Analytic approach to stochastic cellular automata: exponential and inverse power distributions out of Random Domino Automaton

Details Analytic approach to stochastic cellular automata: exponential and inverse power distributions out of Random Domino Automaton Analytic approach to stochastic cellular automata: exponential and inverse power distributions out of Random Domino Automaton

2010-09-23

arxiv.org/abs/1009.4609v2

Nonlinear Sciences

Cellular Automata and Lattice Gases

improved, new material added; 9 pages, 3 figures, 2 tables

Scientific paper

Inspired by extremely simplified view of the earthquakes we propose the stochastic domino cellular automaton model exhibiting avalanches. From elementary combinatorial arguments we derive a set of nonlinear equations describing the automaton. Exact relations between the average parameters of the model are presented. Depending on imposed triggering, the model reproduces both exponential and inverse power statistics of clusters.

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