High- n ideal and resistive shear Alfvén waves in tokamaks

doi:10.1016/0003-4916(85)90335-5

Open AccessJournal ArticleDOI

High- n ideal and resistive shear Alfvén waves in tokamaks

Chio-Zong Cheng, +2 more

- 15 Apr 1985 -

Annals of Physics

- 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.

About:

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.

Figures

Fig. 11 "Hie e i^enfunct ion of the r e s i s t i v e p e r i o d i c shear Alfven mode versus 6 for the parameters s = 0 . 2 , v = 1 0 ~ 5 , ou = 0, s = 1, •• id j2 = ( 0 . 4 4 , - 0 , 0 1 4 5 ) .

Fig. 1 The Stokes1 diagram of the potential function Q(6) in the complex 6 plane for s = 1.

Citations

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A self‐consistent theory of collective alpha particle losses induced by Alfvénic turbulence

H. Biglari, +1 more

- 01 Oct 1992 -

Physics of fluids. B, Plasma physics

TL;DR: In this article, the nonlinear dynamics of kinetic Alfven waves, resonantly excited by energetic ions/alpha particles, is investigated. And the most efficient saturation mechanism is found to be self-induced profile modification, while the background magnetohydrodynamic turbulence results in a nonlinear real frequency shift.

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Verification of role of relativity as an explanation for experimental anomaly in dynamics of MeV alpha particles in magnetized plasmas

Kuan-Ren Chen

- 14 Jun 2004 -

Physics Letters A

TL;DR: In this paper, the experimental anomaly of the measured energy spectrum of fusion-produced alphas is revealed and the role of relativity is verified as an explanation by Monte Carlo and particle-in-cell simulations for the first time.

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Journal ArticleDOI

Nonlinear reversed shear Alfvén eigenmode saturation due to spontaneous zonal current generation

Shizhao Wei, +3 more

- 01 Oct 2021 -

Journal of Plasma Physics

TL;DR: In this article, general nonlinear equations describing reversed shear Alfven eigenmode (RSAE) self-modulation via zero-frequency zonal structure (ZFZS) generation are derived using nonlinear gyrokinetic theory, which are then applied to study the spontaneous ZFZs excitation as well as RSAE nonlinear saturation.

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Journal ArticleDOI

Long range frequency chirping of Alfvén eigenmodes

Hooman Hezaveh, +3 more

- 01 May 2020 -

Nuclear Fusion

TL;DR: In this article, a theoretical framework has been developed for an NBI scenario to model the hard nonlinear evolution of Global Alfven Eigenmodes (GAEs) where the adiabatic motion of phase-space sturctures (holes and clumps), associated with the frequency chirping, occurs in generalized phase space of slowing down energetic particles.

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Destabilization of Energetic Particle Modes by Localized Particle Sources

Fulvio Zonca, +1 more

TL;DR: In this article, analytic dispersion relations for Energetic Particle Modes (EPM) excitation via precessional resonance in toroidal systems are derived in various limiting but still relevant cases.

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References

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Harold P. Furth, +2 more

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Physics of Fluids

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Resistive instabilities in general toroidal plasma configurations

A. H. Glasser, +2 more

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Physics of Fluids

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

Liu Chen, +1 more

- 01 Mar 1974 -

Journal of Geophysical Research

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.

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Decay of MHD waves by phase mixing

J. Tataronis, +1 more

- 01 Jan 1973 -

European Physical Journal A

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.

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Kinetic-ballooning-mode theory in general geometry

William Tang, +2 more

- 01 Nov 1980 -

Nuclear Fusion

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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