%0 Journal Article
%J Journal of Chemical Physics
%D 2009
%T Schloegl's second model for autocatalysis with particle diffusion: Lattice-gas realization exhibiting generic two-phase coexistence
%A Guo, X. F.
%A Liu, D. J.
%A Evans, J. W.
%K adsorbates
%K behavior
%K catalysis
%K diffusion
%K interface propagation
%K kinetics
%K lattice gas
%K nonequilibrium thermodynamics
%K nucleation
%K phase transformations
%K phase-transitions
%K reactive systems
%K relaxation
%K stochastic processes
%K surface-reaction
%M ISI:000263599300007
%P 074106
%R 10.1063/1.3074308
%U ://000263599300007
%V 130
%X 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, p(e). If p(f) denotes the critical value below which a finite population can survive, then we show that p(f)< p(e). This strict inequality contrasts a postulate of Durrett, and is a direct consequence of the occurrence of coexisting stable active and poisoned states for a finite range p(f)<= p <= p(e) (which shrinks with increasing diffusivity). This so-called generic two-phase coexistence markedly contrasts behavior in thermodynamic systems. However, one still finds metastability and nucleation phenomena similar to those in discontinuous equilibrium transitions.
%Z 410STTimes Cited:0Cited References Count:53
%8 02/21
%@ 0021-9606