On nonlinear radial adiabatic oscillations in magnetic polytropes

Computer Science – Numerical Analysis

Scientific paper

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Adiabatic Conditions, Magnetic Field Configurations, Magnetohydrodynamics, Nonlinear Systems, Polytropic Processes, Stellar Interiors, Stellar Magnetic Fields, Stellar Models, Stellar Oscillations, Density (Mass/Volume), Electric Current, Frequencies, Gravitation, Numerical Analysis, Pulse Amplitude

Scientific paper

Nonlinear radial adiabatic pulsations of polytropic stellar models are investigated, in the presence of a toroidal magnetic field. It is shown that for finite amplitude pulsations, the frequency of the fundamental mode of oscillations decreases in nonmagnetic polytropes (n less than or equal to 2.5) with lower central mass condensations, while it tends to increase in more centrally condensed n = 3.0 polytropes. Furthermore, for finite amplitude oscillations, the interior toroidal magnetic field increases the frequency of the fundamental mode in polytropes. It is futher shown that the presence of an interior toroidal magnetic field could significantly affect the amplitude and the velocity profiles at the surface.

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