Correlation Length from Cluster-diameter Distribution
نویسنده
چکیده
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.
منابع مشابه
Monte Carlo study of cluster-diameter distribution: An observable to estimate correlation lengths
We report numerical simulations of two-dimensional q-state Potts models with emphasis on a new quantity for the computation of spatial correlation lengths. This quantity is the cluster-diameter distribution function G(x), which measures the distribution of the diameter of stochastically defined cluster. Theoretically it is predicted to fall off exponentially for large diameter x , G}exp(2x/j), ...
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