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Author: Publisher: ISBN: Category : Languages : en Pages : 19
Book Description
Toroidicity-induced Alfven eigenmodes (TAE) and ellipticity-induced Alfven eigenmodes (EAE) are currently of great interest because they may destroy the confinement of fast ions in a burning tokamak plasma. The present study focuses on kinetic effects, extending the non-perturbative kinetic analysis of the TAE to the EAE. One finds that the parameter which measures the kinetic character of the EAE is significantly smaller than it is for the TAE for elongated plasmas like DIII-D. The parameter is rather small for the lower mode numbers but attains values of order unity or larger for the higher mode numbers, since the parameter scales as the square of the mode number. Consequently, one expects the lower mode number EAE's to have a strongly magnetohydrodynamic (MHD) character, and to suffer only perturbative damping that depends linearly on the dissipative mechanisms. However, while the former is true, the latter is not necessarily the case. This work examines these kinetic T/EAE(KT/EAE) modes in further detail.
Author: Publisher: ISBN: Category : Languages : en Pages : 19
Book Description
Toroidicity-induced Alfven eigenmodes (TAE) and ellipticity-induced Alfven eigenmodes (EAE) are currently of great interest because they may destroy the confinement of fast ions in a burning tokamak plasma. The present study focuses on kinetic effects, extending the non-perturbative kinetic analysis of the TAE to the EAE. One finds that the parameter which measures the kinetic character of the EAE is significantly smaller than it is for the TAE for elongated plasmas like DIII-D. The parameter is rather small for the lower mode numbers but attains values of order unity or larger for the higher mode numbers, since the parameter scales as the square of the mode number. Consequently, one expects the lower mode number EAE's to have a strongly magnetohydrodynamic (MHD) character, and to suffer only perturbative damping that depends linearly on the dissipative mechanisms. However, while the former is true, the latter is not necessarily the case. This work examines these kinetic T/EAE(KT/EAE) modes in further detail.
Author: Publisher: ISBN: Category : Languages : en Pages : 29
Book Description
An analytic kinetic description of the toroidicity-induced Alfven eigenmode (TAE) is presented. The theory includes electron parallel dynamics non-perturbatively, an effect which is found to strongly influence the character and damping of the TAE -- contrary to previous theoretical predictions. We use a parallel conductivity model that includes collisionless (Landau) damping on the passing electrons and collisional damping on both trapped and passing electrons. Together, these mechanisms damp the TAE more strongly than previously expected. This is because the TAE couples (or merges) with the kinetic Alfven wave (KAW) if the gap is sufficiently thin and/or the magnitude of the conductivity is sufficiently small. The high damping could be relevant to recent experimental measurements of the TAE damping coefficient. In addition, the theory predicts a kinetic'' TAE, whose eigenfrequency lies just above the gap, whose existence depends on finite conductivity, and which is formed by the coupling of two KAWs.
Author: Publisher: ISBN: Category : Aeronautics Languages : en Pages : 376
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: A.B Mikhailovskii Publisher: Routledge ISBN: 1351438166 Category : Science Languages : en Pages : 496
Book Description
Instabilities in a Confined Plasma is entirely devoted to a theoretical exposition of the subject of plasma instabilities in confined systems. The book is an important contribution to the study of plasma instabilities, not only in fusion devices such as the Tokamak but also in astrophysical phenomena. It covers toroidal confinement systems, internal MHD modes, small-scale MHD instabilities, MHD internal kink modes, MHD modes in collisionless and neoclassical regimes, drift-MHD modes, external kink modes, and Alfven eigenmodes.
Author: Publisher: ISBN: Category : Languages : en Pages :
Book Description
A numerical algorithm to study the nonlinear, resonant interaction of fast particles with Alfven waves in tokamak geometry has been developed. The scope of the formalism is wide enough to describe the nonlinear evolution of fishbone modes, toroidicity-induced Alfven eigenmodes and ellipticity-induced Alfven eigenmodes, driven by both passing and trapped fast ions. When the instability is sufficiently weak, it is known that the wave-particle trapping nonlinearity will lead to mode saturation before wave-wave nonlinearities are appreciable. The spectrum of linear modes can thus be calculated using a magnetohydrodynamic normal-mode code, then nonlinearly evolved in time in an efficient way according to a two-time-scale Lagrangian dynamical wave model. The fast particle kinetic equation, including the effect of orbit nonlinearity arising from the mode perturbation, is simultaneously solved of the deviation, [delta]f= f[minus] f[sub 0], from an initial analytic distribution f[sub 0]. High statistical resolution allows linear growth rates, frequency shifts, resonance broadening effects, and nonlinear saturation to be calculated quickly and precisely. The results have been applied to an ITER instability scenario. Results show that weakly-damped core-localized modes alone cause negligible alpha transport in ITER-like plasmas--even with growth rates one order of magnitude higher than expected values. However, the possibility of significant transport in reactor-type plasmas due to weakly unstable global modes remains an open question.
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Author: Jeff Candy
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Author: A.B Mikhailovskii
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Author: Ricardo Betti
Author: Massachusetts Institute of Technology. Research Laboratory of Electronics