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

Authors
  • Chen, L
  • Lee, CF
  • Maitra, A
  • Toner, J
Publication Date
Oct 11, 2022
Source
Spiral - Imperial College Digital Repository
Keywords
License
Unknown

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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