Island Stability in Phase Space

Starting with a conventional bump on tail problem, which is equivalent to finding a solution of the Vlasov/Fokker-Planck equation in the presence of the phase space island, we obtain a primary equilibrium state. The stability of this state is investigated as a function of the effective velocity-spac...

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Bibliographic Details
Published in:Journal of physics. Conference series 2018-11, Vol.1125 (1), p.12009
Main Authors: Dudkovskaia, A V, Garbet, X, Lesur, M, Wilson, H R
Format: Article
Language:English
Subjects:
Fokker-Planck equation
Parameters
Physics
Plasma Physics
Stability
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Summary:Starting with a conventional bump on tail problem, which is equivalent to finding a solution of the Vlasov/Fokker-Planck equation in the presence of the phase space island, we obtain a primary equilibrium state. The stability of this state is investigated as a function of the effective velocity-space drag and diffusion, as well as the width of these phase space islands. The secondary instabilities have been found in a certain range of plasma parameters and wave numbers. Solving the full Vlasov/Fokker-Planck - Poisson system, we obtain the dispersion function, which provides information about the secondary mode onset and allows an estimate of the secondary mode growth rate for different input plasma parameters.
ISSN:1742-6588
1742-6596
1742-6596
DOI:10.1088/1742-6596/1125/1/012009