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Intermittent Brownian dynamics over a rigid strand: Heavily tailed relocation statistics in a simple geometry

Abstract : We analyze the intermittent Brownian dynamics (a succession of adsorption and bulk relocation steps) of a test particle over a single strand. We propose an analytic expression of the relocation time distribution at all times. We show that this distribution has a nontrivial heavily tailed statistics at long time with a diverging average relocation time. In order to experimentally probe this first passage statistics, we follow the intermittent Brownian dynamics of water molecules over long and stiff imogolite mineral strands, using a field cycling NMR dispersion technique. Our analytic derivation is found to be in good agreement with experimental data on a large domain of observation. Implications for the efficiency of a search strategy on a single filament are then discussed and the importance of the confinement and/or the finite size effect is emphasized.
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https://hal.archives-ouvertes.fr/hal-00430263
Contributor : Doru Constantin <>
Submitted on : Friday, November 6, 2009 - 1:01:28 PM
Last modification on : Tuesday, April 21, 2020 - 10:29:58 AM

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Pierre Levitz, Michel Zinsmeister, Patrick Davidson, Doru Constantin, Olivier Poncelet. Intermittent Brownian dynamics over a rigid strand: Heavily tailed relocation statistics in a simple geometry. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, American Physical Society, 2008, 78, pp.030102(R). ⟨10.1103/PhysRevE.78.030102⟩. ⟨hal-00430263⟩

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