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Updated: Jan 28, 2026
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Preparation of Graphene-Supported Microwell Liquid Cells for In Situ Transmission Electron Microscopy
Published on: July 15, 2019
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Stokes flow analogous to viscous electron current in graphene.
Jonathan Mayzel1, Victor Steinberg1,2, Atul Varshney3,4
1Department of Physics of Complex Systems, Weizmann Institute of Science, 76100, Rehovot, Israel.
Nature Communications
|February 28, 2019
Summary
Vortices observed in fluid flow mimic electron behavior in 2D materials. This study validates a 2D model for 3D fluid dynamics, revealing insights into electron-vortex analogies.
Area of Science:
- Physics
- Fluid Dynamics
- Condensed Matter Physics
Background:
- Electron transport in 2D materials like graphene shows vortex flow due to electron-electron interactions, deviating from Ohm's law.
- This behavior is analogous to low Reynolds number hydrodynamics, described by Stokes' law.
Purpose of the Study:
- To experimentally observe and validate vortex flow phenomena in a Newtonian fluid.
- To investigate the analogy between electronic systems and microfluidic systems.
- To test a 2D theoretical model against 3D experimental results.
Main Methods:
- Utilized a microfluidic device with rectangular and elliptical cavities.
- Performed experiments on viscous flow of Newtonian fluid.
- Numerically solved the bi-harmonic equation for viscous flow with no-slip boundary conditions.
Main Results:
- Observed vortex flow in a microfluidic device, analogous to electronic systems.
- Verified the existence of a threshold for vortex appearance.
- Found that a 2D theoretical model accurately captures essential features of 3D Stokes flow.
Conclusions:
- Experimental evidence supports the analogy between fluid vortices and electron vortices in 2D materials.
- The study validates the use of fluid dynamics as a model for electronic transport phenomena.
- A 2D model effectively describes 3D viscous flow, offering a simplified approach for complex systems.
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