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Electrostatic stability of electron–positron plasmas in dipole geometry

Published online by Cambridge University Press:  04 March 2018

Alexey Mishchenko Open the ORCID record for Alexey Mishchenko [Opens in a new window] ,
Gabriel G. Plunk  and
Per Helander
Alexey Mishchenko*
Affiliation:
Max Planck Institute for Plasma Physics, D-17491 Greifswald, Germany
Gabriel G. Plunk
Affiliation:
Max Planck Institute for Plasma Physics, D-17491 Greifswald, Germany
Per Helander
Affiliation:
Max Planck Institute for Plasma Physics, D-17491 Greifswald, Germany
*
†Email address for correspondence: alexey.mishchenko@ipp.mpg.de
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Abstract

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.

Keywords

plasma instabilities
Type
Research Article
Information
Journal of Plasma Physics , Volume 84 , Issue 2 , April 2018 , 905840201
Copyright
© Cambridge University Press 2018 

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