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:https://doi.org/10.1063/1.5043203
Fitzpatrick, Richard. Fri .
"Nonlinear neoclassical two-fluid theory of response of tokamak plasma to resonant error-field". United States. doi:https://doi.org/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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 2 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Resonant magnetic perturbation experiments on MAST using external and internal coils for ELM control
journal, February 2010
- Kirk, A.; Nardon, E.; Akers, R.
- Nuclear Fusion, Vol. 50, Issue 3
Suppression of Edge Localized Modes in High-Confinement KSTAR Plasmas by Nonaxisymmetric Magnetic Perturbations
journal, July 2012
- Jeon, Y. M.; Park, J. -K.; Yoon, S. W.
- Physical Review Letters, Vol. 109, Issue 3
Nonlinear error-field penetration in low density ohmically heated tokamak plasmas
journal, August 2012
- Fitzpatrick, R.
- Plasma Physics and Controlled Fusion, Vol. 54, Issue 9
Mitigation of type-I ELMs with n = 2 fields on JET with ITER-like wall
journal, June 2013
- Liang, Y.; Lomas, P.; Nunes, I.
- Nuclear Fusion, Vol. 53, Issue 7
Diagnostic application of magnetic islands rotation in JET
journal, June 2016
- Buratti, P.; Alessi, E.; Baruzzo, M.
- Nuclear Fusion, Vol. 56, Issue 7
The influence of the ion polarization current on magnetic island stability in a tokamak plasma
journal, December 2006
- Fitzpatrick, R.; Waelbroeck, F. L.; Militello, F.
- Physics of Plasmas, Vol. 13, Issue 12
A drift-magnetohydrodynamical fluid model of helical magnetic island equilibria in the pedestals of H-mode tokamak plasmas
journal, June 2010
- Fitzpatrick, R.; Waelbroeck, F. L.
- Physics of Plasmas, Vol. 17, Issue 6
Effect of Neoclassical Toroidal Viscosity on Error-Field Penetration Thresholds in Tokamak Plasmas
journal, August 2007
- Cole, A. J.; Hegna, C. C.; Callen, J. D.
- Physical Review Letters, Vol. 99, Issue 6
Locked magnetic island chains in toroidally flow damped tokamak plasmas
journal, March 2010
- Fitzpatrick, R.; Waelbroeck, F. L.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 5
A first-principles predictive model of the pedestal height and width: development, testing and ITER optimization with the EPED model
journal, August 2011
- Snyder, P. B.; Groebner, R. J.; Hughes, J. W.
- Nuclear Fusion, Vol. 51, Issue 10
Effect of flow damping on drift-tearing magnetic islands in tokamak plasmas
journal, July 2009
- Fitzpatrick, R.; Waelbroeck, F. L.
- Physics of Plasmas, Vol. 16, Issue 7
Bifurcated states of a rotating tokamak plasma in the presence of a static error-field
journal, September 1998
- Fitzpatrick, Richard
- Physics of Plasmas, Vol. 5, Issue 9
Nonlinear growth of the tearing mode
journal, January 1973
- Rutherford, P. H.
- Physics of Fluids, Vol. 16, Issue 11
Grassy-ELM regime with edge resonant magnetic perturbations in fully noninductive plasmas in the DIII-D tokamak
journal, July 2018
- Nazikian, R.; Petty, C. C.; Bortolon, A.
- Nuclear Fusion, Vol. 58, Issue 10
Linear and nonlinear response of a rotating tokamak plasma to a resonant error-field
journal, September 2014
- Fitzpatrick, Richard
- Physics of Plasmas, Vol. 21, Issue 9
Drift-tearing magnetic islands in tokamak plasmas
journal, January 2008
- Fitzpatrick, R.; Waelbroeck, F. L.
- Physics of Plasmas, Vol. 15, Issue 1
A four-field model for tokamak plasma dynamics
journal, January 1985
- Hazeltine, R. D.; Kotschenreuther, M.; Morrison, P. J.
- Physics of Fluids, Vol. 28, Issue 8
Advances in the physics understanding of ELM suppression using resonant magnetic perturbations in DIII-D
journal, January 2015
- Wade, M. R.; Nazikian, R.; deGrassie, J. S.
- Nuclear Fusion, Vol. 55, Issue 2
A neoclassical drift-magnetohydrodynamical fluid model of the interaction of a magnetic island chain with a resonant error-field in a high temperature tokamak plasma
journal, April 2018
- Fitzpatrick, Richard
- Physics of Plasmas, Vol. 25, Issue 4
Role of plasma response in displacements of the tokamak edge due to applied non-axisymmetric fields
journal, June 2013
- Ferraro, N. M.; Evans, T. E.; Lao, L. L.
- Nuclear Fusion, Vol. 53, Issue 7
Interaction of tearing modes with external structures in cylindrical geometry (plasma)
journal, July 1993
- Fitzpatrick, R.
- Nuclear Fusion, Vol. 33, Issue 7
Edge stability and transport control with resonant magnetic perturbations in collisionless tokamak plasmas
journal, May 2006
- Evans, Todd E.; Moyer, Richard A.; Burrell, Keith H.
- Nature Physics, Vol. 2, Issue 6
Propagation of magnetic islands in the Er=0 frame of co-injected neutral beam driven discharges in the DIII-D tokamak
journal, September 2003
- La Haye, R. J.; Petty, C. C.; Strait, E. J.
- Physics of Plasmas, Vol. 10, Issue 9
Two-fluid magnetic island dynamics in slab geometry. II. Islands interacting with resistive walls or resonant magnetic perturbations
journal, February 2005
- Fitzpatrick, Richard; Waelbroeck, François L.
- Physics of Plasmas, Vol. 12, Issue 2
Finite-Resistivity Instabilities of a Sheet Pinch
journal, January 1963
- Furth, Harold P.; Killeen, John; Rosenbluth, Marshall N.
- Physics of Fluids, Vol. 6, Issue 4
Two-fluid magnetic island dynamics in slab geometry: Determination of the island phase velocity
journal, August 2005
- Fitzpatrick, R.; Watson, P. G.; Waelbroeck, F. L.
- Physics of Plasmas, Vol. 12, Issue 8
Two-fluid magnetic island dynamics in slab geometry. I. Isolated islands
journal, February 2005
- Fitzpatrick, Richard; Waelbroeck, François L.
- Physics of Plasmas, Vol. 12, Issue 2
Hypersonic drift-tearing magnetic islands in tokamak plasmas
journal, December 2007
- Fitzpatrick, R.; Waelbroeck, F. L.
- Physics of Plasmas, Vol. 14, Issue 12
An improved neoclassical drift-magnetohydrodynamical fluid model of helical magnetic island equilibria in tokamak plasmas
journal, May 2016
- Fitzpatrick, Richard
- Physics of Plasmas, Vol. 23, Issue 5
Works referencing / citing this record:
Two-fluid nonlinear theory of response of tokamak plasma to resonant magnetic perturbation
journal, November 2018
- Fitzpatrick, Richard
- Physics of Plasmas, Vol. 25, Issue 11
Rotation reversal of tokamak plasma subject to tearing-mode under resonant magnetic perturbation
journal, May 2019
- Ivanov, N. V.; Kakurin, A. M.
- Physics of Plasmas, Vol. 26, Issue 5