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Astron. Astrophys. 350, 1100-1106 (1999)


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Properties of longitudinal flux tube waves

I. Shock amplitude relations

M. Cuntz 1,2

1 Center for Space Plasma, Aeronomy, and Astrophysics Research (CSPAAR), TH S101, University of Alabama in Huntsville, Huntsville, AL 35899, USA (cuntzm@cspar.uah.edu)
2 Institut für Theoretische Astrophysik der Universität Heidelberg, Tiergartenstrasse 15, D-69121 Heidelberg, Germany

Received 5 July 1999 / Accepted 26 August 1999

Abstract

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 [FORMULA], 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-[FORMULA].

Key words: Magnetohydrodynamics (MHD) – shock waves – methods: analytical – Sun: chromosphere – stars: chromospheres


© European Southern Observatory (ESO) 1999

Online publication: October 14, 1999

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