Generalized contact process with two symmetric absorbing states in two dimensions

Details Generalized contact process with two symmetric absorbing states in two dimensions Generalized contact process with two symmetric absorbing states in two dimensions

2010-10-15

arxiv.org/abs/1010.3298v2

Phys. Rev. E 83, 011114 (2011)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.83.011114

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.

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