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 - http://www.scopus.com/inward/record.url?scp=84976123917&partnerID=8YFLogxK

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 -