Nonequilibrium Phase Transition and Self-Organized Criticality in a Sandpile Model with Stochastic Dynamics

Details Nonequilibrium Phase Transition and Self-Organized Criticality in a Sandpile Model with Stochastic Dynamics Nonequilibrium Phase Transition and Self-Organized Criticality in a Sandpile Model with Stochastic Dynamics

1996-05-07

arxiv.org/abs/cond-mat/9605037v1

Phys. Rev. E 53, 2182 (1996)

Physics

Condensed Matter

8 pages, including 10 pictures

Scientific paper

10.1103/PhysRevE.53.2182

We introduce and study numerically a directed two-dimensional sandpile automaton with probabilistic toppling (probability parameter p) which provides a good laboratory to study both self-organized criticality and the far-from-equilibrium phase transition. In the limit p=1 our model reduces to the critical height model in which the self-organized critical behavior was found by exact solution [D. Dhar and R. Ramaswamy, Phys. Rev. Lett. 63, 1659 (1989)]. For 0

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