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Driven active matter: Fluctuations and a hydrodynamic instability

T. R. Kirkpatrick1 and J. K. Bhattacherjee1,2

  • 1Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742, USA
  • 2Department of Theoretical Physics, Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India

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Phys. Rev. Fluids 4, 024306 – Published 26 February, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.024306

Abstract

Wet active matter in the presence of an imposed temperature gradient, or chemical potential gradient, is considered. It is shown that there is a type of convective instability that is caused by a (negative) activity parameter. Physically this corresponds to active fluids with contractual stress. In this nonequilibrium steady state the singular generic long-ranged correlations are computed and compared and contrasted with the analogous results in a passive fluid. In addition, the singular nonequilibrium Casimir pressure or force is determined. The fluid motion above the instability is determined by generalizing the Lorenz equations for the Rayleigh-Benard problem in a passive fluid to Lorenz-like equations to describe this instability.

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Phys. Rev. Fluids 4, 024306– Published 26 February, 2019
  • Received 24 January 2018
  • Revised 8 April 2018
Article part of CHORUS
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