article · 19/10/2012
Exact mean exit time for surface-mediated diffusion
Résumé
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 {[}J. Chem. Phys. 136, 54115 (2012)], we show that the mean exit time can be optimized with respect to the desorption rate, under analytically determined criteria.
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Rupprecht, J.-F., Benichou, O., Grebenkov, D.-S., & Voituriez, R. (2012). Exact mean exit time for surface-mediated diffusion. PHYSICAL REVIEW E, 86(4, 1). https://doi.org/10.1103/PhysRevE.86.041135@article{Rupprecht2012_240,
author = {Rupprecht, J.-F. and Benichou, O. and Grebenkov, D. S. and Voituriez, R.},
year = {2012},
month = {10},
title = {Exact mean exit time for surface-mediated diffusion},
journal = {PHYSICAL REVIEW E},
volume = {86},
number = {4, 1},
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 \{[\}J. Chem. Phys. 136, 54115 (2012)], we show that the mean exit time can be optimized with respect to the desorption rate, under analytically determined criteria.},
url = {http://www.dx.doi.org/10.1103/PhysRevE.86.041135},
doi = {10.1103/PhysRevE.86.041135},
issn = {1539-3755},
}TY - JOUR
AU - Rupprecht, J.-F.
AU - Benichou, O.
AU - Grebenkov, D. S.
AU - Voituriez, R.
PY - 2012
DA - 2012/10/19
TI - Exact mean exit time for surface-mediated diffusion
JO - PHYSICAL REVIEW E
VL - 86
IS - 4, 1
SN - 1539-3755
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 {[}J. Chem. Phys. 136, 54115 (2012)], we show that the mean exit time can be optimized with respect to the desorption rate, under analytically determined criteria.
DO - 10.1103/PhysRevE.86.041135
UR - http://www.dx.doi.org/10.1103/PhysRevE.86.041135
ER -