Incompressible Polar Active Fluids with Quenched Random Field Disorder in Dimensions d > 2

We present a hydrodynamic theory of incompressible polar active fluids with quenched random field 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 nonzero 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.

Automated summary

We present a hydrodynamic theory of incompressible polar active fluids with quenched random field disorder, showing that despite the disruption caused by the disorder, these fluids can move coherently with a non-zero mean velocity in the hydrodynamic limit. However, linearized hydrodynamics cannot describe the scaling behavior of this class of active systems in spatial dimensions between 2 and 5. Nevertheless, we obtained exact dimension-dependent scaling exponents in these dimensions.