Exact mean exit time for surface-mediated diffusion

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

Bibtex , URL
PHYSICAL REVIEW E, 86, 4, 1
Published 19 Oct. 2012
DOI: 10.1103/PhysRevE.86.041135
ISSN: 1539-3755

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.

Cette publication est associée à :

Dynamique stochastique des systèmes réactifs et vivants