Abstract
A kinetic description of lattice-gas automaton models for reaction-diffusion systems is presented. It provides corrections to the mean-field rate equations in the diffusion-limited regime. When applied to the two-species Maginu model, the theory gives an excellent quantitative prediction of the effect of slow diffusion on the periodic oscillations of the average concentrations in a spatially homogeneous state.
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Bussemaker, H.J., Brito, R. Theory for diffusion-limited oscillating chemical reactions. J Stat Phys 87, 1165–1178 (1997). https://doi.org/10.1007/BF02181278
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DOI: https://doi.org/10.1007/BF02181278