Mean first-passage times of non-Markovian random walkers in confinement

T. Guérin, N. Levernier, O. Bénichou () and R. Voituriez ()
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T. Guérin: Laboratoire Ondes et Matière d’Aquitaine, University of Bordeaux, Unité Mixte de Recherche 5798, CNRS
N. Levernier: Laboratoire de Physique Théorique de la Matière Condensée, CNRS/Université Pierre et Marie Curie
O. Bénichou: Laboratoire de Physique Théorique de la Matière Condensée, CNRS/Université Pierre et Marie Curie
R. Voituriez: Laboratoire de Physique Théorique de la Matière Condensée, CNRS/Université Pierre et Marie Curie

Nature, 2016, vol. 534, issue 7607, 356-359

Abstract: An analytical method of determining the mean first-passage time (the time taken by a random walker in confinement to reach a target point) is presented for a Gaussian non-Markovian random walker, thus revealing the importance of memory effects in first-passage statistics.

Date: 2016
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DOI: 10.1038/nature18272

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