Campus Units
Physics and Astronomy, Mathematics, Ames Laboratory
Document Type
Article
Publication Version
Published Version
Publication Date
2009
Journal or Book Title
Journal of Chemical Physics
Volume
130
Issue
7
First Page
074106-1
Last Page
074106-15
DOI
10.1063/1.3074308
Abstract
We analyze a discontinuous nonequilibrium phase transition between an active (or reactive) state and a poisoned (or extinguished) state occurring in a stochastic lattice-gas realization of Schloegl’s second model for autocatalysis. This realization, also known as the quadratic contact process, involves spontaneous annihilation, autocatalytic creation, and diffusion of particles on a square lattice, where creation at empty sites requires a suitable nearby pair of particles. The poisoned state exists for all annihilation rates p>0 and is an absorbing particle-free “vacuum” state. The populated active steady state exists only for p below a critical value, pe. If pf denotes the critical value below which a finite population can survive, then we show that pf
Rights
Copyright 2009 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
Copyright Owner
American Institute of Physics
Copyright Date
2009
Language
en
File Format
application/pdf
Recommended Citation
Guo, Xiaofang; Liu, Da-Jiang; and Evans, James W., "Schloegl’s second model for autocatalysis with particle diffusion: Lattice-gas realization exhibiting generic two-phase coexistence" (2009). Physics and Astronomy Publications. 199.
https://lib.dr.iastate.edu/physastro_pubs/199
Included in
Astrophysics and Astronomy Commons, Biological and Chemical Physics Commons, Mathematics Commons
Comments
The following article appeared in Journal of Chemical Physics 130, 7 (2009): 074106 and may be found at doi: 10.1063/1.3074308.