Anomalous diffusion in run-and-tumble motion.

F. Thiel,L. Schimansky-Geier,I. Sokolov

Published 2012 in Physical review. E, Statistical, nonlinear, and soft matter physics

ABSTRACT

A random walk scheme, consisting of alternating phases of regular Brownian motion and Lévy walks, is proposed as a model for run-and-tumble bacterial motion. Within the continuous-time random walk approach we obtain the long-time and short-time behavior of the mean squared displacement of the walker as depending on the properties of the dwelling time distribution in each phase. Depending on these distributions, normal diffusion, superdiffusion, and ballistic spreading may arise.

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