Narrow escape problem in the presence of the force field
arXiv:2107.01403 · doi:10.1002/mma.8354
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.
27 pages. arXiv admin note: text overlap with arXiv:2101.07958