article · 01/06/2012
Kinetics of Active Surface-Mediated Diffusion in Spherically Symmetric Domains
Résumé
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. We generalize the results of B,nichou et al. in (J. Stat. Phys. 142:657, 2011) and consider a biased diffusion in a general annulus with an arbitrary number of regularly spaced targets on a partially reflecting surface. 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.
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Rupprecht, J.-F., Benichou, O., Grebenkov, D.-S., & Voituriez, R. (2012). Kinetics of Active Surface-Mediated Diffusion in Spherically Symmetric Domains. JOURNAL OF STATISTICAL PHYSICS, 147(5). https://doi.org/10.1007/s10955-012-0496-8@article{Rupprecht2012_246,
author = {Rupprecht, J.-F. and Benichou, O. and Grebenkov, D. S. and Voituriez, R.},
year = {2012},
month = {6},
title = {Kinetics of Active Surface-Mediated Diffusion in Spherically Symmetric Domains},
journal = {JOURNAL OF STATISTICAL PHYSICS},
volume = {147},
number = {5},
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. We generalize the results of B,nichou et al. in (J. Stat. Phys. 142:657, 2011) and consider a biased diffusion in a general annulus with an arbitrary number of regularly spaced targets on a partially reflecting surface. 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.},
url = {http://www.dx.doi.org/10.1007/s10955-012-0496-8},
doi = {10.1007/s10955-012-0496-8},
issn = {0022-4715},
}TY - JOUR
AU - Rupprecht, J.-F.
AU - Benichou, O.
AU - Grebenkov, D. S.
AU - Voituriez, R.
PY - 2012
DA - 2012/06/01
TI - Kinetics of Active Surface-Mediated Diffusion in Spherically Symmetric Domains
JO - JOURNAL OF STATISTICAL PHYSICS
VL - 147
IS - 5
SN - 0022-4715
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. We generalize the results of B,nichou et al. in (J. Stat. Phys. 142:657, 2011) and consider a biased diffusion in a general annulus with an arbitrary number of regularly spaced targets on a partially reflecting surface. 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.
DO - 10.1007/s10955-012-0496-8
UR - http://www.dx.doi.org/10.1007/s10955-012-0496-8
ER -