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Electrostatic stability of electron-positron plasmas in dipole geometry
Mishchenko, Alexey; Plunk, Gabriel G.; Helander, Per
AA(Max Planck Institute for Plasma Physics, D-17491 Greifswald, Germany), AB(Max Planck Institute for Plasma Physics, D-17491 Greifswald, Germany), AC(Max Planck Institute for Plasma Physics, D-17491 Greifswald, Germany)
Journal of Plasma Physics, Volume 84, Issue 2, article id. 905840201, 19 pp.
Publication Date:
plasma instabilities,
Abstract Copyright:
(c) 2018: © Cambridge University Press 2018
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The electrostatic stability of electron-positron plasmas is investigated in the point-dipole and Z-pinch limits of dipole geometry. The kinetic dispersion relation for sub-bounce-frequency instabilities is derived and solved. For the zero-Debye-length case, the stability diagram is found to exhibit singular behaviour. However, when the Debye length is non-zero, a fluid mode appears, which resolves the observed singularity, and also demonstrates that both the temperature and density gradients can drive instability. It is concluded that a finite Debye length is necessary to determine the stability boundaries in parameter space. Landau damping is investigated at scales sufficiently smaller than the Debye length, where instability is absent.
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