English

Generalized contact process with two symmetric absorbing states in two dimensions

Statistical Mechanics 2015-03-17 v2

Abstract

We explore the two-dimensional generalized contact process with two absorbing states by means of large-scale Monte-Carlo simulations. In part of the phase diagram, an infinitesimal creation rate of active sites between inactive domains is sufficient to take the system from the inactive phase to the active phase. The system therefore displays two different nonequilibrium phase transitions. The critical behavior of the generic transition is compatible with the generalized voter (GV) universality class, implying that the symmetry-breaking and absorbing transitions coincide. In contrast, the transition at zero domain-boundary activation rate is not critical.

Keywords

Cite

@article{arxiv.1010.3298,
  title  = {Generalized contact process with two symmetric absorbing states in two dimensions},
  author = {Man Young Lee and Thomas Vojta},
  journal= {arXiv preprint arXiv:1010.3298},
  year   = {2015}
}

Comments

7 pages, 7 eps figures included, final version as published

R2 v1 2026-06-21T16:29:20.374Z