Exact mean exit time for surface-mediated diffusion

J. F. Rupprecht; O. Bénichou; D. S. Grebenkov; R. Voituriez

doi:10.1103/PhysRevE.86.041135

Exact mean exit time for surface-mediated diffusion

J. F. Rupprecht
, O. Bénichou
, D. S. Grebenkov
, R. Voituriez

Université Pierre et Marie Curie

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

33 Citations (Scopus)

Abstract

We present an exact expression for the mean exit time through the cap of a confining sphere for particles alternating phases of surface and of bulk diffusion. The present approach is based on an integral equation which can be solved analytically. In contrast to the statement of Berezhkovskii and Barzykin, we show that the mean exit time can be optimized with respect to the desorption rate, under analytically determined criteria.

Original language	English
Article number	041135
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	86
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.86.041135
Publication status	Published - 19 Oct 2012

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10.1103/PhysRevE.86.041135

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title = "Exact mean exit time for surface-mediated diffusion",

abstract = "We present an exact expression for the mean exit time through the cap of a confining sphere for particles alternating phases of surface and of bulk diffusion. The present approach is based on an integral equation which can be solved analytically. In contrast to the statement of Berezhkovskii and Barzykin, we show that the mean exit time can be optimized with respect to the desorption rate, under analytically determined criteria.",

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AU - Rupprecht, J. F.

AU - Bénichou, O.

AU - Grebenkov, D. S.

AU - Voituriez, R.

PY - 2012/10/19

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AB - We present an exact expression for the mean exit time through the cap of a confining sphere for particles alternating phases of surface and of bulk diffusion. The present approach is based on an integral equation which can be solved analytically. In contrast to the statement of Berezhkovskii and Barzykin, we show that the mean exit time can be optimized with respect to the desorption rate, under analytically determined criteria.

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DO - 10.1103/PhysRevE.86.041135

M3 - Article

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

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Exact mean exit time for surface-mediated diffusion

Abstract

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