Dimensional reduction in a model with infinitely many absorbing states.
Using the Monte Carlo method, we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent beta is approximately equal to 0.273(5) suggests that the model belongs to the (1+1) rather than to (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.
Lipowski
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Department of Mathematics, Heriot-Watt University, EH14 4AS Edinburgh, United Kingdom.