On the gas temperature in the shocked circumstellar envelopes of pulsating stars. I. Radiative heating and cooling rates.

Astronomy and Astrophysics – Astrophysics

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Radiation Mechanisms: Thermal, Hydrodynamics, Shock Waves, Circumstellar Matter, Stars: Carbon

Scientific paper

Radiative heating and cooling in the circumstellar envelopes of cool stars is investigated, considering gas densities of 10^4...14^cm^-3^ and gas temperatures of 500...20000K. Various heating and cooling processes are included: rotational and ro-vibrational transitions of polar molecules and of H_2_, atomic line transitions, bound-free transitions, free-free transitions and photochemical reactions. Theoretical concepts and computational methods are worked out, which on the one hand can account for important non-LTE effects and radiative trapping and on the other hand allow for a fast and proper inclusion of these heating and cooling rates into time-dependent hydrodynamical model calculations. Radiative cooling timescales for a carbon-enriched gas typical for C-star atmospheres are calculated, and the thermal relaxation of the gas after the passage of shock waves is discussed. A gradual transition of the character of the propagating shock waves is expected to occur at densities around 10^6...8^cm^-3^, changing from predominantly isothermal to predominantly adiabatic with decreasing gas density.

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