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Theory of Resonance Influence of Sawtooth Crashes on Ions with Large Orbit Width
Author(s) -
R. B. White,
V. V. Lutsenko,
Ya. I. Kolesnichenko,
Y.V. Yakovenko
Publication year - 1998
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/3753
Subject(s) - sawtooth wave , ion , atomic physics , adiabatic process , physics , resonance (particle physics) , population , charged particle , quantum mechanics , demography , sociology , computer science , computer vision
The role of resonances in the sawtooth-crash-induced redistribution of fast ions is investigated. In particular, the conditions of wave-particle resonant interaction in the presence of the equilibrium electric field and the mode rotation are obtained, and effects of sawteeth on the resonant particles with arbitrary width of non-perturbed orbits are studied. It is found that resonances play the dominant role in the transport of ions having sufficiently high energy. It is shown that the resonance regions may overlap, in which case the resonant particles may constitute the main fraction of the fast ion population in the sawtooth mixing region. The behavior of the resonant particles is studied both by constructing a Poincaré map and analytically, by means of the adiabatic invariant derived in this paper and calculation of the characteristic frequencies of the particle motion

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