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Squeezed in three dimensions, moving in two: Hydrodynamic theory of three-dimensional incompressible easy-plane polar active fluids

Leiming Chen (陈雷鸣), Chiu Fan Lee, and John Toner
Phys. Rev. E 98, 040602(R) – Published 24 October 2018
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Abstract

We study the hydrodynamic behavior of three-dimensional (3D) incompressible collections of self-propelled entities in contact with a momentum sink in a state with nonzero average velocity, hereafter called 3D easy-plane incompressible polar active fluids. We show that the hydrodynamic model for this system belongs to the same universality class as that of an equilibrium system, namely, a special 3D anisotropic magnet. The latter can be further mapped onto yet another equilibrium system, a DNA-lipid mixture in the sliding columnar phase. Through these connections we find a divergent renormalization of the damping coefficients in 3D easy-plane incompressible polar active fluids, and obtain their equal-time velocity correlation functions.

  • Figure
  • Received 21 May 2018
  • Revised 15 August 2018

DOI:https://doi.org/10.1103/PhysRevE.98.040602

©2018 American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft MatterCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Leiming Chen (陈雷鸣)1,*, Chiu Fan Lee2,†, and John Toner3,‡

  • 1School of Physical Science and Technology, China University of Mining and Technology, Xuzhou Jiangsu 221116, People's Republic of China
  • 2Department of Bioengineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
  • 3Department of Physics and Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403, USA

  • *leiming@cumt.edu.cn
  • c.lee@imperial.ac.uk
  • jjt@uoregon.edu

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Issue

Vol. 98, Iss. 4 — October 2018

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