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 universality class, implying that the symmetry-breaking and absorbing transitions coincide. In contrast, the transition at zero domain-boundary activation rate is not critical.
M. Y. Lee and T. Vojta, "Generalized Contact Process with Two Symmetric Absorbing States in Two Dimensions," Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 83, no. 1, American Physical Society (APS), Jan 2011.
The definitive version is available at https://doi.org/10.1103/PhysRevE.83.011114
Keywords and Phrases
Absorbing state; Activation rates; Active site; Contact process; Critical behavior; Generic transition; Inactive phase; Monte Carlo Simulation; Nonequilibrium phase transitions; Symmetric absorbing state; Symmetry-breaking; Two-dimension; Universality class; Phase diagrams
International Standard Serial Number (ISSN)
Article - Journal
© 2011 American Physical Society (APS), All rights reserved.
01 Jan 2011