First-passage times in complex scale-invariant media

S. Condamin, O. Bénichou (), V. Tejedor, R. Voituriez and J. Klafter
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S. Condamin: Université Pierre et Marie Curie-Paris 6, Laboratoire de Physique Théorique de la Matière Condensée, UMR CNRS 7600, case 121, 4 Place Jussieu, 75005 Paris, France
O. Bénichou: Université Pierre et Marie Curie-Paris 6, Laboratoire de Physique Théorique de la Matière Condensée, UMR CNRS 7600, case 121, 4 Place Jussieu, 75005 Paris, France
V. Tejedor: Université Pierre et Marie Curie-Paris 6, Laboratoire de Physique Théorique de la Matière Condensée, UMR CNRS 7600, case 121, 4 Place Jussieu, 75005 Paris, France
R. Voituriez: Université Pierre et Marie Curie-Paris 6, Laboratoire de Physique Théorique de la Matière Condensée, UMR CNRS 7600, case 121, 4 Place Jussieu, 75005 Paris, France
J. Klafter: School of Chemistry, Tel Aviv University

Nature, 2007, vol. 450, issue 7166, 77-80

Abstract: Mean first-passage times How long does it take a random walker to reach a given target point? This quantity, called first-passage time (FPT), is important because of its role in real situations such as transport in disordered media, neuron firing, spread of diseases and target search processes. Previous methods of determining FPT properties were effectively limited to one-dimensional geometries or to homogeneous media. Condamin et al. have developed a general theory that allows the accurate evaluation of the mean FPT in complex media. The predictions are confirmed by numerical simulations of several models of disordered media, fractals, anomalous diffusion and scale-free networks, including a yeast protein interaction network.

Date: 2007
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DOI: 10.1038/nature06201

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