Stokes flow analogous to viscous electron current in graphene
| Autor: | Mayzel, Jonathan, Steinberg, Victor, Varshney, Atul |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Nature Communications 10, 937 (2019) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1038/s41467-019-08916-5 |
| Popis: | Electron transport in two-dimensional conducting materials such as graphene, with dominant electron-electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the classical Ohm's law. The transport behavior of these materials is best described by low Reynolds number hydrodynamics, where the constitutive pressure-speed relation is Stoke's law. Here we report evidence of such vortices observed in a viscous flow of Newtonian fluid in a microfluidic device consisting of a rectangular cavity$-$analogous to the electronic system. We extend our experimental observations to elliptic cavities of different eccentricities, and validate them by numerically solving bi-harmonic equation obtained for the viscous flow with no-slip boundary conditions. We verify the existence of a predicted threshold at which vortices appear. Strikingly, we find that a two-dimensional theoretical model captures the essential features of three-dimensional Stokes flow in experiments. Comment: 6 pages, 6 figures |
| Databáze: | arXiv |
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