Time-dependent models of grain-forming stellar atmospheres

Astronomy and Astrophysics – Astrophysics

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Carbon Stars, Radiation Pressure, Stellar Atmospheres, Stellar Envelopes, Stellar Mass Ejection, Stellar Models, Time Dependence, Atmospheric Models, Grain Boundaries, Late Stars, Nucleation, Red Giant Stars, Steady State

Scientific paper

Completely time-dependent models of the expanding atmospheres of cool, carbon-rich stars were calculated. The driving force for the expansion was radiation pressure on grains. The grains were assumed to have the structure of graphite with σ = 1000 ergs cm-2 The stellar parameters adopted for the models were M = 1.5 Msun, L = 1.94 × 104 Lsun, C/H = 1.22 × 10-3, and C/O = 1.76. Two models were generated. Model 1 had T* = 2500 K and model 2, T* = 2400 K. In both models grain nucleation was negligible at supersaturation levels less than 5. At higher supersaturation levels condensation of small (a ≍ 5.5 × 10-8 cm) grains was sufficiently great to generate mass flows. The calculated mass loss rate for model 1 was 6.2 × 10-9 Msun yr-1 and for model 2, 7.4 × 10-8 Msun yr-1. The mass flow approached a steady state in model 1, but in model 2 a small amplitude pulsation was superposed upon the outward flow. Initially this pulsation was very irregular, but after an elapsed time of 27 × 107 s the model had relaxed into a steady pulsation mode with a period of 6.4 × 107 s. This mode was followed for four periods during which the amplitude of the pulses remained constant. The driving force for this pulsation appears to be an opacity-controlled feedback mechanism which operated between the grain-forming region of the model and the hydrogen dissociation zone. In model 1 the opacity of the grains was too small for this mechanism to produce pulsations.

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