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:

 Utah State Univ., Logan, UT (United States). Dept. of Physics
 Pohang Univ. of Science and Technology (POSTECH) (Korea, Republic of). Dept. of Physics
 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:
 FC0208ER54973; SC0014033, SC0016256, DEFC0208ER54973; FG0204ER54746
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 24; Journal Issue: 11; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Ji, JeongYoung, Yun, Gunsu S., Na, YongSu, and Held, Eric D. Electron parallel transport for arbitrary collisionality. United States: N. p., 2017.
Web. doi:10.1063/1.5004531.
Ji, JeongYoung, Yun, Gunsu S., Na, YongSu, & Held, Eric D. Electron parallel transport for arbitrary collisionality. United States. doi:10.1063/1.5004531.
Ji, JeongYoung, Yun, Gunsu S., Na, YongSu, 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, JeongYoung and Yun, Gunsu S. and Na, YongSu 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}
}
Web of Science
Figures / Tables:
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