TY - JOUR
T1 - A unified picture of the parallel whistler mode instability
AU - Landau, Ronald W.
AU - Cuperman, Sami
N1 - Funding Information:
One of the authors (S.C.) wishes to thank D.J.Williams, W.Bernstein and R. C. Davidson for useful discussions. This work was supported in part by NOAA under contract E-13520.
PY - 1973/4
Y1 - 1973/4
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/84976123917
U2 - 10.1017/S0022377800007418
DO - 10.1017/S0022377800007418
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AN - SCOPUS:84976123917
SN - 0022-3778
VL - 9
SP - 143
EP - 159
JO - Journal of Plasma Physics
JF - Journal of Plasma Physics
IS - 2
ER -