Dynamic Critical Behavior of the Swendsen-Wang Algorithm: The Two-Dimensional 3-State Potts Model Revisited
High Energy Physics - Lattice
2014-11-17 v2 Condensed Matter
Abstract
We have performed a high-precision Monte Carlo study of the dynamic critical behavior of the Swendsen-Wang algorithm for the two-dimensional 3-state Potts model. We find that the Li-Sokal bound () is almost but not quite sharp. The ratio seems to diverge either as a small power () or as a logarithm.
Cite
@article{arxiv.hep-lat/9605018,
title = {Dynamic Critical Behavior of the Swendsen-Wang Algorithm: The Two-Dimensional 3-State Potts Model Revisited},
author = {Jesus Salas and Alan D. Sokal},
journal= {arXiv preprint arXiv:hep-lat/9605018},
year = {2014}
}
Comments
35 pages including 3 figures. Self-unpacking file containing the LaTeX file, the needed macros (epsf.sty, indent.sty, subeqnarray.sty, and eqsection.sty) and the 3 Postscript figures. Revised version fixes a normalization error in \xi (with many thanks to Wolfhard Janke for finding the error!). To be published in J. Stat. Phys. 87, no. 1/2 (April 1997)