Properties of longitudinal flux tube waves. I. Shock amplitude relations

Details Properties of longitudinal flux tube waves. I. Shock amplitude relations Properties of longitudinal flux tube waves. I. Shock amplitude relations

Oct 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999a%26a...350.1100c&link_type=abstract

Astronomy and Astrophysics, v.350, p.1100-1106 (1999)

Astronomy and Astrophysics

Astrophysics

5

Magnetohydrodynamics (Mhd), Shock Waves, Methods: Analytical, Sun: Chromosphere, Stars: Chromospheres

Scientific paper

We derive relations between the pressure, density, magnetic field strength, velocity, and other quantities across shocks for the case of longitudinal tube waves. Due to the extreme coupling of the Rankine-Hugoniot relations for this type of waves, these relationships cannot be given separately as function of a given shock strength M_s, contrary to the case of acoustic waves. In case of weak shocks, however, those relationships can successfully be decoupled and evaluated. In this paper, the analytic expansion for these amplitude relations are given. We also compare our analytical results with numerical results for shocks of small and moderately large strength. Comparisons are given for cases with different values of plasma-beta .

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