Dynamical disorder in diffusion-limited reactions
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.
Year of publication: |
2002
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Authors: | Moreau, M. ; Oshanin, G. ; Bénichou, O. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 306.2002, C, p. 169-179
|
Publisher: |
Elsevier |
Saved in:
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