Helical temperature perturbations associated with radially asymmetric magnetic island chains in tokamak plasmas
Abstract
The simple analysis of Rutherford is generalized in order to incorporate radial magnetic island asymmetry into the nonlinear theory of tearing mode stability in a low-β, large aspect-ratio, quasi-cylindrical, tokamak plasma. The calculation is restricted to cases in which the radial shifts of the island X- and O-points are (almost) equal and opposite. For the sake of simplicity, the calculation concentrates on a particular (but fairly general) class of radially asymmetric island magnetic flux-surfaces that can all be mapped to the same symmetric flux-surfaces by means of a suitable coordinate transform. Finally, the combination of island asymmetry (in which the radial shifts of the X- and O-points are almost equal and opposite) and temperature-induced changes in the inductive current profile in the immediate vicinity of the island is found to have no effect on tearing mode stability.
- Authors:
-
- Univ. of Texas, Austin, TX (United States). Dept. of Physics, Inst. for Fusion Studies
- Publication Date:
- Research Org.:
- Univ. of Texas, Austin, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1535289
- Alternate Identifier(s):
- OSTI ID: 1334546
- Grant/Contract Number:
- FG02-04ER54742; FG02-04ER-54742
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 23; Journal Issue: 12; 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; physics
Citation Formats
Fitzpatrick, Richard. Helical temperature perturbations associated with radially asymmetric magnetic island chains in tokamak plasmas. United States: N. p., 2016.
Web. doi:10.1063/1.4968833.
Fitzpatrick, Richard. Helical temperature perturbations associated with radially asymmetric magnetic island chains in tokamak plasmas. United States. https://doi.org/10.1063/1.4968833
Fitzpatrick, Richard. Mon .
"Helical temperature perturbations associated with radially asymmetric magnetic island chains in tokamak plasmas". United States. https://doi.org/10.1063/1.4968833. https://www.osti.gov/servlets/purl/1535289.
@article{osti_1535289,
title = {Helical temperature perturbations associated with radially asymmetric magnetic island chains in tokamak plasmas},
author = {Fitzpatrick, Richard},
abstractNote = {The simple analysis of Rutherford is generalized in order to incorporate radial magnetic island asymmetry into the nonlinear theory of tearing mode stability in a low-β, large aspect-ratio, quasi-cylindrical, tokamak plasma. The calculation is restricted to cases in which the radial shifts of the island X- and O-points are (almost) equal and opposite. For the sake of simplicity, the calculation concentrates on a particular (but fairly general) class of radially asymmetric island magnetic flux-surfaces that can all be mapped to the same symmetric flux-surfaces by means of a suitable coordinate transform. Finally, the combination of island asymmetry (in which the radial shifts of the X- and O-points are almost equal and opposite) and temperature-induced changes in the inductive current profile in the immediate vicinity of the island is found to have no effect on tearing mode stability.},
doi = {10.1063/1.4968833},
journal = {Physics of Plasmas},
number = 12,
volume = 23,
place = {United States},
year = {Mon Dec 05 00:00:00 EST 2016},
month = {Mon Dec 05 00:00:00 EST 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 6 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:
ECCD control of dynamics of asymmetric magnetic islands in a sheared flow
journal, December 2008
- Lazzaro, E.; Nowak, S.
- Plasma Physics and Controlled Fusion, Vol. 51, Issue 3
The role of asymmetries in the growth and suppression of neoclassical tearing modes
journal, February 2011
- De Lazzari, D.; Westerhof, E.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 3
Plasma Transport in Toroidal Confinement Systems
journal, January 1972
- Rosenbluth, M. N.
- Physics of Fluids, Vol. 15, Issue 1
Origin of Tokamak Density Limit Scalings
journal, April 2012
- Gates, D. A.; Delgado-Aparicio, L.
- Physical Review Letters, Vol. 108, Issue 16
Physics of magnetically confined plasmas
journal, January 2005
- Boozer, Allen H.
- Reviews of Modern Physics, Vol. 76, Issue 4
Nonlinear Saturation of Tearing Mode Islands
journal, August 2005
- Hastie, R. J.; Militello, F.; Porcelli, F.
- Physical Review Letters, Vol. 95, Issue 6
Helical temperature perturbations associated with tearing modes in tokamak plasmas
journal, March 1995
- Fitzpatrick, Richard
- Physics of Plasmas, Vol. 2, Issue 3
Diffusion Driven Plasma Currents and Bootstrap Tokamak
journal, January 1971
- Bickerton, R. J.; Connor, J. W.; Taylor, J. B.
- Nature Physical Science, Vol. 229, Issue 4
Thermal island destabilization and the Greenwald limit
journal, February 2015
- White, R. B.; Gates, D. A.; Brennan, D. P.
- Physics of Plasmas, Vol. 22, Issue 2
Physics of radiation-driven islands near the tokamak density limit
journal, May 2013
- Gates, D. A.; Delgado-Aparicio, L.; White, R. B.
- Nuclear Fusion, Vol. 53, Issue 6
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
Nonlinear growth of the tearing mode
journal, January 1973
- Rutherford, P. H.
- Physics of Fluids, Vol. 16, Issue 11
Global energy confinement degradation due to macroscopic phenomena in tokamaks
journal, February 1990
- Chang, Z.; Callen, J. D.
- Nuclear Fusion, Vol. 30, Issue 2
Simple and rigorous solution for the nonlinear tearing mode
journal, March 2004
- Escande, D. F.; Ottaviani, M.
- Physics Letters A, Vol. 323, Issue 3-4
Analysis of the structure of neoclassical tearing modes in ASDEX Upgrade
journal, September 2001
- Meskat, J. P.; Zohm, H.; Gantenbein, G.
- Plasma Physics and Controlled Fusion, Vol. 43, Issue 10
The tokamak density limit: A thermo-resistive disruption mechanism
journal, June 2015
- Gates, D. A.; Brennan, D. P.; Delgado-Aparicio, L.
- Physics of Plasmas, Vol. 22, Issue 6
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
Island bootstrap current modification of the nonlinear dynamics of the tearing mode
journal, January 1986
- Carrera, R.; Hazeltine, R. D.; Kotschenreuther, M.
- Physics of Fluids, Vol. 29, Issue 4
Thermo-resistive disruptions and the tokamak density limit
journal, May 2016
- Gates, D. A.; Brennan, D. P.; Delgado-Aparicio, L.
- Physics of Plasmas, Vol. 23, Issue 5
Perturbation analysis of a simple model of magnetic island structures
journal, January 1981
- Thyagaraja, A.
- Physics of Fluids, Vol. 24, Issue 9
Works referencing / citing this record:
Role of thermal conduction on resistive tearing mode in Tokamaks
journal, June 2019
- Xu, Hai-Wen; Song, Yuan-Hong; Ma, Zhi-Wei
- Plasma Physics and Controlled Fusion, Vol. 61, Issue 8
Influence of m / n = 2/1 magnetic islands on perpendicular flows and turbulence in HL-2A Ohmic plasmas
journal, December 2017
- Jiang, M.; Zhong, W. L.; Xu, Y.
- Nuclear Fusion, Vol. 58, Issue 2