Stokes paradox in electronic Fermi liquids

  title={Stokes paradox in electronic Fermi liquids},
  author={Andrew Lucas},
  journal={Physical Review B},
  • A. Lucas
  • Published 2 December 2016
  • Physics
  • Physical Review B
The Stokes paradox is the statement that in a viscous two dimensional fluid, the "linear response" problem of fluid flow around an obstacle is ill-posed. We present a simple consequence of this paradox in the hydrodynamic regime of a Fermi liquid of electrons in two-dimensional metals. Using hydrodynamics and kinetic theory, we estimate the contribution of a single cylindrical obstacle to the global electrical resistance of a material, within linear response. Momentum relaxation, present in any… 

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