Numerical evidence of electron hydrodynamic whirlpools in graphene samples

TL;DR

This paper introduces an advanced numerical method to study electron flow in graphene, demonstrating the formation of hydrodynamic whirlpools consistent with recent experiments and analytical models.

Contribution

The paper extends relativistic Lattice Boltzmann methods with Gaussian quadratures for (2+1)D fluid simulations, applied to electron hydrodynamics in graphene.

Findings

Electron flow exhibits whirlpools in graphene samples.

Numerical results agree with experimental observations.

Method validates analytical predictions of hydrodynamic behavior.

Abstract

We present an extension of recent relativistic Lattice Boltzmann methods based on Gaussian quadratures for the study of fluids in (2+1) dimensions. The new method is applied to the analysis of electron flow in graphene samples subject to electrostatic drive; we show that the flow displays hydro-electronic whirlpools in accordance with recent analytical calculations as well as experimental results.