Nonlinear neoclassical two-fluid theory of response of tokamak plasma to resonant error-field

Fitzpatrick, Richard

doi:10.1063/1.5043203

Title: Nonlinear neoclassical two-fluid theory of response of tokamak plasma to resonant error-field

Journal Article · Fri Aug 17 00:00:00 EDT 2018 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5043203· OSTI ID:1524537

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Univ. of Texas, Austin, TX (United States). Inst. for Fusion Studies, Dept. of Physics

A nonlinear, neoclassical, two-fluid theory of the interaction of a single-helicity magnetic island chain with a resonant error-field in a quasi-cylindrical, low-β, tokamak plasma is presented. In particular, the analysis of Fitzpatrick [Phys. Plasmas 25, 042503 (2018)] is generalized to take explicit time dependence into account. Aside from the ability to more accurately treat time-varying problems, the main physical effect that is introduced into the theory by the incorporation of explicit time dependence is ion inertia. The formalism developed in the paper is used to analyze two time-varying problems. First, the interaction of a pre-existing magnetic island chain with a resonant error-field. Second, an error-field-maintained magnetic island chain. The latter problem is of direct relevance to experiments in which deliberately applied, multi-harmonic, resonant magnetic perturbations are used to suppress edge localized modes (ELMs) in tokamak plasmas. Indeed, the predictions of the theory are strikingly similar to data recently obtained from ELM suppression experiments in the DIII-D tokamak [R. Nazikian et al., Nucl. Fusion 58, 106010 (2018)].

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-04ER54742; FG02-04ER-54742

OSTI ID:: 1524537

Alternate ID(s):: OSTI ID: 1464988

Journal Information:: Physics of Plasmas, Vol. 25, Issue 8; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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References (30)

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Cited By (3)

Two-fluid nonlinear theory of response of tokamak plasma to resonant magnetic perturbation Fitzpatrick, Richard Physics of Plasmas, Vol. 25, Issue 11 https://doi.org/10.1063/1.5053804	journal	November 2018
Rotation reversal of tokamak plasma subject to tearing-mode under resonant magnetic perturbation Ivanov, N. V.; Kakurin, A. M. Physics of Plasmas, Vol. 26, Issue 5 https://doi.org/10.1063/1.5095703	journal	May 2019
Two-Fluid Nonlinear Theory of Response of Tokamak Plasma to Resonant Magnetic Perturbation Fitzpatrick, Richard arXiv https://doi.org/10.48550/arxiv.1808.04482	text	January 2018

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