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• W2023983995 abstract "We generalize the notion of ‘‘mean survival time’’ in diffusion processes, which characterizes the disappearance of probability density from the whole coordinate space into boundaries or sinks, by introducing ‘‘mean residence time,’’ characterizing the time spent in a portion of the coordinate space. In particular, the time integral of the transition probability (Green’s function) is the average residence time density at a point. It is a function of both initial and final variables and fulfills two differential equations, one for each variable. We demonstrate the solution of these equations and compare it to the time integral of the direct solution of the diffusion equation. We present the general solution for spherically symmetric diffusion, and compare it to results in the literature." @default.
• W2023983995 created "2016-06-24" @default.
• W2023983995 creator A5074795835 @default.
• W2023983995 date "1984-10-15" @default.
• W2023983995 modified "2023-10-10" @default.
• W2023983995 title "Residence times in diffusion processes" @default.
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• W2023983995 doi "https://doi.org/10.1063/1.448113" @default.
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