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Diffusion-controlled reactions among stationary sinks

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Abstract

We summarize results of some of our calculations in diffusion-controlled reaction theory. We derive the transport equation describing a diffusing species which can react with a set of randomly distributed spherical sinks. Both the form of the transport equation and the dependence on sink volume fraction of the reaction rate and the effective diffusion coefficient are discussed.

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Supported in part by the National Science Foundation under Grant No. CHE-78-07849.

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Cukier, R.I. Diffusion-controlled reactions among stationary sinks. J Stat Phys 30, 383–389 (1983). https://doi.org/10.1007/BF01012312

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