• Corpus ID: 252531277

The narrow capture problem on general Riemannian surfaces

  title={The narrow capture problem on general Riemannian surfaces},
  author={Medet Nursultanov and William Trad and J. C. Tzou and Leo Tzou},
. In this article, we study the narrow capture problem on a Riemannian 2-manifold. This involves the derivation of the mean first passage (sojourn) time of a surface-bound ion modelled as a Brownian particle. We use a layer potential argument in conjunction with microlocal analysis in order to derive the leading order singularity as well as the O (1) term of the mean first passage time and the associated spatial average. 
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Asymptotic analysis of extended two-dimensional narrow capture problems

  • P. Bressloff
  • Mathematics, Computer Science
    Proceedings of the Royal Society A
  • 2021
This paper uses an asymptotic analysis of the Laplace transformed probability flux into each target to derive new results for two major extensions of the classical narrow capture problem: optimal search strategies under stochastic resetting and the accumulation of target resources under multiple rounds of search-and-capture.