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

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

2002-09-09

arxiv.org/abs/cond-mat/0209202v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, to appear in the Physical Review Letters

Scientific paper

10.1103/PhysRevLett.89.190602

We 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.

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