Effective surface motion on a reactive cylinder of particles that perform intermittent bulk diffusion

In many biological and small scale technological applications particles may transiently bind to a cylindrical surface. In between two binding events the particles diffuse in the bulk, thus producing an effective translation on the cylindrical surface. We here derive the effective motion on the surfa...

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Veröffentlicht in:The Journal of chemical physics 2011-05, Vol.134 (20), p.204116-204116-22
Hauptverfasser: Chechkin, Aleksei V., Zaid, Irwin M., Lomholt, Michael A., Sokolov, Igor M., Metzler, Ralf
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container_end_page 204116-22
container_issue 20
container_start_page 204116
container_title The Journal of chemical physics
container_volume 134
creator Chechkin, Aleksei V.
Zaid, Irwin M.
Lomholt, Michael A.
Sokolov, Igor M.
Metzler, Ralf
description In many biological and small scale technological applications particles may transiently bind to a cylindrical surface. In between two binding events the particles diffuse in the bulk, thus producing an effective translation on the cylindrical surface. We here derive the effective motion on the surface allowing for additional diffusion on the cylindrical surface itself. We find explicit solutions for the number of adsorbed particles at one given instant, the effective surface displacement, as well as the surface propagator. In particular sub- and superdiffusive regimes are found, as well as an effective stalling of diffusion visible as a plateau in the mean squared displacement. We also investigate the corresponding first passage problem.
doi_str_mv 10.1063/1.3593198
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subjects Adsorption
Diffusion
DNA - chemistry
Magnetic Resonance Spectroscopy
Particle Size
Solutions
Surface Properties
title Effective surface motion on a reactive cylinder of particles that perform intermittent bulk diffusion
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