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Article Dans Une Revue Physical Review E Année : 2016

Optimal search strategies of run-and-tumble walks

Résumé

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.

Dates et versions

hal-01361404 , version 1 (07-09-2016)

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Jean-François Rupprecht, Olivier Bénichou, Raphael Voituriez. Optimal search strategies of run-and-tumble walks. Physical Review E , 2016, 94 (1), pp.012117. ⟨10.1103/PhysRevE.94.012117⟩. ⟨hal-01361404⟩
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