Trapped particle destabilization of the internal kink mode

White, R. B.; Chen, L.; Romanelli, M.; Hay, R.

doi:10.1063/1.865198

Cited by 97 publications

(108 citation statements)

References 14 publications

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“…Here, we emphasize that unlike the previous analysis [9][10][11][12][13] the stability window exists even in the absence of core ion finite Larmor radius v9ffect (finite Ol.i).…”

Section: Effects Of Neutral-beam-injected Particles On the N=1 Internmentioning

confidence: 61%

“…We should reiterate here that the first (to./cod) term in Eq. (24) does not cancei with the hot particle contribution to y B , Equation (24) , there is a stability window for P h1 <$u< Ph2-It is important to note that previous studies [9][10][11][12][13] have concluded that Phi -Ph2 so that there is no stability window. The erroneous conclusion is mainly due to the mistake of making exact cancellation of the first (oo./<fld) term in Eq.…”

Section: Analytic Dispersion Relation For the N=1 Interna! Kink Modementioning

confidence: 99%

“…The stabilization of the internal kink mode by trapped a-particles had been reported by several authors [10,17] who studied the analytic dispersion relations by employing large aspect ratio tokamak equilibria. However, this conclusion can not be applicable to finite aspect ratio tokamaks because the analytical studies failed to take ino account the pitch angle variations cf the bounce-averaged magnetic drift frequency <G)d> and the contributions from m=2 and 3 poloidal harmonics.…”

Section: Alpha Particle Effects On the N=1 Internal Modementioning

confidence: 99%

“…(2) with % and integrating over the all plasma volume with the assumption of a fixed conducting boundary, we obtain a quadratic form D«D) = SW, + 8W k -8K=0 , (10) where the inertial energy is given by 5K = to dx pk , ! jV*p|if (11) the total fluid potential energy due to both the core and hot components is and in the limit <a « (Ob.…”

Section: Quadratic Formmentioning

confidence: 99%

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Energetic particle effects on global MHD modes

Cheng¹

1990

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The effects of energetic particles on MHD type modes are studied by analytical theories and the nonvariational kinetic-MHD stability code (NOVA-K). In particular we address the problems of (1) the stabilization of ideal MHD internal kink modes and the excitation of resonant "fishbone" internal modes and (2) the alpha particle destabilization of toroidicityinduced Alfven eigenmodes (TAE) via transit resonances. Analytical theories are presented to help explaining the NOVA-K resufts.For energetic trapped particles generated by neutral-beam injection (NBI) or ion cyclotron resonant heating (ICRH), a stability window for the n*1 internal kink mode in the hot particle beta space exists even in the absence of core ion finite Larmor radius effect (finite to.i).On the other hand, the trapped alpha particles are found to resonantly excite instability of the n«1 internal mode and can lower the critical beta threshold. The circulating alpha particles can strongly destabilize TAE modes via inverse Landau damping associated with the spatial gradient of the alpha particlo pressure. 'This paper is presented as an invited talk at the Thirty-First Annual

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“…Here, we emphasize that unlike the previous analysis [9][10][11][12][13] the stability window exists even in the absence of core ion finite Larmor radius v9ffect (finite Ol.i).…”

Section: Effects Of Neutral-beam-injected Particles On the N=1 Internmentioning

confidence: 61%

Section: Analytic Dispersion Relation For the N=1 Interna! Kink Modementioning

confidence: 99%

Section: Alpha Particle Effects On the N=1 Internal Modementioning

confidence: 99%

Section: Quadratic Formmentioning

confidence: 99%

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Energetic particle effects on global MHD modes

Cheng¹

1990

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“…Most previous work [10][11][12][13] used analytic methods valid for large aspect ratio circular tokamaks. General shaped tokamak equilibria have been considered in a few studies only [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Global Hybrid Simulations of Energetic Particle Effects on the n=1 Mode in Tokamaks: Internal Kink and Fishbone Instability

Fu¹,

Park²,

Strauss³

et al. 2005

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Global hybrid simulations of energetic particle effects on the n=1 internal kink mode have been carried out for tokamaks. For the Internationa Thermonuclear Experimental Reactor (ITER) [ITER Physics Basis Editors et al, Nucl. Fusion 39, 2137.], it is shown that alpha particle effects are stabilizing for the internal kink mode. However, the elongation of ITER reduces the stabilization effects significantly. Nonlinear simulations of the precessional drift fishbone instability for circular tokamak plasmas show that the mode saturates due to flattening of the particle distribution function near the resonance region. The mode frequency chirps down rapidly as the flattening region expands radially outward. Fluid nonlinearity reduces the saturation level.

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Low Frequency Modes in Inhomogeneous Magnetic Fields

Weiland

2012

Springer Series on Atomic, Optical, and Plasma Physics

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Trapped particle destabilization of the internal kink mode

Abstract: This report was praparad as an-account of worJe sponsored ay the Unitad Stat as Govamfflent. Neither the CJnited Scares nor she United Sfcatas Dipartaent of Energy, nor r-'. of thair «ploy««s, nor any of -aeir contss Show more

Cited by 97 publications

References 14 publications

Energetic particle effects on global MHD modes

Energetic particle effects on global MHD modes

Global Hybrid Simulations of Energetic Particle Effects on the n=1 Mode in Tokamaks: Internal Kink and Fishbone Instability

Low Frequency Modes in Inhomogeneous Magnetic Fields

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