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Microscopic theory for the diffusion of an active particle in a crowded environment
Pierre Rizkallah, Alessandro Sarracino, Olivier Bénichou +1
We calculate the diffusion coefficient of an active tracer in a schematic crowded environment, represented as a lattice gas of passive particles with hardcore interactions. Startin…
Statistics of the maximum and the convex hull of a Brownian motion in confined geometries
Benjamin De Bruyne, Olivier Bénichou, Satya N. Majumdar +1
We consider a Brownian particle with diffusion coefficient in a -dimensional ball of radius with reflecting boundaries. We study the maximum of the trajectory o…
Universal kinetics of imperfect reactions in confinement
Thomas Guérin, Maxim Dolgushev, Olivier Bénichou +1
Chemical reactions generically require that particles come into contact. In practice, reaction is often imperfect and can necessitate multiple random encounters between reactants.…
Exact closure and solution for spatial correlations in single-file diffusion
Aurélien Grabsch, Alexis Poncet, Pierre Rizkallah +2
Single-file transport, where particles diffuse in narrow channels while not overtaking each other, is a fundamental model for the tracer subdiffusion observed in confined systems,…
Joint statistics of space and time exploration of random walks
J. Klinger, A. Barbier-Chebbah, R. Voituriez +1
The statistics of first-passage times of random walks to target sites has proved to play a key role in determining the kinetics of space exploration in various contexts. In paralle…
Self-interacting random walks : aging, exploration and first-passage times
Alex Barbier--Chebbah, Olivier Benichou, Raphael Voituriez
Self-interacting random walks are endowed with long range memory effects that emerge from the interaction of the random walker at time with the territory that it has visited at…