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Wave modes in a cold pair plasma: the complete phase and group diagram point of view

  • Rony Keppens (a1) (a2) and Hans Goedbloed (a3)
Abstract

We present a complete analysis of all wave modes in a cold pair plasma, significantly extending standard textbook treatments. Instead of identifying the maximal number of two propagating waves at fixed frequency $\unicode[STIX]{x1D714}$ , we introduce a unique labelling of all 5 mode pairs described by the general dispersion relation $\unicode[STIX]{x1D714}(k)$ , starting from their natural ordering at small wavenumber $k$ . There, the 5 pairs start off as Alfvén (A), fast magnetosonic (F), modified electrostatic (M) and electromagnetic O and X branches, and each $\unicode[STIX]{x1D714}(k)$ branch smoothly connects to large wavenumber resonances or limits. For cold pair plasmas, these 5 branches show avoided crossings, which become true crossings at exactly parallel or perpendicular orientation. Only for those orientations, we find a changed connectivity between small and large wavenumber behaviour. Analysing phase and group diagrams for all 5 wave modes, distinctly different from the Clemmow–Mullaly–Allis representation, reveals the true anisotropy of the A, M and O branches.

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Copyright
Corresponding author
Email address for correspondence: rony.keppens@kuleuven.be
References
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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
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Keppens and Goedbloed supplementary material
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