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arXiv · 2107.01403

Narrow escape problem in the presence of the force field

Medet Nursultanov·William Trad·Leo Tzou
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Abstract

This paper considers the narrow escape problem of a Brownian particle within a three-dimensional Riemannian manifold under the influence of the force field. We compute an asymptotic expansion of mean sojourn time for Brownian particles. As an auxiliary result, we obtain the singular structure for the restricted Neumann Green's function which may be of independent interest.

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Medet Nursultanov, William Trad, Leo Tzou. 2021-07-03. Narrow escape problem in the presence of the force field. https://doi.org/10.1002/mma.8354

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