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Journal ArticleDOI

The interaction of resonant magnetic perturbations with rotating plasmas

Richard Fitzpatrick, +1 more
- 01 Mar 1991 - 
- Vol. 3, Iss: 3, pp 644-673
TLDR
In this paper, the penetration of a helical magnetic perturbation into a rotating tokamak plasma is investigated and it is shown that unless the frequency of the imposed perturbations matches closely to one of the natural mode frequencies, reconnection at the rational surface is suppressed by a large factor.
Abstract
The penetration of a helical magnetic perturbation into a rotating tokamak plasma is investigated. In the linear regime, it is found that unless the frequency of the imposed perturbation matches closely to one of the natural mode frequencies, reconnection at the rational surface is suppressed by a large factor. In order to deal with the problem in the nonlinear regime a theory of propagating, constant‐ψ magnetic islands is developed. This theory is valid provided the island width greatly exceeds any microscopic scale length (but still remains small compared with the minor radius), and the magnetic Reynolds number of the plasma is sufficiently large. An island width evolution equation is obtained which, in addition to the usual Rutherford term, contains a stabilizing term due ultimately to the inertia of the plasma flow pattern set up around the propagating island. A complete solution is presented for the case where the island and its associated flow pattern are steady. In the nonlinear regime, a fairly sh...

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Citations
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Journal ArticleDOI

Chapter 3: MHD stability, operational limits and disruptions

TL;DR: A review of recent advances in the area of MHD stability and disruptions, since the publication of the 1999 ITER Physics Basis document (1999 Nucl. Fusion 39 2137-2664), is reviewed in this paper.
Journal ArticleDOI

Helical temperature perturbations associated with tearing modes in tokamak plasmas

TL;DR: In this article, an investigation into the electron temperature perturbations associated with tearing modes in tokamak plasmas was made, and it was found that there is a critical magnetic island width below which the conventional picture where the temperature is flattened inside the separatrix is invalid.
Journal ArticleDOI

Interaction of tearing modes with external structures in cylindrical geometry (plasma)

Richard Fitzpatrick
- 01 Jul 1993 - 
TL;DR: In this paper, a basic theoretical framework was developed for the investigation of tearing mode interactions in cylindrical geometry and a set of equations describing the coupled evolution of the amplitude and phase of each mode in the plasma was obtained by combining electromagnetic and fluid flow information.
Journal ArticleDOI

Physics of magnetically confined plasmas

TL;DR: The physics of magnetically confined plasmas has had much of its development as part of the program to develop fusion energy and is an important element in the study of space and astrophysical Plasmas as mentioned in this paper.
References
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Book

Reviews of Plasma Physics

TL;DR: In this article, Rozhansky et al. studied the relationship between transverse conductivity and the generation of self-consistent electric fields in strongly ionized magnetized plasma.
Journal Article

Plasma Physics and Controlled Nuclear Fusion Research

TL;DR: In this paper, the first experiments in JET have been described, which show that this large tokamak behaves in a similar manner to smaller tokak, but with correspondingly improved plasma parameters.
Journal ArticleDOI

Finite‐Resistivity Instabilities of a Sheet Pinch

TL;DR: In this paper, the stability of a plane current layer is analyzed in the hydromagnetic approximation, allowing for finite isotropic resistivity, and the effect of a small layer curvature is simulated by a gravitational field.
Journal ArticleDOI

Nonlinear growth of the tearing mode

P. H. Rutherford
- 01 Nov 1973 - 
TL;DR: In this paper, the resistive tearing mode of a tokamak with a shrinking current channel was analyzed in the nonlinear regime, and the analysis excluded the very long wavelength mode, for which the "constant−Ψ" approximation is invalid.
Journal ArticleDOI

Nonlinear, three‐dimensional magnetohydrodynamics of noncircular tokamaks

H. R. Strauss
- 01 Jan 1976 - 
TL;DR: In this article, Rosenbluth's nonlinear, approximate tokamak equations of motion were generalized to three dimensions and conservation laws were derived and a well-known form of the energy principle was recovered from the linearized equations.
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