TY - JOUR
T1 - Anomalous diffusion in run-and-tumble motion
AU - Thiel, Felix
AU - Schimansky-Geier, Lutz
AU - Sokolov, Igor M.
PY - 2012/8/16
Y1 - 2012/8/16
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84865323218&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.86.021117
DO - 10.1103/PhysRevE.86.021117
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AN - SCOPUS:84865323218
SN - 1539-3755
VL - 86
JO - Physical Review E
JF - Physical Review E
IS - 2
M1 - 021117
ER -