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Levitz P, Zinsmeister M, Davidson P, et al. Intermittent Brownian dynamics over a rigid strand: heavily tailed relocation statistics in a simple geometry. Phys Rev E Stat Nonlin Soft Matter Phys. 2008;78(3):030102doi: 10.1103/PhysRevE.78.030102.
Levitz, P., Zinsmeister, M., Davidson, P., Constantin, D., & Poncelet, O. (2008). Intermittent Brownian dynamics over a rigid strand: heavily tailed relocation statistics in a simple geometry. Physical review. E, Statistical, nonlinear, and soft matter physics, 78(3), 030102. https://doi.org/10.1103/PhysRevE.78.030102
Levitz, P, et al. "Intermittent Brownian dynamics over a rigid strand: heavily tailed relocation statistics in a simple geometry." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 78,3 (2008): 030102. doi: https://doi.org/10.1103/PhysRevE.78.030102
Levitz P, Zinsmeister M, Davidson P, Constantin D, Poncelet O. Intermittent Brownian dynamics over a rigid strand: heavily tailed relocation statistics in a simple geometry. Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Sep;78(3):030102. doi: 10.1103/PhysRevE.78.030102. Epub 2008 Sep 24. PMID: 18850982.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Sep;78(3):030102. doi: 10.1103/PhysRevE.78.030102. Epub 2008 Sep 24.

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

Physical review. E, Statistical, nonlinear, and soft matter physics

P Levitz, M Zinsmeister, P Davidson, D Constantin, O Poncelet

Affiliations

  1. Physique de la Matière Condensée, Ecole Polytechnique, CNRS 91128 Palaiseau, France. [email protected]

PMID: 18850982 DOI: 10.1103/PhysRevE.78.030102

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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