Mean first-passage time to a small absorbing target in an elongated planar domain

Mean first-passage time to a small absorbing target in an elongated planar domain

We derive an approximate but fully explicit formula for the mean first-passage time (MFPT) to a small absorbing target of arbitrary shape in a general elongated domain in the plane. Our approximation combines conformal mapping, boundary homogenisation, and Fick–Jacobs equation to express the MFPT in...

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Bibliographic Details
Main Authors: Denis S. Grebenkov, Alexei T. Skvortsov
Format: Article
Language:English
Published: IOP Publishing 2020-01-01
Series:New Journal of Physics
Subjects:
diffusion
first-passage time
homogenisation
reactivity
elongated domain
Online Access:https://doi.org/10.1088/1367-2630/abc91f

Internet

https://doi.org/10.1088/1367-2630/abc91f

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