On the Probability of Occurrence of Clusters in Abelian Sandpile Model

2004/10/04 by M. Moradi, S. Rouhani, Moradi, M. +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0410053

4 pages, 2 figures

arxiv created 2004/12/04 · arxiv updated 2009/12/01

Abstract

We have performed extensive simulations on the Abelian Sandpile Model (ASM) on square lattice. We have estimated the probability of observation of many clusters. Some are in good agreement with previous analytical results, while some show discrepancies between simulation and analytical results.

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