Analytical Solutions for Radiation-Driven Winds in Massive Stars II: The $\delta$-slow Regime
| Autor: | Araya, I., Christen, A., Curé, M., Cidale, L. S., Venero, R. O. J., Arcos, C., Gormaz-Matamala, A. C., Haucke, M., Escárate, P., Clavería, H. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1093/mnras/stab995 |
| Popis: | Accurate mass-loss rates and terminal velocities from massive stars winds are essential to obtain synthetic spectra from radiative transfer calculations and to determine the evolutionary path of massive stars. From a theoretical point of view, analytical expressions for the wind parameters and velocity profile would have many advantages over numerical calculations that solve the complex non-linear set of hydrodynamic equations. In a previous work, we obtained an analytical description for the fast wind regime. Now, we propose an approximate expression for the line-force in terms of new parameters and obtain a velocity profile closed-form solution (in terms of the Lambert $W$ function) for the $\delta$-slow regime. Using this analytical velocity profile, we were able to obtain the mass-loss rates based on the m-CAK theory. Moreover, we established a relation between this new set of line-force parameters with the known stellar and m-CAK line-force parameters. To this purpose, we calculated a grid of numerical hydrodynamical models and performed a multivariate multiple regression. The numerical and our descriptions lead to good agreement between their values. Comment: 8 pages, 1 figure, accepted for publication in MNRAS |
| Databáze: | arXiv |
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