Quadratic contact process: Phase separation with interface-orientation-dependent equistability

TitleQuadratic contact process: Phase separation with interface-orientation-dependent equistability
Publication TypeJournal Article
Year of Publication2007
AuthorsLiu D, Guo XF, Evans JW
Journal TitlePhysical Review Letters
Volume98
Pages050601
Date PublishedFeb
Type of ArticleArticle
ISBN Number0031-9007
Accession NumberISI:000244646100012
KeywordsCRITICAL-BEHAVIOR, REACTION MODELS, systems, TRANSITIONS
Abstract

The quadratic contact process is implemented on a square lattice as a model with random adsorption and correlated desorption requiring empty pairs of diagonal neighbors. The model exhibits a discontinuous phase transition between an active state and an absorbing state, but equistability between these states depends on the orientation of the separating interface. Correspondingly, for a generalized class of models, we find phase coexistence over a finite region of their two-dimensional parameter space. This is in stark contrast to behavior in equilibrium systems.

DOI10.1103/PhysRevLett.98.050601
Alternate JournalPhys. Rev. Lett.