Reaction and adsorption on multifractal substrates

Paul Meakin

Physica A: Statistical Mechanics and its Applications, 1989, vol. 155, issue 1, 21-36

Abstract: The simple diffusion-limited reactions A + A → 0 (reaction I) and A + B → 0 (reaction II) have been studied on lattices with a multifractal distribution of site occupation probabilities. For reaction I, ϱA ≈ t-α, and, for reaction II, ϱA ≈ t-β (for ϱA = ϱB), in the long time limit. The values obtained for the exponents α and β are consistent with the idea that α = 2/DW and β = 1/DW where DW is the fractal dimensionality of a random walk on the multifractal substrate. A quite different value is found for β if only one of the two species is allowed to move.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:155:y:1989:i:1:p:21-36

DOI: 10.1016/0378-4371(89)90049-6

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