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• W2072877824 abstract "We investigated the fractional power dependence of the mean lifetime on a time scale of environment relaxation for first order reactions described in terms of the reaction–diffusion equation with bounded diffusion. Modifying the static (nondiffusing) approximation so that the decay rate at long times becomes correct, we calculated the values of the powers in the slow diffusion limit. As a result, they were found to be fractional, depending on the sink term and the initial condition. The values of the powers obtained by the theory are in agreement with those found by direct numerical calculations for slow diffusion. In the case of the harmonic sink, we proved that the theory gives the correct values of the powers in the slow diffusion limit." @default.
• W2072877824 created "2016-06-24" @default.
• W2072877824 creator A5054898922 @default.
• W2072877824 date "2000-05-15" @default.
• W2072877824 modified "2023-10-16" @default.
• W2072877824 title "Fractional power dependence of the mean lifetime of a first order reaction on the time scale of environment relaxation in the slow diffusion limit" @default.
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• W2072877824 doi "https://doi.org/10.1063/1.481461" @default.
• W2072877824 hasPublicationYear "2000" @default.
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