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Incompressible Polar Active Fluids with Quenched Random Field Disorder in Dimensions d>2
Leiming Chen1, Chiu Fan Lee2, Ananyo Maitra3
1School of Material Science and Physics, China University of Mining and Technology, Xuzhou Jiangsu, 221116, People's Republic of China.
Abstract:
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.
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