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Updated: Mar 6, 2026

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Ultrasound Velocity Measurement in a Liquid Metal Electrode
Published on: August 5, 2015
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Higher-than-ballistic conduction of viscous electron flows
Haoyu Guo1, Ekin Ilseven1, Gregory Falkovich2,3
1Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139.
Summary
Strongly interacting electrons exhibit viscous fluid-like motion, facilitating transport and enabling conductance beyond the Landauer ballistic limit in viscous electronics. This superballistic transport is a key feature of electron hydrodynamics.
Area of Science:
- Condensed Matter Physics
- Quantum Transport
Background:
- Electrons in certain materials can exhibit collective, fluid-like behavior.
- Understanding electron transport is crucial for developing advanced electronic devices.
Purpose of the Study:
- To investigate how electron-electron interactions influence transport properties in viscous electronic systems.
- To explore the crossover from ballistic to viscous transport regimes.
Main Methods:
- Development of a theoretical framework using quasi-hydrodynamic variables.
- Analysis of electron flow through a viscous point contact.
Main Results:
- Demonstration that viscous electron flow enhances conductance beyond the Landauer ballistic limit.
- Observation of an additive relationship for conductance, with viscous contributions dominating in the hydrodynamic limit.
- Identification of superballistic, low-dissipation transport as a characteristic of viscous electronics.
Conclusions:
- Electron-electron interactions play a significant role in facilitating transport in viscous systems.
- Viscous electronics offer a pathway to achieve superballistic transport, exceeding conventional limits.
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