Theory of Resonance Influence of Sawtooth Crashes on Ions with Large Orbit Width

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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 ... continued below

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519 Kilobytes

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White, R.B.; Lutsenko, V.V.; Kolesnichenko, Y.I. & Yakovenko, Y.V. February 1, 1998.

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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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519 Kilobytes

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  • Other: DE00003753
  • Report No.: PPPL-3286
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/3753 | External Link
  • Office of Scientific & Technical Information Report Number: 3753
  • Archival Resource Key: ark:/67531/metadc678095

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  • February 1, 1998

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  • July 25, 2015, 2:20 a.m.

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  • April 15, 2016, 7:58 p.m.

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White, R.B.; Lutsenko, V.V.; Kolesnichenko, Y.I. & Yakovenko, Y.V. Theory of Resonance Influence of Sawtooth Crashes on Ions with Large Orbit Width, report, February 1, 1998; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc678095/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.