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Phase Transitions in a Nonequilibrium Percolation Model

Siegfried Clar·Barbara Drossel·Klaus Schenk·Franz Schwabl
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Abstract

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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BibTeXRIS

Siegfried Clar, Barbara Drossel, Klaus Schenk, Franz Schwabl. 1997-05-12. Phase Transitions in a Nonequilibrium Percolation Model. https://doi.org/10.1103/physreve.56.2467

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