A fast solver for the narrow capture and narrow escape problems in the sphere

We present an efficient method to solve the narrow capture and narrow escape problems for the sphere. The narrow capture problem models the equilibrium behavior of a Brownian particle in the exterior of a sphere whose surface is reflective, except for a collection of small absorbing patches. The nar...

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Bibliographic Details
Main Authors: Jason Kaye, Leslie Greengard
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:Journal of Computational Physics: X
Online Access:http://www.sciencedirect.com/science/article/pii/S2590055219300630