Ducted compressional waves in the magnetosphere in the double-polytropic approximation

I. Ballai (1, 2) , R. Erdélyi (1) , B. Roberts (2)

1 SPARC - Space and Atmosphere Research Center [Sheffield]
2 School of Mathematics and Statistics [St Andrews]

Small-amplitude compressional magnetohydrodynamic-type waves are studied in the magnetosphere. The magnetosphere is treated as a rarefied plasma with anisotropy in the kinetic pressure distribution. The parallel and perpendicular pressures are defined by general polytropic pressure laws. This double-polytropic model can be considered as a natural extension of the magnetohydrodynamic (MHD) model when the plasma is collisionless.

Generalized dispersion relations for surface and body waves are derived and analyzed for an isolated magnetic slab. The waves are confined to the slab. For specific polytropic indices, the results obtained in the (i) Chew-Goldberger-Low (CGL) double-adiabatic and (ii) double-isothermal approximations are recovered.

Domaines: Océan, Atmosphère; Sciences de la Terre

I. Ballai, R. Erdélyi, B. Roberts. Ducted compressional waves in the magnetosphere in the double-polytropic approximation. Annales Geophysicae, 2002, 20 (10), pp.1553-1558. ⟨hal-00317170⟩