On the equilibrium of a cylindrical plasma supported horizontally by magnetic fields in uniform gravity

Physics

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Cylindrical Plasmas, Gravitational Effects, Plasma Equilibrium, Solar Magnetic Field, Solar Prominences, Astronomical Models, Hydrogen Plasma, Magnetic Field Configurations, Magnetostatics, Plasma Cylinders, Plasma Pressure, Solar Physics, Temperature Distribution

Scientific paper

The mechanical equilibrium of a cylinder of plasma suspended horizontally by magnetic fields in uniform gravity is examined. A set of exact solutions describing the equilibrium is derived assuming the plasma distribution to be cylindrically symmetric to obtain an exact force balance between plasma pressure, the Lorentz pressure, and gravity in space. The set of solutions considers a case of uniform temperature and cases where the temperature rises from zero at the center of the plasma cylinder to reach a constant asymptotic value outside the cylinder.

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