Langevin description of critical phenomena with two symmetric absorbing states

Details Langevin description of critical phenomena with two symmetric absorbing states Langevin description of critical phenomena with two symmetric absorbing states

2004-11-29

arxiv.org/abs/cond-mat/0411693v2

Phys. Rev. Lett. 94, 230601 (2005)

Physics

Condensed Matter

Statistical Mechanics

Cosmetical modifications: published version. See also cond-mat/0505170

Scientific paper

10.1103/PhysRevLett.94.230601

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.

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