Electron parallel transport for arbitrary collisionality

Ji, Jeong-Young; Yun, Gunsu S.; Na, Yong-Su; Held, Eric D.

doi:10.1063/1.5004531

Title: Electron parallel transport for arbitrary collisionality

Journal Article · Tue Nov 28 00:00:00 EST 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5004531· OSTI ID:1524578

^[1];

^[2]; Na, Yong-Su ^[3]; Held, Eric D. ^[1]

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

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.

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Research Organization:: Utah State Univ., Logan, UT (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FC02-08ER54973; SC0014033, SC0016256, DE-FC02-08ER54973; FG02-04ER54746

OSTI ID:: 1524578

Alternate ID(s):: OSTI ID: 1410466

Journal Information:: Physics of Plasmas, Vol. 24, Issue 11; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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