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Mean first-passage time to a small absorbing target in an elongated planar domain.

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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]
Copyright of New Journal of Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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PubType: Academic Journal
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  Data: Mean first-passage time to a small absorbing target in an elongated planar domain.
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  Data: <searchLink fieldCode="AR" term="%22Grebenkov%2C+Denis+S%2E%22">Grebenkov, Denis S.</searchLink> (AUTHOR)<i> denis.grebenkov@polytechnique.edu</i><br /><searchLink fieldCode="AR" term="%22Skvortsov%2C+Alexei+T%2E%22">Skvortsov, Alexei T.</searchLink> (AUTHOR)
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  Data: 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]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of New Journal of Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1088/1367-2630/abc91f
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      – Code: eng
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              Text: Nov2020
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