Continuum damping of high-mode-number toroidal Alfvén waves

Rosenbluth, M. N.; Berk, H. L.; Dam, J. W. Van; Lindberg, Daniel M.

doi:10.1103/physrevlett.68.596

Cited by 149 publications

(108 citation statements)

References 8 publications

(7 reference statements)

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“…(10). The behavior of local TAE solutions has been obtained in previous works [1,7,8,17,18] and shows ' p;u () e (i 0 jj) which has a \fast" variation in and an exponentially decaying behavior at jj ! 1 , where the local eigenfrequency 0 !qR=V A ' 1=2, and 0 < < 0 = r 0 =R.…”

Section: Numerical Proceduresmentioning

confidence: 64%

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HINST: A 2-D Code for High-n TAE Stability

Cheng¹,

Gorelenkov²,

Tang³

1998

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A high-n stability code, HINST, has been developed to study the stability o f T AE (Toroidicity induced Alfv en Eigenmodes) in large tokamaks such as ITER where the spectrum of unstable TAE modes is shifted toward medium to high-n modes. The code solves the 2-D eigenmode problem by expanding the eigenfunction in terms of basis functions. Based on the Fourier-ballooning formalism the eigenmode problem is reduced to a system of coupled 1-D equations, which is solved numerically by using the nite element method and a SPARSE matrix solver. The numerical method allows to include non-perturbatively non-ideal eects such as: full ion FLR, trapped electron collisional damping, etc. The 2D numerical results of TAE and Resonance TAE modes are compared with those from local ballooning calculations and global MHD NOVA code. The results show that for ITER-like plasma parameters, TAE and RTAE modes can be driven unstable by alpha particles for n = 1 0 20. The growth rate for the most unstable mode is within the range =! A '0:3 1:5%. The most unstable modes are localized near r=a ' 0:5 and have a broad radial mode envelope width.

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Section: Numerical Proceduresmentioning

confidence: 64%

“…[15] in application to the study of ballooning modes, and in Ref. [16] to the study of TAE, where many results of previous work [1,7,8,17,18] were recovered.…”

Section: Introductionmentioning

confidence: 89%

HINST: A 2-D Code for High-n TAE Stability

Cheng¹,

Gorelenkov²,

Tang³

1998

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“…For example toroidal geometry influences both mode structures of Toroidal Allven Eigenmodes (TAE) [18] as well as their resonant absorption due to the nonlocal couphng with the s.A. continuum [19,20]. A large variety of Alfvenic oscillations are observed experimentally and there exists an entire "zoology" for their classification based on empirical observations [21].…”

Section: Collective Behaviors and Fast Ion Transportmentioning

confidence: 99%

Nonlinear Dynamics and Complex Behaviors in Magnetized Plasmas of Fusion Interest

Zonca¹,

Chen²

2008

AIP Conference Proceedings

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Abstract. Complexity and self-organization in burning plasmas are consequence of the interaction of energetic ions with plasma instabilities and turbulence; of the strong nonlinear coupling that will take place between fusion reactivity profiles, pressure driven currents, MHD stability, transport and plasma boundary interactions, mediated by the energetic particle population; and finally of the long time scale nonlinear (complex) behaviors that may affect the overall fusion performance and eventually pose issues for the stability and control of the fusion burn. These issues are briefly discussed in this work, with a view on their potential applications to other research areas.

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“…43 Experiments showed that modes with low toroidal mode number n are stabilized when the mode frequency intersects the Alfvén continuum, 44,45 as predicted by continuum damping theory. 46,47 Local stability estimates suggested that coupling to kinetic Alfvén waves~"radiative" damping 48 ! was the dominant damping mechanism and accounted for the observed range of unstable toroidal mode numbers.…”

Section: Iva Toroidicity Induced Alfvén Eigenmodementioning

confidence: 99%