Hydrodynamics of rotating bacterial clusters

Alexander Morozov

University of Edinburgh, School of Physics and Astronomy, Edinburgh, UK

Self-propelling active particles, like bacteria or Janus particles, demonstrate a variety of dynamical patterns ranging from swimming of individual particles to large-scale synchronised collective motion of a large number of swimmers. A new type of collective behaviour has recently been observed in dilute solutions of the bacteria E. coli in the presence of short-range depletion-induced attraction between the bacteria [1]. When the attraction is strong enough, bacteria form clusters that simultaneously rotate and translate due to the active nature of individual particles constituting the clusters. We present a theory based on hydrodynamics to predict the rotation and translation speed of the clusters as a function of the cluster's size. The translational velocity is found to be roughly independent of, while the angular velocity decreases as a function of the cluster's size.

[1] J. Schwarz-Linek et al. in preparation

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