Novel criticality in a model with absorbing states

Abstract

We study a one-dimensional model which undergoes a transition between an active and an absorbing phase. Monte Carlo simulations supported by some additional arguments prompted as 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 $\beta ={\nu }_{\perp }$ are found to be non-universal 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.

5 pages, 5 figures, generalized version with the continuously changing exponent beta

References in corpus (4)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Phase Transitions in one-dimensional nonequilibrium systems
• First order phase transition with a logarithmic singularity in a model with absorbing states
• Generic Criticality in a Model of Evolution

Cited by in corpus (1)

• Criticality of natural absorbing states