Electron parallel closures for arbitrary collisionality

Electron parallel closures for heat flow, viscosity, and friction force are expressed as kernel-weighted integrals of thermodynamic drives, the temperature gradient, relative electron-ion flow velocity, and flow-velocity gradient. Simple, fitted kernel functions are obtained for arbitrary collisiona...

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Bibliographic Details
Published in:arXiv.org 2019-06
Main Authors: Jeong-Young, Ji, Held, Eric D
Format: Article
Language:English
Subjects:
Astronomical models
Asymptotic properties
Closures
Electrons
Flow velocity
Heat transmission
Kernel functions
Plasmas
Software
Temperature gradients
Velocity gradient
Online Access:Get full text
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Summary:Electron parallel closures for heat flow, viscosity, and friction force are expressed as kernel-weighted integrals of thermodynamic drives, the temperature gradient, relative electron-ion flow velocity, and flow-velocity gradient. Simple, fitted kernel functions are obtained for arbitrary collisionality from the 6400 moment solution and the asymptotic behavior in the collisionless limit. The fitted kernels circumvent having to solve higher order moment equations in order to close the electron fluid equations. For this reason, the electron parallel closures provide a useful and general tool for theoretical and computational models of astrophysical and laboratory plasmas.
ISSN:2331-8422
DOI:10.48550/arxiv.1906.09201