Influence of resistivity on energetic trapped particle-induced internal kink modes

Biglari, H.; Chen, Liu

doi:10.1063/1.865652

Cited by 33 publications

(26 citation statements)

References 5 publications

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“…(42) have been derived in many works on the effect of supra-thermal particles on low frequency MHD modes by precession resonance. 34,[153][154][155][156][157][158][159] Meanwhile, the generality of Eq. (42) and its applicability to low-frequency MHD modes, 34,160 as well as to KBM 72,132 and higher frequency Alfv enic fluctuations, 110,112,161 was formulated in Refs.…”

Section: The General Fishbone-like Dispersion Relationmentioning

confidence: 98%

Theory on excitations of drift Alfvén waves by energetic particles. I. Variational formulation

2014

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A unified theoretical framework is presented for analyzing various branches of drift Alfvén waves and describing their linear and nonlinear behaviors, covering a wide range of spatial and temporal scales. Nonlinear gyrokinetic quasineutrality condition and vorticity equation, derived for drift Alfvén waves excited by energetic particles in fusion plasmas, are cast in integral form, which is generally variational in the linear limit; and the corresponding gyrokinetic energy principle is obtained. Well known forms of the kinetic energy principle are readily recovered from this general formulation. Furthermore, it is possible to demonstrate that the general fishbone like dispersion relation, obtained within the present theoretical framework, provides a unified description of drift Alfvén waves excited by energetic particles as either Alfvén eigenmodes or energetic particle modes. The advantage of the present approach stands in its capability of extracting underlying linear and nonlinear physics as well as spatial and temporal scales of the considered fluctuation spectrum. For these reasons, this unified theoretical framework can help understanding experimental observations as well as numerical simulation and analytic results with different levels of approximation. Examples and applications are given in Paper II [F. Zonca and L. Chen, “Theory on excitations of drift Alfvén waves by energetic particles. II. The general fishbone-like dispersion relation,” Phys. Plasmas 21, 072121 (2014)].

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Section: The General Fishbone-like Dispersion Relationmentioning

confidence: 98%

Theory on excitations of drift Alfvén waves by energetic particles. I. Variational formulation

2014

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“…94,95 Theoretical studies of collisionless kinetic ballooning modes (KBM) [106][107][108] in particular attracted significant attention, with emphasis on the possibility of exciting short wavelength modes by EPs. 3,4,11,[109][110][111][112][113][114] The experimental observation of BAEs, 98,99 excited by EPs in the low-frequency SAW continuous spectrum gap due to finite thermal plasma compressibility, 99,115,116 has revived the interest in this frequency range because of the impact of these fluctuations on EP confinement (cf. Sec.…”

Section: The Low Frequency Shear Alfv En Wave Spectrummentioning

confidence: 99%

Theory on excitations of drift Alfvén waves by energetic particles. II. The general fishbone-like dispersion relation

2014

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The theoretical framework of the general fishbone-like dispersion relation (GFLDR), presented and discussed in the Companion Paper [Phys. Plasmas 21, 072120 (2014)], is applied to cases of practical interest of shear/drift Alfv en waves (SAWs/DAWs) excited by energetic particles (EPs) in toroidal fusion plasmas. These applications demonstrate that the GFLDR provides a unified approach that allows analytical and numerical calculations of stability properties, as well as mode structures and, in general, nonlinear evolutions, based on different models and with different levels of approximation. They also show the crucial importance of kinetic descriptions, accurate geometries and boundary conditions for predicting linear as well as nonlinear SAW/DAW and EP behaviors in burning plasmas. Thus, the GFLDR unified theoretical framework elevates the interpretative capability for both experimental and numerical simulation results. [

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“…Following Ref. [16], δW RL ∝ R þ∞ −∞ ½ðγτ A Þ 2 jξ 0 j 2 − snmxξ Ã ψ 1 00 =r s dx, which can be shown to be proportional…”

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confidence: 91%

“…For the m ¼ 1 mode (the internal kink mode), δW RL is inversely proportional to Δ 0 int , as shown in Ref. [16]. Now we consider a cylindrical plasma described in Ref.…”

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confidence: 94%

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Plasma-Resistivity-Induced Strong Damping of the Kinetic Resistive Wall Mode

Liu

et al. 2014

Phys. Rev. Lett.

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An energy-principle-based dispersion relation is derived for the resistive wall mode, which incorporates both the drift kinetic resonance between the mode and energetic particles and the resistive layer physics. The equivalence between the energy-principle approach and the resistive layer matching approach is first demonstrated for the resistive plasma resistive wall mode. As a key new result, it is found that the resistive wall mode, coupled to the favorable average curvature stabilization inside the resistive layer (as well as the toroidal plasma flow), can be substantially more stable than that predicted by drift kinetic theory with fast ion stabilization, but with the ideal fluid assumption. Since the layer stabilization becomes stronger with decreasing plasma resistivity, this regime is favorable for reactor scale, high-temperature fusion devices.

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Influence of resistivity on energetic trapped particle-induced internal kink modes

Cited by 33 publications

References 5 publications

Theory on excitations of drift Alfvén waves by energetic particles. I. Variational formulation

Theory on excitations of drift Alfvén waves by energetic particles. I. Variational formulation

Theory on excitations of drift Alfvén waves by energetic particles. II. The general fishbone-like dispersion relation

Plasma-Resistivity-Induced Strong Damping of the Kinetic Resistive Wall Mode

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