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

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.