
1063-651X(1996)53:5<4255:FAAFSS>2.0.ZU;2-5
Abstract
A recently introduced cluster acceleration algorithm for spin models [ J. Machta et al., Phys. Rev. Lett. 75, 2792 (1995)] based on invasion percolation is generalized to temperatures away from the critical poin t using concepts of random bond percolation. The generalized algorithm is equivalent to an ''optimized'' version of the Swendsen-Wang cluste r algorithm [R. H. Swendsen and J. S. Wang, Phys. Rev. Lett. 58, 86 (1 987)], and we demonstrate its success and speed at all temperatures fo r the d=2 Ising model. We argue that the previously discussed connecti on to self-organized criticality may be viewed as one limit of the fix ed-cluster algorithm.