Physics
Scientific paper
Nov 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..73..213s&link_type=abstract
Astrophysics and Space Science, vol. 73, no. 1, Nov. 1980, p. 213-225.
Physics
4
Dynamic Stability, Gravitational Effects, Magnetic Field Configurations, Polytropic Processes, Rotating Cylinders, Stellar Magnetic Fields, Angular Velocity, Equations Of State, Equilibrium Equations, Field Strength, Field Theory (Physics), Numerical Integration
Scientific paper
The effect of a prevalent magnetic field on static and uniformly rotating self-gravitating cylinders of infinite length is examined. The magnetic field is assumed to consist of toroidal and axial components, which are taken to be functions of the radial coordinate alone. A variety of magnetic-field configurations is shown to be admissible solutions of equations of motion, from which some feasible cases are presented. A particular magnetic-field configuration having both toroidal and axial components is studied in detail. The configuration is such that the assumption of a polytropic equation of state reduces the equation governing the density function to a nonhomogeneous cylindrical analog of the Lane-Emden equation for spherical polytropes. The homogeneous case is also studied and shows interesting magnetic-field patterns.
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