English

Correlation Length From Cluster-Diameter Distribution

High Energy Physics - Lattice 2009-10-28 v1

Abstract

We report numerical estimates of correlation lengths in 2D Potts models from the asymptotic decay of the cluster-diameter distribution. Using this observable we are able to verify theoretical predictions for the correlation length in the disordered phase at the transition point for q=10q=10, 15, and 20 with an accuracy of about 11%-2%. This is a considerable improvement over previous measurements using the standard (projected) two-point function.

Keywords

Cite

@article{arxiv.hep-lat/9509057,
  title  = {Correlation Length From Cluster-Diameter Distribution},
  author = {Wolfhard Janke and Stefan Kappler},
  journal= {arXiv preprint arXiv:hep-lat/9509057},
  year   = {2009}
}

Comments

4 pages, PostScript, contribution to LATTICE95. See also http://www.cond-mat.physik.uni-mainz.de/~janke/doc/home_janke.html