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The role of the diffusive interaction in time-dependent diffusion-limited reactions

✍ Scribed by S.D. Traytak

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 636 KB
Volume: 227
Category: Article
ISSN: 0009-2614
DOI: 10.1016/0009-2614(94)00813-2

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✦ Synopsis

The time-dependent diffusive interaction in systems of neutral immobile three-dimensional sinks is treated. The critical spatial and temporal values defining the the strength of the diffusion interaction in one-, two-and three-dimensional arrays of sinks are established. It is shown that in large but finite arrays immersed in the medium with diffusing particles the bulk concentration of the latter decays slower than predicted by the classical kinetics law. Moreover, it is shown that the classical kinetics law results from the diffusive interaction between the sinks. In finite systems the relaxation rate is time-dependent due to competition between the sinks. An explanation for the difference in concentration dependence of the rate constant in random and periodic infinite arrays of sinks is proposed using an analogy with the phase transitions of the second kind.

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