Mathematics
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992esasp.348..193s&link_type=abstract
In ESA, Proceedings of the First SOHO Workshop: Coronal Streamers, Coronal Loops, and Coronal and Solar Wind Composition p 193-1
Mathematics
Coronal Loops, Equilibrium Equations, Solar Gravitation, Temperature Distribution, Magnetic Fields, Mathematical Models, Solar Temperature
Scientific paper
Equations of thermal equilibrium along coronal magnetic loops are solved in the absence and presence of gravity. Without gravity, four categories of loop are found: hot, cool, hot-cool, and warm. Which categories exist depends on two parameters involving the heating, the loop length and the footpoint pressure. Including gravity, the longer hot loops suffer a decrease in their summit temperatures. The hot-cool loops are restricted to a very small range of lengths. A hot-cool arcade can still exist if either the coronal heating or the loop footpoint pressure varies. When the cross sectional area does not vary from footpoint to summit, hot-cool loops may exist only for unrealistically low gravity. However, causing the cross sectional area to vary may allow hot-cool loops to exist for realistic gravity.
Priest Eric R.
Steele Colin D. C.
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