Time-Inhomogeneous Fokker-Planck Equation for Wave Distributions in the Abelian Sandpile Model

Anton1

  • 1Institute for Theoretical Physics, University of Stellenbosch, Private Bag X1, 7602 Matieland, South Africa and and Institute of Atomic Physics, INFLPR, Lab 22, P.O. Box MG-36 R76900, Bucharest, Romania.

Physical Review Letters
|January 3, 2001
PubMed
Summary

This study links Abelian sandpile model dynamics to Fokker-Planck equations, estimating critical exponents and dimensions for loop-erased random walks. Findings reveal avalanche size distributions as differences between power laws.

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