Nonlinear neoclassical two-fluid theory of response of tokamak plasma to resonant error-field
Abstract
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)].
- Publication Date:
- Research Org.:
- Univ. of Texas, Austin, TX (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1524537
- Alternate Identifier(s):
- OSTI ID: 1464988
- Grant/Contract Number:
- FG02-04ER54742; FG02-04ER-54742
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 25; Journal Issue: 8; 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
Fitzpatrick, Richard. Nonlinear neoclassical two-fluid theory of response of tokamak plasma to resonant error-field. United States: N. p., 2018.
Web. doi:10.1063/1.5043203.
Fitzpatrick, Richard. Nonlinear neoclassical two-fluid theory of response of tokamak plasma to resonant error-field. United States. doi:10.1063/1.5043203.
Fitzpatrick, Richard. Fri .
"Nonlinear neoclassical two-fluid theory of response of tokamak plasma to resonant error-field". United States. doi:10.1063/1.5043203. https://www.osti.gov/servlets/purl/1524537.
@article{osti_1524537,
title = {Nonlinear neoclassical two-fluid theory of response of tokamak plasma to resonant error-field},
author = {Fitzpatrick, Richard},
abstractNote = {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)].},
doi = {10.1063/1.5043203},
journal = {Physics of Plasmas},
number = 8,
volume = 25,
place = {United States},
year = {2018},
month = {8}
}
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