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Article
Tricriticality in generalized Schloegl models for autocatalysis: Lattice-gas realization with particle diffusion
Physica A: Statistical Mechanics and its Applications
  • Xiaofang Guo, Iowa State University
  • Daniel K. Unruh, Iowa State University
  • Da-Jiang Liu, Ames Laboratory
  • James W. Evans, Iowa State University
Document Type
Article
Publication Version
Submitted Manuscript
Publication Date
2-1-2012
DOI
10.1016/j.physa.2011.08.049
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.

Comments

NOTICE: this is the author’s version of a work that was accepted for publication in Physica A: Statistical Mechanics and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica A: Statistical Mechanics and its Applications, vol.391, issue 3, (2012), doi: 10.1016/j.physa.2011.08.049.

Copyright Owner
Elsevier B.V.
Language
en
File Format
application/pdf
Citation Information
Xiaofang Guo, Daniel K. Unruh, Da-Jiang Liu and James W. Evans. "Tricriticality in generalized Schloegl models for autocatalysis: Lattice-gas realization with particle diffusion" Physica A: Statistical Mechanics and its Applications Vol. 391 Iss. 3 (2012) p. 633 - 646
Available at: http://works.bepress.com/james-evans/124/