Calculation of the transition matrix and of the occupation probabilities for the states of the Oslo sandpile model

Alvaro Corral

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10 Citations (Scopus)

Abstract

The cellular automaton model known as Oslo sandpile model is described which is designed to model experiments on granular piles displaying self-organized criticality (SOC). The transition probabilities between different configurations of system is determined by an analytical treatment. The stationary occupation distribution is obtained by theory of Markov chains which describes occupation of phase space with probabilities. The Oslo sandpile model calculates avalanche-size distribution and complexity of this model is built with an increase in number of elements.
Original languageEnglish
Article number026107
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume69
Issue number2 2
DOIs
Publication statusPublished - 1 Feb 2004

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