Dynamical disorder in diffusion-limited reactions

M. Moreau, G. Oshanin and O. Bénichou

Physica A: Statistical Mechanics and its Applications, 2002, vol. 306, issue C, 169-179

Abstract: We consider a simple model of annihilation reaction, when particles are located on a regular lattice, one of them presenting a fluctuating activity. Time-correlated fluctuations are addressed. The reaction probability and the reaction function are determined exactly. It is shown that the usual, mean-field theory of chemical kinetics does not hold. In particular, the classical law of chemical kinetics does not apply in low dimensions. In three dimensions, a chemical constant exists and it increases with the relaxation frequency of the fluctuations λ. Previously known results are recovered in the limit case of uncorrelated fluctuations, when λ→∞. Different related models, which cannot be solved exactly, are discussed in this limit case.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:306:y:2002:i:c:p:169-179

DOI: 10.1016/S0378-4371(02)00495-8

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