Near-hydrodynamic electron flow according to the linearized Boltzmann equation
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1.
University of Melbourne
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2.
Australian National University
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3.
Victoria University
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4.
California Institute of Technology
Abstract
Near-hydrodynamic electron flows have been realized in a number of recent experiments, where momentum-conserving collisions dominate the flow behavior. We analyze these flows using a matched asymptotic expansion of the governing linearized Boltzmann equation to second order in the rarefaction parameter—the Knudsen number—with arbitrary diffusely scattering boundaries. We find corrections to the bulk governing equations, boundary conditions, and near-boundary dynamics unreported in the literature. The developed theory is used to solve two-dimensional Poiseuille flow in the near-hydrodynamic regime. Nonhydrodynamic corrections are found to compete with the classical Hall or odd viscosity. Our results are in excellent agreement with high-fidelity numerical solutions of the linearized Boltzmann equation.
Copyright and License
©2025 American Physical Society.
Acknowledgement
Funding by the ARTP is gratefully acknowledged. This research was supported by The University of Melbourne's Research Computing Services and the Petascale Campus Initiative. N.B.-S. and J.T.J. acknowledge support from the Australian Government Research Training Program Scholarship.
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Additional details
- University of Melbourne
- Australian Government
- Accepted
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2025-02-04
- Caltech groups
- GALCIT, Division of Engineering and Applied Science (EAS)
- Publication Status
- Published