Bibliographic Details
| Title: |
Mean first-passage time to a small absorbing target in an elongated planar domain. |
| Authors: |
Grebenkov, Denis S. (AUTHOR) denis.grebenkov@polytechnique.edu, Skvortsov, Alexei T. (AUTHOR) |
| Source: |
New Journal of Physics. Nov2020, Vol. 22 Issue 11, p1-9. 9p. |
| Subjects: |
Conformal mapping, Chemical biology, Rapid tooling |
| Abstract: |
We derive an approximate but fully explicit formula for the mean first-passage time (MFPT) to a small absorbing target of arbitrary shape in a general elongated domain in the plane. Our approximation combines conformal mapping, boundary homogenisation, and Fick–Jacobs equation to express the MFPT in terms of diffusivity and geometric parameters. A systematic comparison with a numerical solution of the original problem validates its accuracy when the starting point is not too close to the target. This is a practical tool for a rapid estimation of the MFPT for various applications in chemical physics and biology. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
