2014
DOI: 10.1088/0004-637x/795/1/81
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Analytical Solutions for Radiation-Driven Winds in Massive Stars. I. The Fast Regime

Abstract: Accurate mass-loss rate estimates are crucial keys to study wind properties of massive stars and test different evolutionary scenarios. From a theoretical point of view, this implies to solve a complex set of differential equations in which the radiation field and the hydrodynamics are strong coupled. The use of analytical expression to represent the radiation force and the solution of the equation of motion have many advantages over numerical integrations. Therefore, in this work, we present an analytical exp… Show more

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Cited by 8 publications
(34 citation statements)
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References 23 publications
(47 reference statements)
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“…Alternative formulations of the radiation force (Müller & Vink 2008) can also be expressed in terms of the m-CAK lineforce parameters (Araya et al 2014).…”
Section: The Hydrodynamical Wind Modelmentioning
confidence: 99%
“…Alternative formulations of the radiation force (Müller & Vink 2008) can also be expressed in terms of the m-CAK lineforce parameters (Araya et al 2014).…”
Section: The Hydrodynamical Wind Modelmentioning
confidence: 99%
“…To obtain a reliable expression for the line-acceleration we use the radiative transfer code CMFGEN. We then use the Lambert Wfunction (Corless et al 1993(Corless et al , 1996Müller & Vink 2008;Araya et al 2014), which is a mathematical function that arises as a solution of the wind's stationary equation of motion (see Appendix A for a formal definition of Lambert W -function) to obtain a new self-consistent velocity profile no longer based in the β-law formalism.…”
Section: Introductionmentioning
confidence: 99%
“…De esta manera, se encontró que las ecuaciones hidrodinámicas para vientos impulsados por rotación, que son fuertemente no lineales, pueden originar más de un tipo de soluciones. Curé & Rial (2004) estudiaron las características topológicas de la nueva solución y Araya et al (2014) presentaron expresiones analíticas aproximadas para la aplicación de las soluciones.…”
Section: Los Vientos Estelares En Las Estrellas Masivasunclassified
“…Usando las expresiones para la aceleración en las líneas espectrales dada por Villata (1992), y la metodología propuesta por Müller & Vink (2008), Araya et al (2014) presentaron expresiones analíticas útiles para modelar las soluciones hidrodinámicas rápidas, de modo que el uso de las mismas no implique la resolución completa de las ecuaciones ni la disponibilidad de los códigos de cálculo necesarios.…”
Section: (B)unclassified
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