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Dimensional reduction in a model with infinitely many absorbing states

Adam Lipowski
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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.

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Adam Lipowski. 1999-10-04. Dimensional reduction in a model with infinitely many absorbing states. https://doi.org/10.1103/physreve.60.r6255

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