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Discontinuous non-equilibrium phase transition in a threshold Schloegl model for autocatalysis: Generic two-phase coexistence and metastability

TitleDiscontinuous non-equilibrium phase transition in a threshold Schloegl model for autocatalysis: Generic two-phase coexistence and metastability
Publication TypeJournal Article
Year of Publication2015
AuthorsWang, CJ, Liu, DJ, Evans, JW
JournalJournal of Chemical Physics
Volume142
Pagination164105
Date Published04
Type of ArticleArticle
ISBN Number0021-9606
Accession NumberWOS:000353832500007
Keywords2nd model, contact process, interface propagation, kinetics, mean-field, nonergodic behavior, relaxation, stochastic spatial models, surface-reaction model, systems
Abstract

= 2 for the minimum number, N, of neighboring particles enabling autocatalytic creation at an empty site. Fundamental open questions remain given the lack of a thermodynamic framework for analysis. For a square lattice with N = 2, we show that phase coexistence occurs not at a unique value but for a finite range of particle annihilation rate (the natural control parameter). This generic two-phase coexistence also persists when perturbing the model to allow spontaneous particle creation. Such behavior contrasts both the Gibbs phase rule for thermodynamic systems and also previous analysis for this model. We find metastability near the transition corresponding to a non-zero effective line tension, also contrasting previously suggested critical behavior. Mean-field type analysis, extended to treat spatially heterogeneous states, further elucidates model behavior. (C) 2015 AIP Publishing LLC.

DOI10.1063/1.4918908
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Chemical Physics