Optimal search strategies of run-and-tumble walks

J.F. Rupprecht , O. Benichou , R. Voituriez

Bibtex , URL
Published 14 Jul. 2016
DOI: 10.1103/PhysRevE.94.012117
ISSN: 2470-0045


The run-and-tumble walk, consisting of randomly reoriented ballistic excursions, models phenomena ranging from gas kinetics to bacteria motility. We evaluate the mean time required for this walk to find a fixed target within a two- or three-dimensional spherical confinement. We find that the mean search time admits a minimum as a function of the mean run duration for various types of boundary conditions and run duration distributions (exponential, power-law, deterministic). Our result stands in sharp contrast to the pure ballistic motion, which is predicted to be the optimal search strategy in the case of Poisson-distributed targets.

Cette publication est associée à :

Dynamique stochastique des systèmes réactifs et vivants