Omar Al Hammal, Hugues Chaté, Ivan Dornic, Miguel A. Muñoz
Published 2004-11-29, updated 2005-06-14Version 2
On the basis of general considerations, we propose a Langevin equation accounting for critical phenomena occurring in the presence of two symmetric absorbing states. We study its phase diagram by mean-field arguments and direct numerical integration in physical dimensions. Our findings fully account for and clarify the intricate picture known so far from the aggregation of partial results obtained with microscopic models. We argue that the direct transition from disorder to one of two absorbing states is best described as a (generalized) voter critical point and show that it can be split into an Ising and a directed percolation transitions in dimensions larger than one.
Comments: Cosmetical modifications: published version. See also cond-mat/0505170
Journal: Phys. Rev. Lett. 94, 230601 (2005)
Critical phenomena in presence of symmetric absorbing states: a microscopic spin model with tunable parameters
Noise-induced dynamical transition in systems with symmetric absorbing states
Critical Phenomena and Diffusion in Complex Systems
