Interaction of a magnetic island chain in a tokamak plasma with a resonant magnetic perturbation of rapidly oscillating phase
Abstract
An investigation is made here into the interaction of a magnetic island chain, embedded in a tokamak plasma, with an externally generated magnetic perturbation of the same helicity whose helical phase is rapidly oscillating. The analysis is similar in form to the classic analysis used by Kapitza [Sov. Phys. JETP 21, 588 (1951)] to examine the angular motion of a rigid pendulum whose pivot point undergoes rapid vertical oscillations. The phase oscillations are found to modify the existing terms, and also to give rise to new terms, in the equations governing the secular evolution of the island chain's radial width and helical phase. An examination of the properties of the new secular evolution equation reveals that it is possible to phase-lock an island chain to an external magnetic perturbation with an oscillating helical phase in a stabilizing phase relation provided that the amplitude, ϵ, of the phase oscillations (in radians) is such that , and the mean angular frequency of the perturbation closely matches the natural angular frequency of the island chain.
- 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), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1523375
- Alternate Identifier(s):
- OSTI ID: 1412619
- Grant/Contract Number:
- FG02-04ER54742
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 24; 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
Citation Formats
Fitzpatrick, Richard. Interaction of a magnetic island chain in a tokamak plasma with a resonant magnetic perturbation of rapidly oscillating phase. United States: N. p., 2017.
Web. doi:10.1063/1.5000253.
Fitzpatrick, Richard. Interaction of a magnetic island chain in a tokamak plasma with a resonant magnetic perturbation of rapidly oscillating phase. United States. https://doi.org/10.1063/1.5000253
Fitzpatrick, Richard. Mon .
"Interaction of a magnetic island chain in a tokamak plasma with a resonant magnetic perturbation of rapidly oscillating phase". United States. https://doi.org/10.1063/1.5000253. https://www.osti.gov/servlets/purl/1523375.
@article{osti_1523375,
title = {Interaction of a magnetic island chain in a tokamak plasma with a resonant magnetic perturbation of rapidly oscillating phase},
author = {Fitzpatrick, Richard},
abstractNote = {An investigation is made here into the interaction of a magnetic island chain, embedded in a tokamak plasma, with an externally generated magnetic perturbation of the same helicity whose helical phase is rapidly oscillating. The analysis is similar in form to the classic analysis used by Kapitza [Sov. Phys. JETP 21, 588 (1951)] to examine the angular motion of a rigid pendulum whose pivot point undergoes rapid vertical oscillations. The phase oscillations are found to modify the existing terms, and also to give rise to new terms, in the equations governing the secular evolution of the island chain's radial width and helical phase. An examination of the properties of the new secular evolution equation reveals that it is possible to phase-lock an island chain to an external magnetic perturbation with an oscillating helical phase in a stabilizing phase relation provided that the amplitude, ϵ, of the phase oscillations (in radians) is such that |J0(ϵ)|<<1, and the mean angular frequency of the perturbation closely matches the natural angular frequency of the island chain.},
doi = {10.1063/1.5000253},
journal = {Physics of Plasmas},
number = 12,
volume = 24,
place = {United States},
year = {Mon Dec 11 00:00:00 EST 2017},
month = {Mon Dec 11 00:00:00 EST 2017}
}
Web of Science
Figures / Tables:
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