Magnetohydrodynamic Shallow Water Waves: Linear Analysis

Details Magnetohydrodynamic Shallow Water Waves: Linear Analysis Magnetohydrodynamic Shallow Water Waves: Linear Analysis

2009-08-06

arxiv.org/abs/0908.0946v3

Astronomy and Astrophysics

Astrophysics

High Energy Astrophysical Phenomena

15 pages (emulateapj), 4 figures. Accepted by ApJ (no changes in text from previous versions, but ApJ wants no acronyms in tit

Scientific paper

We present a linear analysis of inviscid, incompressible, magnetohydrodynamic (MHD) shallow water systems. In spherical geometry, a generic property of such systems is the existence of five wave modes. Three of them (two magneto-Poincare modes and one magneto-Rossby mode) are previously known. The other two wave modes are strongly influenced by the magnetic field and rotation, and have substantially lower angular frequencies; as such, we term them "magnetostrophic modes". We obtain analytical functions for the velocity, height and magnetic field perturbations in the limit that the magnitude of the MHD analogue of Lamb's parameter is large. On a sphere, the magnetostrophic modes reside near the poles, while the other modes are equatorially confined. Magnetostrophic modes may be an ingredient in explaining the frequency drifts observed in Type I X-ray bursts from neutron stars.

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