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Showing 1–6 of 6 results
Advanced filters: Author: J Bénichou Clear advanced filters

  • The authors identify flip probability as a universal quantity in random explorations. Here, the authors show it follows a simple inverse law across Markovian, non-Markovian, and real-world systems.

    • J. Brémont
    • L. Régnier
    • O. Bénichou
    ResearchOpen Access
    Nature Communications
    Volume: 17, P: 1-9

  • The time taken for a reactant to reach a target is best represented theoretically by a distribution of times. This distribution has now been calculated analytically and shows quantitatively that in the case of uncrowded environments, a reactant's starting point — in relation to the target — does not influence the search time. It does, however, have an effect in the case of crowded systems — leading to ‘geometry-controlled kinetics’.

    • O. Bénichou
    • C. Chevalier
    • R. Voituriez
    Research
    Nature Chemistry
    Volume: 2, P: 472-477

  • How long does it take a random walker to reach a given target point? This quantity, known as a first passage time, is important because of its crucial role in various situations such as spreading of diseases or target search processes. This paper develops a general theory that allows the accurate evaluation of the mean first passage time in complex media. The predictions are confirmed by numerical simulations of several representative models of disordered media, fractals, anomalous diffusion and scale free networks.

    • S. Condamin
    • O. Bénichou
    • J. Klafter
    Research
    Nature
    Volume: 450, P: 77-80