Quantum Physics Division
Faculty of PhysicsAdam Mickiewicz University

Criticality in a model with absorbing states

A. Lipowski1

1 Department of Physics, Adam Mickiewicz University, ul. Umultowska 85, 61-614, Poznań, Poland

Physical Review E, 64, 026105 (2001)
DOI: 10.1103/PhysRevE.63.026105


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 δ=0.5 and z=2 follows from random-walk-type arguments. The exponents β=ν⊥ 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.


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