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, $\alpha \simeq 4/3$, sets particular experimental conditions for the observation of preturbulent effects in electronic fluids.

6+3 pages, 7 figures

References in corpus (4)

• Hydrodynamics of electrons in graphene
• Observation of von Kármán Vortex Street in an Atomic Superfluid Gas
• Electron hydrodynamics dilemma: whirlpools or no whirlpools
• Hydrodynamic approach to two-dimensional electron systems

Cited by in corpus (1)

• Geometric engineering of viscous magnetotransport in a two-dimensional electron system