Relativistic Wind Farm Effect: Possibly Turbulent Flow of a Charged, Massless Relativistic Fluid in Graphene
arXiv:2202.07839 · doi:10.1063/5.0093429
Abstract
At low Reynolds numbers, the wind flow in the wake of a single wind turbine is generally not turbulent. However, turbines in wind farms affect each other's wakes so that a turbulent flow can arise. In the present work, an analogue of this effect for the massless charge carrier flow around obstacles in graphene is outlined. We use a relativistic hydrodynamic simulation to analyze the flow in a sample containing impurities. Depending on the density of impurities in the sample, we indeed find evidence for potentially turbulent flow and discuss experimental consequences.
arXiv comment7 pages, 9 figures
References in corpus (15)
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- A self-consistent theory for graphene transport
- Quantum transport of massless Dirac fermions in graphene
- Mobility and Saturation Velocity in Graphene on SiO2
- Superballistic flow of viscous electron fluid through graphene constrictions
- Hydrodynamics of electrons in graphene
- Quantum critical scaling in graphene
- Pre-Turbulent Regimes in Graphene Flows
- A fully relativistic lattice Boltzmann algorithm
- Relativistic Lattice Boltzmann Methods: Theory and Applications
- Turbulent hydrodynamics in strongly correlated Kagome metals
- Prospects for the detection of electronic pre-turbulence in graphene
- Evidence for local spots of viscous electron flow in graphene at moderate mobility
- Two Dimensional Turbulence in a Massless Fluid with a Relativistic Lattice Boltzmann Model