Analytic solutions for single and multiple cylinders of gravitating polytropes in magnetostatic equilibrium

Astronomy and Astrophysics – Astrophysics

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Gravitational Effects, Magnetic Field Configurations, Magnetostatic Fields, Plasma Cylinders, Plasma Equilibrium, Polytropic Processes, Astronomical Models, Interstellar Matter, Magnetohydrodynamic Stability, Plasma Clouds, Plasma Pinch

Scientific paper

Exact analytic solutions for the static equilibrium of a gravitating plasma polytrope in the presence of magnetic fields are presented. The means of generating various equilibrium configurations to illustrate directly the complex physical relationships between pressure, magnetic fields, and gravity in self-gravitating systems is demonstrated. One of the solutions is used to model interstellar clouds suspended by magnetic fields against the galactic gravity such as may be formed by the Parker (1966) instability. It is concluded that the pinching effect of closed loops of magnetic fields in the clouds may be a dominant agent in further collapsing the clouds following their formation.

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