Grégoire G, Chaté H, Tu Y
CEA, Service de Physique de l'Etat Condensé, Centre d'Etudes de Saclay, 91191, Gif-sur-Yvette, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jul;64(1 Pt 1):011902. doi: 10.1103/PhysRevE.64.011902. Epub 2001 Jun 12.
A simple model for the motion of passive particles in a bath of active, self-propelled ones is introduced. It is argued that this approach provides the correct framework within which to cast the recent experimental results obtained by Wu and Libchaber [Phys Rev. Lett. 84, 3017 (2000)] for the diffusive properties of polystyrene beads displaced by bacteria suspended in a two-dimensional fluid film. Our results suggest that superdiffusive behavior should indeed be generically observed in the transition region marking the onset of collective motion.