Incompressible polar active fluids with quenched disorder in dimensions $d>2$

Abstract

We present a hydrodynamic theory of incompressible polar active fluids with quenched disorder. This theory shows that such fluids can overcome the disruption caused by the quenched disorder and move coherently, in the sense of having a non-zero mean velocity in the hydrodynamic limit. However, the scaling behavior of this class of active systems cannot be described by linearized hydrodynamics in spatial dimensions between 2 and 5. Nonetheless, we obtain the exact dimension-dependent scaling exponents in these dimensions.

10 pages, 1 figure

References in corpus (13)

• Novel type of phase transition in a system of self-driven particles
• Meso-scale turbulence in living fluids
• Distortion and destruction of colloidal flocks in disordered environments
• A minimal physical model captures the shapes of crawling cells
• Minimal continuum theories of structure formation in dense active fluids
• Spontaneous mirror-symmetry breaking induces inverse energy cascade in 3D active fluids
• Critical Phenomenon of the Order-Disorder Transition in Incompressible Flocks
• Anomalous diffusion and Lévy walks distinguish active from inertial turbulence
• Breakdown of Ergodicity and Self-Averaging in Polar Flocks with Quenched Disorder
• A mechanism for cell motility by active polar gels
• Disordered boundaries destroy bulk phase separation in scalar active matter
• Lagrangian Manifestation of Anomalies in Active Turbulence
• Phase ordering, topological defects, and turbulence in the 3D incompressible Toner-Tu equation

Cited by in corpus (3)

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• Field-controlled interfacial transport and pinning in an active spin system