Fractal properties of relaxation clusters and phase transition in a stochastic sandpile automaton

Details Fractal properties of relaxation clusters and phase transition in a stochastic sandpile automaton Fractal properties of relaxation clusters and phase transition in a stochastic sandpile automaton

1995-02-24

arxiv.org/abs/cond-mat/9502107v1

Physics

Condensed Matter

11 pages

Scientific paper

We study numerically the spatial properties of relaxation clusters in a two dimensional sandpile automaton with dynamic rules depending stochastically on a parameter p, which models the effects of static friction. In the limiting cases p=1 and p=0 the model reduces to the critical height model and critical slope model, respectively. At p=p_c, a continuous phase transition occurs to the state characterized by a nonzero average slope. Our analysis reveals that the loss of finite average slope at the transition is accompanied by the loss of fractal properties of the relaxation clusters.

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