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Showing 1–15 of 15 results
Advanced filters: Author: R. Voituriez 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

  • Quantifying polymer reaction kinetics requires the non-Markovian dynamics of monomer motion to be taken into account. This difficulty is overcome by explicitly determining the typical reactive conformations of the polymer, which are found to be more extended than equilibrium conformations, leading to reaction times significantly shorter than predicted by existing Markovian theories.

    • T. Guérin
    • O. Bénichou
    • R. Voituriez
    Research
    Nature Chemistry
    Volume: 4, P: 568-573

  • 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

  • Asymmetric spindle positioning in female mouse meiosis depends on the assembly of actin networks. Here, Chaigne et al. show by theoretical modelling and artificial manipulation of the oocyte cortex that a narrow stiffness regime is required to correctly position the spindle during meiosis I in the mouse oocyte.

    • A. Chaigne
    • C. Campillo
    • M. E. Terret
    Research
    Nature Communications
    Volume: 6, P: 1-10

  • The survival probability of a random walker is the probability that a particular target has not been reached by time t. Here the authors produce a formula for the prefactor involved in the expression of the survival probability which is shown to hold for both Markovian and non-Markovian processes.

    • N. Levernier
    • M. Dolgushev
    • T. Guérin
    ResearchOpen Access
    Nature Communications
    Volume: 10, P: 1-7

  • 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.

    • T. Guérin
    • N. Levernier
    • R. Voituriez
    Research
    Nature
    Volume: 534, P: 356-359

  • Kinetics of rare events in chemical systems can be described by Arrhenius law, however this is less elaborated in systems displaying complex dynamics leading to long-lived memory effects. The authors propose an analytical framework that identifies the effects of long-lived memory on rare event kinetics in chemical systems

    • A. Barbier-Chebbah
    • O. Bénichou
    • T. Guérin
    ResearchOpen Access
    Nature Communications
    Volume: 15, P: 1-7

  • The persistence of random walker can quantify the kinetics of transport limited reactions and predict the time to reach a target, but is challenging for non-stationary random processes with a large number of degrees of freedom. The authors introduce a method to determine the persistence exponent of random processes with general non-stationary dynamics.

    • N. Levernier
    • T. V. Mendes
    • T. Guérin
    ResearchOpen Access
    Nature Communications
    Volume: 13, P: 1-7