Tricriticality in generalized Schloegl models for autocatalysis: Lattice-gas realization with particle diffusion

TitleTricriticality in generalized Schloegl models for autocatalysis: Lattice-gas realization with particle diffusion
Publication TypeJournal Article
Year of Publication2012
AuthorsGuo XF, Unruh DK, Liu DJ, Evans JW
Journal TitlePhysica A-Statistical Mechanics and Its Applications
Volume391
Pages633-646
Date Published02
Type of ArticleArticle
ISBN Number0378-4371
Accession NumberWOS:000297779500022
Keywords2nd model, catalysis, Contact process, dynamics, generic 2-phase coexistence, interface propagation, kinetic phase-transitions, model, Non-equilibrium phase transitions, Schloegl's model, surface-reaction, systems, Tricriticality
Abstract

We analyze lattice-gas reaction-diffusion models which include spontaneous annihilation, autocatalytic creation, and diffusion of particles, and which incorporate the particle creation mechanisms of both Schloegl's first and second models. For fixed particle diffusion or hop rate, adjusting the relative strength of these creation mechanisms induces a crossover between continuous and discontinuous transitions to a "poisoned" vacuum state. Kinetic Monte Carlo simulations are performed to map out the corresponding tricritical line as a function of hop rate. An analysis is also provided of the tricritical "epidemic exponent" for the case of no hopping. The phase diagram is also recovered qualitatively by applying mean-field and pair-approximations to the exact hierarchical form of the master equation for these models. (C) 2011 Elsevier B.V. All rights reserved.

URLhttp://www.sciencedirect.com/science?_ob=MiamiImageURL&_cid=271529&_user=716796&_pii=S0378437111006777&_check=y&_origin=&_coverDate=01-Feb-2012&view=c&wchp=dGLbVlS-zSkWA&md5=a1a9dfde697ff074135f677cc0819f41/1-s2.0-S0378437111006777-main.pdf
DOI10.1016/j.physa.2011.08.049
Alternate JournalPhysica A