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- W2024018733 abstract "Recently, a combined numerical and analytical treatment has shown that, in two-dimensional toroidal geometry, an odd mode with a frequency near the bounce frequency can modify significantly both the poloidal and radial motion of resonant trapped particles. A general analytic treatment of such time-dependent trapped-particle orbits (quasi-bananas) is presented. The average radial coordinate is expressed in terms of the poloidal amplitude and a stroboscopic constant of the motion is obtained, whereby the difference between the maximum and minimum poloidal amplitudes and the radial excursion can be found by simple numerical analysis. In the case of a radially localized mode, for which the shape of the normalized amplitude can be represented by a Lorentzian or a Gaussian profile, the radial excursion can exceed significantly the width of either of the profiles. Approximate expressions obtained for the time evolution of the poloidal amplitude and phase should be useful in determining the quasi-banana modification of the distribution function and, subsequently, the radial transport." @default.
- W2024018733 created "2016-06-24" @default.
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- W2024018733 date "1975-12-01" @default.
- W2024018733 modified "2023-09-24" @default.
- W2024018733 title "Analytic study of the modification of trapped-particle orbits by toroidal modes" @default.
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- W2024018733 doi "https://doi.org/10.1088/0032-1028/17/12/001" @default.
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