Metastability in Schloegl's second model for autocatalysis: Lattice-gas realization with particle diffusion

TitleMetastability in Schloegl's second model for autocatalysis: Lattice-gas realization with particle diffusion
Publication TypeJournal Article
Year of Publication2010
AuthorsGuo XF, De Decker Y, Evans JW
Journal TitlePhysical Review E
Volume82
Pages021121
Date Published8/23
ISBN Number1539-3755
Accession NumberISI:000281140000001
Keywordsadsorbates, behavior, catalysis, dynamics, interface propagation, kinetic phase-transitions, relaxation, states, surface-reaction model, systems
Abstract

We analyze metastability associated with a discontinuous nonequilibrium phase transition in a stochastic lattice-gas realization of Schloegl's second model for autocatalysis. This model realization involves spontaneous annihilation, autocatalytic creation, and diffusion of particles on a square lattice, where creation at empty sites requires an adjacent diagonal pair of particles. This model, also known as the quadratic contact process, exhibits discontinuous transition between a populated active state and a particle-free vacuum or "poisoned" state, as well as generic two-phase coexistence. The poisoned state exists for all particle annihilation rates p>0 and hop rates h >= 0 and is an absorbing state in the sense of Markovian processes. The active or reactive steady state exists only for p below a critical value, p(e)=p(e)(h), but a metastable extension appears for a range of higher p up to an effective upper spinodal point, p(s+)=p(s+)(h) (i.e., p(s+)>p(e)). For selected h, we assess the location of p(s+)(h) by characterizing both the poisoning kinetics and the propagation of interfaces separating vacuum and active states as a function of p.

URL<Go to ISI>://000281140000001
DOI10.1103/Physreve.82.021121