Exact static equilibrium of vertically oriented magnetic flux tubes. I - The Schlueter-Temesvary sunspot

Details Exact static equilibrium of vertically oriented magnetic flux tubes. I - The Schlueter-Temesvary sunspot Exact static equilibrium of vertically oriented magnetic flux tubes. I - The Schlueter-Temesvary sunspot

Aug 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980soph...67...57l&link_type=abstract

Solar Physics, vol. 67, Aug. 1980, p. 57-77.

Physics

35

Atmospheric Stratification, Equilibrium Equations, Magnetic Flux, Magnetostatics, Solar Atmosphere, Sunspots, Cylindrical Bodies, Density Distribution, High Temperature Plasmas, Mathematical Models, Pressure Distribution, Pressure Gradients, Solar Magnetic Field, Solar Temperature, Stratified Flow, Temperature Distribution, Vertical Orientation

Scientific paper

A method is prescribed for generating exact solutions of magnetostatic equilibrium describing a cylindrically symmetric magnetic flux tube oriented vertically in a stratified medium. Given the geometric shape of the field lines, compact formulas are presented for the direct calculation of all the possible distributions of pressure, density, temperature and magnetic field strength compatible with these field lines under the condition of static equilibrium. A particular solution is obtained by this method for a medium sized sunspot whose magnetic field obeys the similarity law of Schlueter and Temesvary (1958). It is possible to illustrate explicitly the confinement of the magnetic field of the cool sunspot by the hotter external plasma in an exact relationship involving both magnetic pressure and field tension as well as the support of the weight of the plasma by pressure gradients.

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