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High- n ideal and resistive shear Alfvén waves in tokamaks

Chio-Zong Cheng, +2 more
- 15 Apr 1985 - 
- Vol. 161, Iss: 1, pp 21-47
TLDR
In this paper, the ideal and resistive MHD equations for the shear Alfven waves are studied in a low-β toroidal model by employing the high-n ballooning formalism.
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This article is published in Annals of Physics.The article was published on 1985-04-15 and is currently open access. It has received 450 citations till now. The article focuses on the topics: Resistive touchscreen.

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Citations
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Journal ArticleDOI

High frequency mode generation by toroidal Alfvén eigenmodes

TL;DR: In this article, the nonlinear generation of high frequency modes (HFMs) by the toroidal Alfven eigenmode (TAE) observed in the HL-2A tokamak is analyzed using nonlinear gyrokinetic theory.
Journal ArticleDOI

Nonlinear evolution of alpha‐particle‐driven Alfvén turbulence from a reduced model

TL;DR: In this article, the coupled nonlinear evolution of kinetic Alfven turbulence (KAW) and anomalous alpha-particle transport is analyzed using a reduced turbulence model, where the alpha spectrum consists of two well separated peaks, one linearly unstable and one in the stable regime.
Journal ArticleDOI

Discrete Alfvén Eigenmodes in ITER Plasmas with Bootstrap Current

TL;DR: This work focuses on the relationship between αTAEs and bootstrap current with a magnetohydrodynamic (MHD) simulation code and a gyrokinetic-MHD hybrid simulation code in two typical scenarios in ITER, and compares these typical scenarios with two ordinary scenarios about physical characteristics of discrete Alfvén eigenmodes.
Journal ArticleDOI

Testing the conservative character of particle simulations: II. Spurious heating of guiding centers and full orbits subject to fluctuations expressed in terms of E and B

TL;DR: In this paper , the authors show that anomalous heating can be caused by nonnormal modes that possess strong up-down asymmetry instead of the usual in-out asymmetry of normal toroidal (eigen) modes.

Shear Alfv'en wave continuous spectrum in the presence of a magnetic island

TL;DR: In this article, the continuous spectrum of shear Alfvén waves is calculated for a finite-beta tokamak equilibrium in the presence of a finite size magnetic island.
References
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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.
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Resistive instabilities in general toroidal plasma configurations

TL;DR: In this article, the Mercier criterion for the stability of the ideal magnetohydrodynamic interchange mode is derived, the generalization of the earlier stability criterion for resistive interchange mode was obtained, and a relation between the two was noted.
Journal ArticleDOI

A theory of long‐period magnetic pulsations: 2. Impulse excitation of surface eigenmode

TL;DR: In this paper, a wave equation that shows a coupling between a surface wave and a shear Alfven wave is derived, and a theory of long-period magnetic pulsations (Pc 3 to Pc 5) is presented as an initial value problem to explain impulse-excited pulsations.
Journal ArticleDOI

Decay of MHD waves by phase mixing

TL;DR: In this article, the authors examined the dispersion relation for plasmas with non-uniform profiles and compared the results with those of a sharp boundary model, showing that the frequency of the waves is a complex quantity having a real and imaginary part.
Journal ArticleDOI

Kinetic-ballooning-mode theory in general geometry

TL;DR: In this article, a systematic procedure for studying the influence of kinetic effects on the stability of MHD ballooning modes is presented, which includes effects due to finite gyroradius, trapped particles, and wave-particle resonances.
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