Abstract
We formulate, solve, and examine an elementary model of gated absorption, where the reactivity of a sphere fluctuates in time, in the context of Smolukowski’s diffusion-controlled rate processes. Interest in this problem was stimulated by some experiments on biomolecular rate processes in the 1970s. The model under discussion here was studied by a number of investigators in the 1980s, and interest is renewed by the discovery of resonant activation in the 1990s. We find that the simplest gated reaction process does not exhibit features characteristic of resonant activation, although some interesting nonequilibrium correlations may have a quantitative effect in some situations. We speculate on the possible appearance of resonant activation phenomena in related processes.
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Doering, C.R. (2000). Effect of Boundary Condition Fluctuations on Smoluchowski Reaction Rates. In: Freund, J.A., Pöschel, T. (eds) Stochastic Processes in Physics, Chemistry, and Biology. Lecture Notes in Physics, vol 557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45396-2_29
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DOI: https://doi.org/10.1007/3-540-45396-2_29
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