Hydrodynamics of self-propelled hard rods

Details Hydrodynamics of self-propelled hard rods Hydrodynamics of self-propelled hard rods

2007-08-17

arxiv.org/abs/0708.2401v1

Phys. Rev. E Vol. 77, 031311 (2008)

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 3 figures. Submitted to PRE

Scientific paper

10.1103/PhysRevE.77.011920

Motivated by recent simulations and by experiments on aggregation of gliding bacteria, we study a model of the collective dynamics of self-propelled hard rods on a substrate in two dimensions. The rods have finite size, interact via excluded volume and their dynamics is overdamped by the interaction with the substrate. Starting from a microscopic model with non-thermal noise sources, a continuum description of the system is derived. The hydrodynamic equations are then used to characterize the possible steady states of the systems and their stability as a function of the particles packing fraction and the speed of self propulsion.

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