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

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

2003-04-17

arxiv.org/abs/cond-mat/0304386v1

Journal of Statistical Physics, Vol. 114, 101 (2004)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures

Scientific paper

10.1023/B:JOSS.0000003105.50683.

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.

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