caa a22 4500 445392002 CHVBK 20180317143050.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10955-011-0138-6 doi (NATIONALLICENCE)springer-10.1007/s10955-011-0138-6 Mean First-Passage Time of Surface-Mediated Diffusion in Spherical Domains [Elektronische Daten] [O. Bénichou, D. Grebenkov, P. Levitz, C. Loverdo, R. Voituriez] 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. 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. Springer Science+Business Media, LLC, 2011 Random walks nationallicence First-passage time nationallicence Intermittent search strategies nationallicence Bénichou O. Laboratoire de Physique Théorique de la Matière Condensée (UMR 7600), case courrier 121, Université Paris 6, 4 Place Jussieu, 75255, Paris Cedex, France aut Grebenkov D. Laboratoire de Physique de la Matière Condensée (UMR7643), CNRS - Ecole Polytechnique, 91128, Palaiseau Cedex, France aut Levitz P. Laboratoire de Physique de la Matière Condensée (UMR7643), CNRS - Ecole Polytechnique, 91128, Palaiseau Cedex, France aut Loverdo C. Laboratoire de Physique Théorique de la Matière Condensée (UMR 7600), case courrier 121, Université Paris 6, 4 Place Jussieu, 75255, Paris Cedex, France aut Voituriez R. Laboratoire de Physique Théorique de la Matière Condensée (UMR 7600), case courrier 121, Université Paris 6, 4 Place Jussieu, 75255, Paris Cedex, France aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/4(2011-02-01), 657-685 0022-4715 142:4<657 2011 142 10955 https://doi.org/10.1007/s10955-011-0138-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0138-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bénichou O. Laboratoire de Physique Théorique de la Matière Condensée (UMR 7600), case courrier 121, Université Paris 6, 4 Place Jussieu, 75255, Paris Cedex, France aut NATIONALLICENCE 700 1- Grebenkov D. Laboratoire de Physique de la Matière Condensée (UMR7643), CNRS - Ecole Polytechnique, 91128, Palaiseau Cedex, France aut NATIONALLICENCE 700 1- Levitz P. Laboratoire de Physique de la Matière Condensée (UMR7643), CNRS - Ecole Polytechnique, 91128, Palaiseau Cedex, France aut NATIONALLICENCE 700 1- Loverdo C. Laboratoire de Physique Théorique de la Matière Condensée (UMR 7600), case courrier 121, Université Paris 6, 4 Place Jussieu, 75255, Paris Cedex, France aut NATIONALLICENCE 700 1- Voituriez R. Laboratoire de Physique Théorique de la Matière Condensée (UMR 7600), case courrier 121, Université Paris 6, 4 Place Jussieu, 75255, Paris Cedex, France aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/4(2011-02-01), 657-685 0022-4715 142:4<657 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer