Mean First-Passage Time of Surface-Mediated Diffusion in Spherical Domains

O. Bénichou; D. S. Grebenkov; P. E. Levitz; C. Loverdo; R. Voituriez

doi:10.1007/s10955-011-0138-6

Mean First-Passage Time of Surface-Mediated Diffusion in Spherical Domains

O. Bénichou, D. S. Grebenkov, P. E. Levitz, C. Loverdo, R. Voituriez

Research output: Contribution to journal › Article › peer-review

Abstract

We present an exact calculation of the mean first-passage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on the domain boundary and phases of bulk diffusion. The presented approach is based on an integral equation which can be solved analytically. Numerically validated approximation schemes, which provide more tractable expressions of the mean first-passage time are also proposed. In the framework of this minimal model of surface-mediated reactions, we show analytically that the mean reaction time can be minimized as a function of the desorption rate from the surface.

Original language	English
Pages (from-to)	657-685
Number of pages	29
Journal	Journal of Statistical Physics
Volume	142
Issue number	4
DOIs	https://doi.org/10.1007/s10955-011-0138-6
Publication status	Published - 1 Jan 2011

Keywords

First-passage time
Intermittent search strategies
Random walks

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title = "Mean First-Passage Time of Surface-Mediated Diffusion in Spherical Domains",

abstract = "We present an exact calculation of the mean first-passage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on the domain boundary and phases of bulk diffusion. The presented approach is based on an integral equation which can be solved analytically. Numerically validated approximation schemes, which provide more tractable expressions of the mean first-passage time are also proposed. In the framework of this minimal model of surface-mediated reactions, we show analytically that the mean reaction time can be minimized as a function of the desorption rate from the surface.",

keywords = "First-passage time, Intermittent search strategies, Random walks",

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AU - Bénichou, O.

AU - Grebenkov, D. S.

AU - Levitz, P. E.

AU - Loverdo, C.

AU - Voituriez, R.

PY - 2011/1/1

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AB - We present an exact calculation of the mean first-passage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on the domain boundary and phases of bulk diffusion. The presented approach is based on an integral equation which can be solved analytically. Numerically validated approximation schemes, which provide more tractable expressions of the mean first-passage time are also proposed. In the framework of this minimal model of surface-mediated reactions, we show analytically that the mean reaction time can be minimized as a function of the desorption rate from the surface.

KW - First-passage time

KW - Intermittent search strategies

KW - Random walks

U2 - 10.1007/s10955-011-0138-6

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 4

ER -

Mean First-Passage Time of Surface-Mediated Diffusion in Spherical Domains

Abstract

Keywords

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