1996
DOI: 10.1007/bf01690676
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The parallel permittivity of magnetized toroidal plasmas with elliptic magnetic surfaces

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Cited by 13 publications
(12 citation statements)
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“…[1][2][3] Thus, investigations of circulating and trapped particle dynamics in tokamaks are very important for the understanding of AWCD in tokamaks. Now there is significant progress in the consideration of this problem in tokamaks with circular 14,15 and elongated 16 cross-sections. The idea of using the Jacoby function for the description of particle dynamics in radio-frequency fields 15,16 is productive and allows one to obtain simple enough formulas for the dielectric permeability tensor.…”
Section: Introductionmentioning
confidence: 99%
“…[1][2][3] Thus, investigations of circulating and trapped particle dynamics in tokamaks are very important for the understanding of AWCD in tokamaks. Now there is significant progress in the consideration of this problem in tokamaks with circular 14,15 and elongated 16 cross-sections. The idea of using the Jacoby function for the description of particle dynamics in radio-frequency fields 15,16 is productive and allows one to obtain simple enough formulas for the dielectric permeability tensor.…”
Section: Introductionmentioning
confidence: 99%
“…This is why, in a first approximation, we can assume that θ = πu; that is, we take into account only the bounce resonances with s = 0. As shown by Nekrasov (1992) and Nekrasov et al (1996), this corresponds approximately to the first term of the expansion of the function θ = θ(u) in a so-called q-series (Gradshteyn and Ryzhik 1990). After some calculations, we have…”
Section: Perturbed Distribution Functionmentioning
confidence: 94%
“…Nevertheless, in modern large-scale tokamaks the ellipticity is large at some value of the radial coordinate, leading to trapping of particles in additional regions of magnetic field wells (Fasoli et al 1996). This question has also been discussed by Nekrasov et al (1996).…”
Section: Introductionmentioning
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%