Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles

Details Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles

2001-08-20

arxiv.org/abs/cond-mat/0108301v2

Physics

Condensed Matter

Soft Condensed Matter

submitted to Phys Rev Lett

Scientific paper

10.1103/PhysRevLett.89.058101

We construct the hydrodynamic equations for {\em suspensions} of self-propelled particles (SPPs) with spontaneous orientational order, and make a number of striking, testable predictions:(i) SPP suspensions with the symmetry of a true {\em nematic} are {\em always} absolutely unstable at long wavelengths.(ii) SPP suspensions with {\em polar}, i.e., head-tail {\em asymmetric}, order support novel propagating modes at long wavelengths, coupling orientation, flow, and concentration. (iii) In a wavenumber regime accessible only in low Reynolds number systems such as bacteria, polar-ordered suspensions are invariably convectively unstable.(iv) The variance in the number N of particles, divided by the mean , diverges as $^{2/3}$ in polar-ordered SPP suspensions.

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