Phase Transitions in a Nonequilibrium Percolation Model
Statistical Mechanics
2009-10-30 v1
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.
Cite
@article{arxiv.cond-mat/9705104,
title = {Phase Transitions in a Nonequilibrium Percolation Model},
author = {Siegfried Clar and Barbara Drossel and Klaus Schenk and Franz Schwabl},
journal= {arXiv preprint arXiv:cond-mat/9705104},
year = {2009}
}
Comments
48 pages RevTeX incl. 20 figures, to appear in Physical Review E