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.
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
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PUBLICATION RECORD
- Publication year
2012
- Venue
Physical review. E, Statistical, nonlinear, and soft matter physics
- Publication date
2012-08-16
- Fields of study
Medicine, Physics, Mathematics
- Identifiers
- External record
- Source metadata
Semantic Scholar, PubMed
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