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paper

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

arXiv:cond-mat/0304386 · doi:10.1023/B:JOSS.0000003105.50683.c6

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.

6 pages, 3 figures