An analytical model for stellar coronae

Computer Science – Sound

Scientific paper

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Chromosphere, Mathematical Models, Stellar Coronas, Stellar Models, Stellar Temperature, Atmospheric Heating, Solar Corona, Solar Flux Density, Sound Waves

Scientific paper

A semianalytical model based on the assumption of an isothermal corona and a transition region of constant pressure is developed for stationary stellar coronae. It is shown that the temperature structure of the transition region can be described by a one-parameter differential equation, leading to a one-parameter set of solutions for the transition region temperature structure. A comparison is also made of the results obtained by assuming, first, acoustic heating, and then replacing it by constant heating up to an arbitrary height. In the first case, it is shown that the period and flux of the sound waves that heat the corona are the only external parameters needed to describe the corona and transiton region. The second case demonstrates that only the heating function needs to be specified in order to obtain a full solution.

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