article · 31/01/2014
Splitting probabilities and interfacial territory covered by two-dimensional and three-dimensional surface-mediated diffusion
Résumé
We consider themean territory covered by a particle that performs surface-mediated diffusion inside a spherical confining domain (in two and three dimensions) before exit through an opening on the surface. This quantity can be expressed in terms of the splitting probability between two targets on the surface. We derive a general formula that relates this splitting probability to the mean first passage time to a single target that has been recently calculated for such a surface-mediated diffusion process. This formula is exact for pointlike targets and is shown to be accurate for extended targets. The mean covered territory is then found and analyzed for an arbitrary extension of the exit region in both two-and three-dimensional spherical domains.
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Calandre, T., Benichou, O., Grebenkov, D.-S., & Voituriez, R. (2014). Splitting probabilities and interfacial territory covered by two-dimensional and three-dimensional surface-mediated diffusion. PHYSICAL REVIEW E, 89(1). https://doi.org/10.1103/PhysRevE.89.012149@article{Calandre2014_224,
author = {Calandre, T. and Benichou, O. and Grebenkov, D. S. and Voituriez, R.},
year = {2014},
month = {1},
title = {Splitting probabilities and interfacial territory covered by two-dimensional and three-dimensional surface-mediated diffusion},
journal = {PHYSICAL REVIEW E},
volume = {89},
number = {1},
abstract = {We consider themean territory covered by a particle that performs surface-mediated diffusion inside a spherical confining domain (in two and three dimensions) before exit through an opening on the surface. This quantity can be expressed in terms of the splitting probability between two targets on the surface. We derive a general formula that relates this splitting probability to the mean first passage time to a single target that has been recently calculated for such a surface-mediated diffusion process. This formula is exact for pointlike targets and is shown to be accurate for extended targets. The mean covered territory is then found and analyzed for an arbitrary extension of the exit region in both two-and three-dimensional spherical domains.},
url = {http://www.dx.doi.org/10.1103/PhysRevE.89.012149},
doi = {10.1103/PhysRevE.89.012149},
issn = {1539-3755},
}TY - JOUR
AU - Calandre, T.
AU - Benichou, O.
AU - Grebenkov, D. S.
AU - Voituriez, R.
PY - 2014
DA - 2014/01/31
TI - Splitting probabilities and interfacial territory covered by two-dimensional and three-dimensional surface-mediated diffusion
JO - PHYSICAL REVIEW E
VL - 89
IS - 1
SN - 1539-3755
AB - We consider themean territory covered by a particle that performs surface-mediated diffusion inside a spherical confining domain (in two and three dimensions) before exit through an opening on the surface. This quantity can be expressed in terms of the splitting probability between two targets on the surface. We derive a general formula that relates this splitting probability to the mean first passage time to a single target that has been recently calculated for such a surface-mediated diffusion process. This formula is exact for pointlike targets and is shown to be accurate for extended targets. The mean covered territory is then found and analyzed for an arbitrary extension of the exit region in both two-and three-dimensional spherical domains.
DO - 10.1103/PhysRevE.89.012149
UR - http://www.dx.doi.org/10.1103/PhysRevE.89.012149
ER -