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Title: Electron parallel transport for arbitrary collisionality

Abstract

Integral (nonlocal) closures [J.-Y. Ji and E. D. Held, Phys. Plasmas 21, 122116 (2014)] are combined with the momentum balance equation to derive electron parallel transport relations. For a single harmonic fluctuation, the relations take the same form as the classical Spitzer theory (with possible additional terms): The electric current and heat flux densities are connected to the modified electric field and temperature gradient by transport coefficients. In contrast to the classical theory, the dimensionless coefficients depend on the collisionality quantified by a Knudsen number, the ratio of the collision length to the angular wavelength. The key difference comes from the proper treatment of the viscosity and friction terms in the momentum balance equation, accurately reflecting the free streaming and collision terms in the kinetic equation. For an arbitrary fluctuation, the transport relations may be expressed by a Fourier series or transform. Finally, for low collisionality, the electric resistivity can be significantly larger than that of classical theory and may predict the correct timescale for fast magnetic reconnection.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3];  [1]
  1. Utah State Univ., Logan, UT (United States). Dept. of Physics
  2. Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of). Dept. of Physics
  3. Seoul National Univ. (Korea, Republic of). Dept. of Nuclear Engineering
Publication Date:
Research Org.:
Utah State Univ., Logan, UT (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1524578
Alternate Identifier(s):
OSTI ID: 1410466
Grant/Contract Number:  
FC02-08ER54973; SC0014033, SC0016256, DE-FC02-08ER54973; FG02-04ER54746
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 11; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Ji, Jeong-Young, Yun, Gunsu S., Na, Yong-Su, and Held, Eric D. Electron parallel transport for arbitrary collisionality. United States: N. p., 2017. Web. doi:10.1063/1.5004531.
Ji, Jeong-Young, Yun, Gunsu S., Na, Yong-Su, & Held, Eric D. Electron parallel transport for arbitrary collisionality. United States. doi:10.1063/1.5004531.
Ji, Jeong-Young, Yun, Gunsu S., Na, Yong-Su, and Held, Eric D. Tue . "Electron parallel transport for arbitrary collisionality". United States. doi:10.1063/1.5004531. https://www.osti.gov/servlets/purl/1524578.
@article{osti_1524578,
title = {Electron parallel transport for arbitrary collisionality},
author = {Ji, Jeong-Young and Yun, Gunsu S. and Na, Yong-Su and Held, Eric D.},
abstractNote = {Integral (nonlocal) closures [J.-Y. Ji and E. D. Held, Phys. Plasmas 21, 122116 (2014)] are combined with the momentum balance equation to derive electron parallel transport relations. For a single harmonic fluctuation, the relations take the same form as the classical Spitzer theory (with possible additional terms): The electric current and heat flux densities are connected to the modified electric field and temperature gradient by transport coefficients. In contrast to the classical theory, the dimensionless coefficients depend on the collisionality quantified by a Knudsen number, the ratio of the collision length to the angular wavelength. The key difference comes from the proper treatment of the viscosity and friction terms in the momentum balance equation, accurately reflecting the free streaming and collision terms in the kinetic equation. For an arbitrary fluctuation, the transport relations may be expressed by a Fourier series or transform. Finally, for low collisionality, the electric resistivity can be significantly larger than that of classical theory and may predict the correct timescale for fast magnetic reconnection.},
doi = {10.1063/1.5004531},
journal = {Physics of Plasmas},
number = 11,
volume = 24,
place = {United States},
year = {2017},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 2 works
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Figures / Tables:

TABLE I TABLE I: Fitted parameters for real kernels for $k$ ≥ 0. The maximum errors are assessed by the 6400 moment closures in the convergent regime. The kernels for $k$< 0 can be obtained from K̂AB(–k) = K̂AB(k) for AB= $hh, hR, RR$, and $\pi\pi$ and K̂AB(–k)= K̂AB(k) for AB= h$\pi$more » and R$\pi$.« less

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      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.