Quasi-Stationary Distributions for Models of Heterogeneous Catalysis

TL;DR

This paper constructs and analyzes the quasi-stationary distributions for two models of heterogeneous catalysis, providing insights into their surface coverages, lifetimes, and improving mean-field theories.

Contribution

It introduces a method to construct QS distributions for catalysis models with absorbing states and develops an improved mean-field theory for the ZGB model.

Findings

QS distributions for the models are characterized.

Surface coverages and lifetimes of QS states are analyzed.

An improved mean-field theory for the ZGB model is proposed.

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.