Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity
High Energy Physics - Lattice
2009-10-22 v1 Condensed Matter
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/9311036,
title = {Critical Slowing Down of Cluster Algorithms for Ising Models Coupled to 2-d Gravity},
author = {M. Bowick and M. Falcioni and G. Harris and E. Marinari},
journal= {arXiv preprint arXiv:hep-lat/9311036},
year = {2009}
}
Comments
7 pages including 5 postscript figures, epsf.sty latex