Criticality in a model with absorbing states.
We study a one-dimensional model that undergoes a transition between an active and an absorbing phase. Monte Carlo simulations supported by some additional arguments prompted us to predict the exact location of the critical point and critical exponents in this model. The exponents delta=0.5 and z=2 follows from random-walk-type arguments. The exponents beta=nu( perpendicular) are found to be nonuniversal and encoded in the singular part of reactivation probability, as recently discussed by H. Hinrichsen (cond-mat/0008179). A related model with quenched randomness is also studied.
Lipowski
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Department of Physics, A. Mickiewicz University, Ulica Umultowska 85, 61-614 Poznań, Poland. lipowski@main.amu.edu.pl