Mean avalanche sizes in sandpile models with time-dependent toppling rules
Physics Department, University of Wuppertal - 42097 Wuppertal, Germany
Accepted: 2 October 1996
Based on the methods developed by Dhar we calculate the mean size of avalanches for several sandpile-type models with stochastic toppling rules. We show that the concept of the toppling matrix is applicable to more general models than the derivation of the formalism of D. Dhar (Phys. Rev. Lett., 64 (1990) 1613) suggests.
PACS: 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion / 05.60.+w – Transport processes: theory / 46.10.+z – Mechanics of discrete systems
© EDP Sciences, 1996