Accelerating search kinetics by following boundaries

T. Calandre, O. Bénichou, and R. Voituriez
Phys. Rev. Lett. 112, 230601 – Published 9 June 2014
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Abstract

We derive exact expressions of the mean first-passage time to a bulk target for a random searcher that performs boundary-mediated diffusion in a circular domain. Although nonintuitive for bulk targets, it is found that boundary excursions, if fast enough, can minimize the search time. A scaling analysis generalizes these findings to domains of arbitrary shapes and underlines their robustness. Overall, these results provide a generic mechanism of optimization of search kinetics in interfacial systems, which could have important implications in chemical physics. In the context of animal behavior sciences, it shows that following the boundaries of a domain can accelerate a search process, and therefore suggests that thigmotactism could be a kinetically efficient behavior.

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  • Received 4 March 2014

DOI:https://doi.org/10.1103/PhysRevLett.112.230601

© 2014 American Physical Society

Authors & Affiliations

T. Calandre1, O. Bénichou1, and R. Voituriez1,2

  • 1Laboratoire de Physique Théorique de la Matière Condensée (UMR 7600), CNRS / UPMC, 4 Place Jussieu, 75255 Paris Cedex
  • 2Laboratoire Jean Perrin (FRE 3231) CNRS /UPMC, 4 Place Jussieu, 75255 Paris Cedex

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Issue

Vol. 112, Iss. 23 — 13 June 2014

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