Quasi-Stationary Distributions for Models of Heterogeneous Catalysis

Abstract

We construct the quasi-stationary (QS) distribution for two models of heterogeneous catalysis having two absorbing states: the ZGB model for the oxidation of CO, and a version with noninstantaneous reactions. Using a mean-field-like approximation, we study the quasi-stationary surface coverages, moment ratios and the lifetime of the QS state. We also derive an improved, consistent one-site mean-field theory for the ZGB model.

18 pages, 13 figures

References in corpus (3)

• Quasi-stationary distributions for stochastic processes with an absorbing state
• Numerical analysis of the master equation
• Quasi-stationary distributions for the Domany-Kinzel stochastic cellular automaton

Cited by in corpus (10)

• Social consensus through the influence of committed minorities
• Explosive cooperation in social dilemmas on higher-order networks
• Diffusive epidemic process: theory and simulation
• Competing Effects of Social Balance and Influence
• Generic finite size scaling for discontinuous nonequilibrium phase transitions into absorbing states
• Temporal disorder does not forbid discontinuous absorbing phase transitions in low dimensional systems
• Finite-size scaling for discontinuous nonequilibrium phase transitions
• Contact Process on Weighted Planar Stochastic Lattice
• Learn Quasi-stationary Distributions of Finite State Markov Chain
• Nonuniversal critical dynamics on planar random lattices with heterogeneous degree distributions