Dimensional reduction in a model with infinitely many absorbing states

Details Dimensional reduction in a model with infinitely many absorbing states Dimensional reduction in a model with infinitely many absorbing states

1999-10-04

arxiv.org/abs/cond-mat/9910029v1

Phys.Rev. E60, R6255 (1999)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.60.R6255

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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