Time-inhomogeneous Fokker-Planck equation for wave distributions in the Abelian sandpile model
Date
2001
Authors
Anton L.
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Numerical hints are used to propose a Fokker-Plank equation (FPE) for the time and size distributions of the waves in the Abelian sandpile model (ASM). This approach is shown the yield an analytical expression for the asymptotic behavior of the avalanche distribution in D = 2 which goes beyond the finite size scaling hypothesis and is in agreement with recent results.
Description
Keywords
Dispersion (waves), Markov processes, Mathematical models, Three dimensional, Two dimensional, Waves, Abelian sandpile model, Fokker-Plank equation, Wave distributions, Wave equations
Citation
Physical Review Letters
86
1
86
1