Correlation length from cluster-diameter distribution
نویسندگان
چکیده
منابع مشابه
Correlation Length from Cluster-diameter Distribution
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 ...
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We analyze subsamples of Abell and ACO cluster catalogs, in order to study the spatial properties of the large scale matter distribution. The subsamples analyzed are estimated to be nearly complete and are the standard ones used in the correlation analysis by various authors. The statistical analysis of cluster correlations is performed without any assumptions on the nature of the distribution ...
متن کاملMonte 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), ...
متن کاملMonte Carlo Study of Cluster-Diameter Distribution: A New 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 Gdiam(x), which measures the distribution of the diameter of stochastically defined cluster. Theoretically it is predicted to fall off exponentially for large diameter x, Gdiam ∝ ex...
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ژورنال
عنوان ژورنال: Nuclear Physics B - Proceedings Supplements
سال: 1996
ISSN: 0920-5632
DOI: 10.1016/0920-5632(96)00141-7