Shear flow-ballooning instability as a possible mechanism for hydromagnetic fluctuations
Article first published online: 20 SEP 2012
Copyright 1986 by the American Geophysical Union.
Journal of Geophysical Research: Space Physics (1978–2012)
Volume 91, Issue A2, pages 1519–1528, 1 February 1986
How to Cite
1986), Shear flow-ballooning instability as a possible mechanism for hydromagnetic fluctuations, J. Geophys. Res., 91(A2), 1519–1528, doi:10.1029/JA091iA02p01519., and (
- Issue published online: 20 SEP 2012
- Article first published online: 20 SEP 2012
- Manuscript Accepted: 21 OCT 1985
- Manuscript Received: 12 AUG 1985
It is suggested that an MHD instability termed the “shear flow-ballooning instability,” which unifies both the Kelvin-Helmholtz and the interchange (“ballooning”) instabilities, can excite hydromagnetic waves in the inner magnetosphere. The stability analysis resembles studies of hydrodynamic flows, where the stabilizing factor is the gravitational buoyancy represented by the Brunt-Väisälä (or Rayleigh-Taylor) frequency Ωg(r). Here the “magnetic buoyancy” due to the curvature of the field lines replaces the gravitational buoyancy and allows the derivation of the MHD analogue to Ωg(r). Stability is then found to depend on a dimensionless quantity termed the magnetic Richardson number (similar to hydrodynamic) Ri = [Ωg²(r) + k∥²Ca²](1 + k∥²/k⊥²)/(dVϕ/dr)² representing the relative importance of gravitational, thermal, rotational, magnetic, and shear flow effects. Unstable MHD modes are found to be represented by Alfvén drift waves which are the hydromagnetic, and shear flow effects. Unstable MHD modes are found to be represented by Alfvén drift waves which are the hydromagnetic analogue to hydrodynamic gravity waves and like them are trapped in the shear zone. The study is applied to the plasmapause boundary, and the results indicate that low-frequency hydromagnetic pulsations (Pc 4-Pc 5) with typical wave periods between 123 and 428 s and wavelengths in the range of 5×10³ to 17.2×10³ km can be excited in such a region. The analysis can be extended to other shear flow boundaries such as the magnetopause.