2002
DOI: 10.1063/1.1499953
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Wave dissipation by electron Landau damping in low aspect ratio tokamaks with elliptic magnetic surfaces

Abstract: Longitudinal dielectric permittivity elements are derived for radio-frequency waves in an axisymmetric tokamak with elliptic magnetic surfaces, for arbitrary elongation and inverse aspect ratio. A collisionless plasma model is considered. Drift-kinetic equation is solved separately for untrapped (passing or circulating) and three groups of the trapped particles as a boundary-value problem. Bounce resonances are taken into account. A coordinate system with the “straight” magnetic field lines is used. Permittivi… Show more

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Cited by 12 publications
(13 citation statements)
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“…To obtain the total expressions of the permittivity elements, as usual, it is necessary to carry out the summation over all species of plasma particles. The same comments should be addressed to the total expressions of the current density components, (22,23) Since the whole spectrum of the E-field (by ±∞ m ) is present in the given (by m) current density harmonic, see (33) and (34), it is necessary to take into account that the poloidal eigenmode numbers excited in LDMFP may differ from the basic mode number(s) generated by the antenna system. Moreover, the excitation/dissipation of E (m ) -harmonics with m = m can cause the additional heating of both the trapped and untrapped particles and destabilise a wide class of the low-frequency oscillations.…”
Section: Dielectric Tensor Elementsmentioning
confidence: 99%
See 1 more Smart Citation
“…To obtain the total expressions of the permittivity elements, as usual, it is necessary to carry out the summation over all species of plasma particles. The same comments should be addressed to the total expressions of the current density components, (22,23) Since the whole spectrum of the E-field (by ±∞ m ) is present in the given (by m) current density harmonic, see (33) and (34), it is necessary to take into account that the poloidal eigenmode numbers excited in LDMFP may differ from the basic mode number(s) generated by the antenna system. Moreover, the excitation/dissipation of E (m ) -harmonics with m = m can cause the additional heating of both the trapped and untrapped particles and destabilise a wide class of the low-frequency oscillations.…”
Section: Dielectric Tensor Elementsmentioning
confidence: 99%
“…The corresponding kinetic equations, their solutions and dielectric tensor evaluation for radio frequency waves in the toroidal plasmas with arbitrary tokamak aspect ratio have been present in [22][23][24], respectively, for circular, elliptic and D-shaped magnetic surfaces.…”
Section: A Vlasov Equation For Plasma Particles In the Arbitrary Magnmentioning
confidence: 99%
“…The main feature of a toroidal plasma with elliptic magnetic surfaces is the fact (see, e.g., Refs. [13][14][15][16]) that the equilibrium magnetic field, in the general case, can have two local minimums (or five extremums, with respect to θ ). As a result, together with the untrapped and usual t-trapped particles, two additional groups of the socalled d-trapped (or double-trapped) particles can appear at such magnetic surfaces if/where the corresponding criterion is satisfied:…”
Section: Introductionmentioning
confidence: 99%
“…In this paper, the parallel dielectric permittivity elements are derived for radio-frequency waves in an axisymmetric toroidal collisionless plasma with D-shaped magnetic surfaces under arbitrary aspect ratio, arbitrary elongation, and small triangularity. The drift-kinetic equation is solved separately for untrapped and three groups of trapped particles as a boundary-value problem, using an approach developed for low aspect ratio tokamaks with circular [12], elliptic [16] and D-shaped [17] magnetic surfaces. The limits for the more simple plasma models are considered.…”
Section: Introductionmentioning
confidence: 99%
“…In the ideal, magneto-hydrodynamic (MHD) limit Alfvén waves propagate exactly along the background magnetic field lines, but more realistic descriptions of these waves include the effects of either electron inertia or pressure which leads to a nonzero parallel electric field of the wave and cross-field propagation. This description has been invoked to explain the spatial structure of the shear wave and electron acceleration in phenomena ranging from auroral arcs [1][2][3], ionospheric density cavities [4,5], coronal loops [6], the solar wind [7], to tokamaks [8] and other laboratory plasmas [9]. When expanding on the MHD limit, it is important to consider the ratio of the electron thermal speed (v T e is the electron temperature in eV, m e the electron mass, B 0 the background field strength, n i the ion density, and m i the ion mass.…”
mentioning
confidence: 99%