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Universality class of nonequilibrium phase transitions with infinitely many-absorbing-states

By F. Van Wijland

Abstract

4 pagesWe consider systems whose steady-states exhibit a nonequilibrium phase transition from an active state to one -among an infinite number- absorbing state, as some control parameter is varied across a threshold value. The pair contact process, stochastic fixed-energy sandpiles, activated random walks and many other cellular automata or reaction-diffusion processes are covered by our analysis. We argue that the upper critical dimension below which anomalous fluctuation driven scaling appears is d_c=6, in contrast to a widespread belief (see Dickman cond-mat 0110043 for an overview). We provide the exponents governing the critical behavior close to or at the transition point to first order in a 6-d expansion

Topics: [PHYS.COND.CM-SM] Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]
Publisher: American Physical Society
Year: 2002
OAI identifier: oai:HAL:hal-00012900v1
Provided by: Hal-Diderot
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