Phase Transitions in a Nonequilibrium Percolation Model

Details Phase Transitions in a Nonequilibrium Percolation Model Phase Transitions in a Nonequilibrium Percolation Model

1997-05-12

arxiv.org/abs/cond-mat/9705104v1

Physics

Condensed Matter

Statistical Mechanics

48 pages RevTeX incl. 20 figures, to appear in Physical Review E

Scientific paper

10.1103/PhysRevE.56.2467

We investigate the percolation properties of a two-state (occupied - empty) cellular automaton, where at each time step a cluster of occupied sites is removed and the same number of randomly chosen empty sites are occupied again. We find a finite region of critical behavior, formation of synchronized stripes, additional phase transitions, as well as violation of the usual finite-size scaling and hyperscaling relations, phenomena that are very different from conventional percolation systems. We explain the mechanisms behind all these phenomena using computer simulations and analytic arguments.

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