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Preprints, Working Papers, ... Year : 2023

Preturbulence in momentum-relaxing Navier-Stokes hydrodynamics

Abstract

In a hydrodynamic regime of electronic fluids, the electron scattering on impurities and phonons inhibits the development of oscillating preturbulent phenomena (such as the Kármán vortex shedding) and enforces a laminar flow. Working in a local generalization of the Navier-Stokes hydrodynamics of incompressible two-dimensional fluids, we show that the critical relaxation time separating these two regimes is described by a surprisingly simple fractional power function of the Reynolds number. The critical exponent, α 4/3, sets particular experimental conditions for the observation of preturbulent effects in electronic fluids.
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Dates and versions

hal-04033965 , version 1 (17-03-2023)

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Vladimir A. Goy, Uri Vool, Maxim N. Chernodub. Preturbulence in momentum-relaxing Navier-Stokes hydrodynamics. 2023. ⟨hal-04033965⟩
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