Dimensional reduction in a model with infinitely many absorbing states

Abstract

Using Monte Carlo method we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent beta=0.273(5) suggests that the model belongs to the (1+1) rather than (2+1) directed-percolation universality class. We also show that for a large class of absorbing states the dynamic Monte Carlo method leads to spurious dynamical transitions.

6 pages, 4 figures, Phys.Rev. E, Dec. 1999

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