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

We construct the hydrodynamic equations for suspensions of self-propelled particles (SPPs) with spontaneous orientational order, and make a number of striking, testable predictions: (i) Nematic SPP suspensions are always absolutely unstable at long wavelengths. (ii) SPP suspensions support novel propagating modes at long wavelengths, coupling orientation, flow, and concentration. (iii) In a wave number 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.

• Publication year

  2001

• Venue

  Physical Review Letters

• Publication date

  2001-08-20

• Fields of study

  Biology, Materials Science, Medicine, Physics

• Identifiers
  DOI 10.1103/PhysRevLett.89.058101arXiv cond-mat/0108301PMID 12144468
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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