%0 Journal Article
%J Physical Review E
%D 2010
%T Metastability in Schloegl's second model for autocatalysis: Lattice-gas realization with particle diffusion
%A Guo, X. F.
%A De Decker, Y.
%A Evans, J. W.
%K adsorbates
%K behavior
%K catalysis
%K dynamics
%K interface propagation
%K kinetic phase-transitions
%K relaxation
%K states
%K surface-reaction model
%K systems
%M ISI:000281140000001
%P 021121
%R 10.1103/Physreve.82.021121
%U ://000281140000001
%V 82
%X 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.
%Z Part 1641PGTimes Cited:0Cited References Count:43
%8 8/23
%@ 1539-3755