A unified picture of the parallel whistler mode instability

Ronald W. Landau, Sami Cuperman

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


A parametric investigation of parallel right-hand electromagnetic waves below the electron cyclotron frequency has been carried out; this wave is unstable for anisotropic temperatures if Tx> TvSimple analytic expressions for the maximum growth rate have been obtained for the full range of the parameters β„ _ and A_._._ = (Tx/T)_— 1 as they range from zero to infinity. It is shown that the parameter P = Ph_A_{A_+ l)2 has an important role: (i) for P <| 1, the results of Kennel & Petschek (1966), for large resonant velocities, hold; (ii) for P > 1, the results of Sudan (1963, 1965) for small resonant velocities are recovered; (iii) for P > 1 and A > 1, the growth rate approaches an upper limit (near the plasma frequency for hot plasmas) identical to the zero field instability of Weibel (1959). For the caseP > 1 and moderate A values (i.e. Sudan’s regime), analytic expressions for the rates of growth are calculated without restriction on their magnitude.

Original languageEnglish
Pages (from-to)143-159
Number of pages17
JournalJournal of Plasma Physics
Issue number2
StatePublished - Apr 1973


FundersFunder number
National Oceanic and Atmospheric AdministrationE-13520


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