Physics and Astronomy, Mathematics, Ames Laboratory
Journal or Book Title
Physical Review E
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>0and 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, pe=pe(h), but a metastable extension appears for a range of higher p up to an effective upper spinodal point, ps+=ps+(h) (i.e., ps+>pe). For selected h, we assess the location of ps+(h) by characterizing both the poisoning kinetics and the propagation of interfaces separating vacuum and active states as a function of p.
American Physical Society
Guo, Xiaofang; Decker, Y. De; and Evans, James W., "Metastability in Schloegl’s second model for autocatalysis: Lattice-gas realization with particle diffusion" (2010). Physics and Astronomy Publications. 191.