Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity

Details Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity

1993-11-23

arxiv.org/abs/hep-lat/9311036v1

Phys.Lett. B322 (1994) 316-322

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages including 5 postscript figures, epsf.sty latex

Scientific paper

10.1016/0370-2693(94)91159-2

We simulate single and multiple Ising models coupled to 2-d gravity using both the Swendsen-Wang and Wolff algorithms to update the spins. We study the integrated autocorrelation time and find that there is considerable critical slowing down, particularly in the magnetization. We argue that this is primarily due to the local nature of the dynamical triangulation algorithm and to the generation of a distribution of baby universes which inhibits cluster growth.

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