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Parametric instabilities of circularly polarized large-amplitude dispersive Alfvén waves: excitation of obliquely-propagating daughter and side-band waves

  • Adolfo F. Viñas (a1) and Melvyn L. Goldstein (a1)

We investigate the parametric instabilities of a large-amplitude circularly polarized dispersive parallel-propagating Alfvén wave. Our treatment is more general than that of previous derivations based on the two-fluid equations in that we allow for propagation of the unstable daughter and side-band waves at arbitrary angles to the background (DC) magnetic field. We present the characteristics of the decay and modulational instabilities as functions of propagation angle. We find, in addition to the well-known decay and modulational instabilities, that at oblique and perpendicular propagation there is another parametric instability, namely the filamentation instability, which is characterized by a broad band-width in wavenumber and which satisfies the condition Re (ω) ≪ γ. A second parametric process at oblique and perpendicular angles of propagation, which has not been reported before is also investigated, namely the parametric magneto-acoustic instability. This instability is distinct from the filamentation instability in that it is characterized by density perturbations with large real frequencies that satisfy the condition Re (ω) ≫ γ. Unlike the filamentation instability, the magneto-acoustic instability extends over a broad angular range, but has a very narrow band-width in wavenumber. We report the dispersive characteristics of the filamentation and magneto-acoustic instabilities as functions of plasma β dispersion η and pump amplitude η for arbitrary propagation angles.

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J. Belcher & L. Davis 1971 J. Geophys. Res. 76, 3534.

N. F. Derby 1978 Astrophys. J. 224, 1013.

D. W. Forslund , J. W. Kindel & E. L. Lindman 1972 Phys. Rev. Lett. 29, 249.

M. L. Goldstein 1978 Astrophys. J. 219, 700

M. Hoshino & M. L. Goldstein 1989 Phys. Fluids, B 1, 1405.

J. A. Ionson & R. S. B. Ong 1976 Plasma Phys. 18, 809.

S. P. Kuo , M. H. Whang & M. C. Lee 1988 J. Geophys. Res. 93, 9621.

S. P. Kuo , M. H. Whang & G. Schmidt 1989 Phys. Fluids, B 1, 734.

C. N. Lashmore-Davies 1976 Phys. Fluids, 19, 587.

M. Longtin & B. U. Ö. Sonnerup 1986 J. Geophys. Res. 91, 6816.

C. R. Ovenden , H. A. Shah & S. J. Schwartz 1983 J. Geophys. Res. 88, 6095.

J.-I. Sakai & B. U. O Sonnerup 1983 J. Geophys. Res. 88, 9069.

P. K. Shukla & L. Stenflo 1989 Astrophys. Space Sci. 155, 145.

L. Stenflo & P. K. Shukla 1988 J. Geophys. Res. 93, 4115.

T. Terasawa , M. Hoshino , J.-I. Sakai & T. Hada 1986 J. Geophys. Res. 91, 4171.

T. W. J. Unti & M. Neugebauer 1968 Phys. Fluids. 11, 563.

A. F. Vinas & M. L. Goldstein 1991 J. Plasma Phys. 46, 107.

H. K. Wong & M. L. Goldstein 1986 J. Geophys. Res. 91, 5617.

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Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
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