Analytical model of plasma response to external magnetic perturbation in absence of no-slip condition

Huang, Wenlong; Zhu, Ping

doi:10.1063/1.5129085

Analytical model of plasma response to external magnetic perturbation in absence of no-slip condition

Journal Article · Wed Feb 19 04:00:00 EST 2020 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5129085· OSTI ID:1800634

Huang, Wenlong ^[1]; ^[2]

Anhui University of Technology, Ma'anshan (China); University of Wisconsin-Madison
Huazhong Univ. of Science and Technology, Wuhan (China); Univ. of Wisconsin, Madison, WI (United States)

Recent simulation and experimental results suggest that the magnetic island and flow on a resonant surface often do not satisfy the “no-slip” condition in the steady state. A new theoretical model on a nonlinear plasma response to external magnetic perturbation in the absence of a no-slip condition is proposed. The model is composed of the equations for the evolution of both the width and phase of the magnetic island due to forced reconnection driven by the external magnetic perturbation, and the force-balance equation for the plasma flow. When the island width is much less than the resistive layer width, the island growth is governed by the linear Hahm–Kulsrud–Taylor solution in the presence of time-dependent plasma flow. In the other regime when the island width is much larger than the resistive layer width, the evolution of both the island width and phase can be described using the Rutherford theory. The island solution is used to construct the quasilinear electromagnetic force, which, together with the viscous one, contributes to the nonlinear variation in plasma flow. The no-slip condition assumed in the conventional error field theory is not imposed here, where the island oscillation frequency depends on but does not necessarily equal to the plasma flow frequency at the rational surface.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-86ER53218; SC0018001

OSTI ID:: 1800634

Alternate ID(s):: OSTI ID: 1600843

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 2 Vol. 27; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

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