Squeezed in three dimensions, moving in two: Hydrodynamic theory of 3D incompressible easy-plane polar active fluids

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 non-zero 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.

References in corpus (5)

• Novel type of phase transition in a system of self-driven particles
• Self-motile colloidal particles: from directed propulsion to random walk
• Meso-scale turbulence in living fluids
• Spontaneously ordered motion of self-propelled particles
• Critical Phenomenon of the Order-Disorder Transition in Incompressible Flocks

Cited by in corpus (4)

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• Novel critical phenomena in compressible polar active fluids: Dynamical and Functional Renormalization Group Studies
• Scaling behaviour of non-equilibrium planar $N$-atic spin systems under weak fluctuations