Optimal Reaction Time for Surface-Mediated Diffusion

被引：113

作者：

Benichou, O. ^{[1
]}

Grebenkov, D. ^{[2
]}

Levitz, P. ^{[2
]}

Loverdo, C. ^{[1
]}

Voituriez, R. ^{[1
]}

机构：

[1] Univ Paris 06, Lab Phys Theor Mat Condensee, UMR 7600, F-75255 Paris, France

[2] Ecole Polytech, Phys Mat Condensee Lab, UMR 7643, CNRS, F-91128 Palaiseau, France

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 105卷 / 15期

关键词：

1ST PASSAGE TIME; NARROW ESCAPE; ASYMPTOTIC ANALYSIS; PART II; STRATEGIES; KINETICS; DOMAINS;

D O I：

10.1103/PhysRevLett.105.150606

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an exact calculation of the mean first-passage time to a small target on the surface of a 2D or 3D spherical domain, for a molecule performing surface-mediated diffusion. This minimal model of interfacial reactions, which explicitly takes into account the combination of surface and bulk diffusion, shows the importance of correlations induced by the coupling of the switching dynamics to the geometry of the confinement, ignored so far. Our results show that, in the context of interfacial systems in confinement, the reaction time can be minimized as a function of the desorption rate from the surface, which puts forward a general mechanism of enhancement and regulation of chemical and biological reactivity.

引用

页数：4

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