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.
Cite
@article{arxiv.1211.3545,
title = {Exact mean exit time for surface-mediated diffusion},
author = {J. -F. Rupprecht and O. Bénichou and D. S. Grebenkov and R. Voituriez},
journal= {arXiv preprint arXiv:1211.3545},
year = {2012}
}