Crossover between mean-field and Ising critical behavior in a lattice-gas reaction-diffusion model

TL;DR

This paper investigates how a lattice-gas reaction-diffusion model for CO oxidation transitions from Ising to mean-field critical behavior, influenced by surface mobility and system size, revealing a crossover phenomenon.

Contribution

It demonstrates a crossover from Ising to mean-field critical behavior in a lattice-gas model, linked to surface mobility and system size, using finite-size-scaling analysis.

Findings

Crossover from Ising to mean-field behavior observed

Surface mobility influences critical behavior

Finite-size effects are significant in the transition

Abstract

Lattice-gas models for CO oxidation can exhibit a discontinuous nonequilibrium transition between reactive and inactive states, which disappears above a critical CO-desorption rate. Using finite-size-scaling analysis, we demonstrate a crossover from Ising to mean-field behavior at the critical point, with increasing surface mobility of adsorbed CO or with decreasing system size. This behavior is elucidated by analogy with that of equilibrium Ising-type systems with long-range interactions.