2023/03/16 by V. A. Goy, Uri Vool, Goy, Vladimir A. +3
Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Materials Science (cond-mat.mtrl-sci) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum, superfluid, helium dynamics #Solar and Space Plasma Dynamics
paper · pdf · doi:10.48550/arxiv.2303.09286
openalex publication_date 2023/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.