Mathematics – Logic
Scientific paper
Nov 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989scsmp..32.1353h&link_type=abstract
Science in China, Series A - Mathematics, Physics, Astronomy and Technological Sciences (ISSN 0253-5831), vol. 32, Nov. 1989, p.
Mathematics
Logic
4
Magnetic Field Configurations, Magnetic Flux, Magnetostatics, Solar Magnetic Field, Cosmic Plasma, Partial Differential Equations, Polytropic Processes, Thermodynamic Equilibrium
Scientific paper
An isolated axisymmetric flux tube in a slender magnetic configuration is studied. The magnetostatic model and the stratified atmospheric model are applied, respectively, to the regions inside and outside the flux tube. The problem is described mathematically by nonlinear partial differential equations for a nonlinear boundary condition at the free boundary of the flux tube. According to the approximation of a small expansive angle, the solutions of series expressions are obtained formally. The model for a polytropic plasma is discussed in detail. The results show the distributions of thermodynamic quantities and magnetic field extending from the high-beta region to the low-beta region, and the flux tube may be either divergent or convergent according to the pressure difference outside and inside the flux tube.
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