Correlation Length From Cluster-Diameter Distribution

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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

Scientific paper

10.1016/0920-5632(96)00141-7

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 $q=10$, 15, and 20 with an accuracy of about $1%-2%$. This is a considerable improvement over previous measurements using the standard (projected) two-point function.

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