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Updated: Jun 25, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
First-passage-time distribution for diffusion through a planar wedge
Diandrew Lexter L Dy1, J P Esguerra
1National Institute of Physics, University of the Philippines, Diliman, Quezon City, Philippines. lexter.dy@gmail.com
Abstract:
We obtain compact, exact, analytical expressions for the first-passage-time distribution for a particle diffusing on a planar wedge for special values of the wedge angle. Specifically, we calculate the first-passage-time distribution for the diffusing particle through a planar wedge of angle pi/n, where n is an integer. For the cases n=2 and n odd, we provide an exact closed-form expression to the first-passage-time distribution while for the remaining cases, we provide it in integral form and evaluate numerically using quadratures. We then show that our results are in good agreement with Markovian simulations in the continuum limit.
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