Novel criticality in a model with absorbing states

Details Novel criticality in a model with absorbing states Novel criticality in a model with absorbing states

2000-07-26

arxiv.org/abs/cond-mat/0007411v2

Phys.Rev.E 63, 026105 (2001)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.63.026105

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.

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