An improved mass-loss description for dust-driven superwinds and tip-AGB evolution models

¹ Astronomy Centre, CPES, University of Sussex, Falmer, Brighton BN1 9QJ, UK
² Technische Universität Berlin, Zentrum für Astronomie und Astrophysik, PN 8-1, Hardenbergstr. 36, 10623 Berlin, Germany
³ Max-Planck-Institut für Radioastronomie, Auf dem Hügel 69, 53121 Bonn, Germany

Corresponding author: A. Wachter, a.c.wachter@sussex.ac.uk

Received: 7 November 2001
Accepted: 4 January 2002

Abstract

We derive an improved description of dust-driven stellar mass-loss for the cool winds of carbon-rich tip-AGB stars. We use pulsating wind models in which the mass loss is driven by radiation pressure on dust grains, for C-rich chemistry. From a larger set of these models, selected for representative dynamical (pulsational velocity amplitude , period P) and chemical (the abundance ratio) input parameters, an improved approximative mass-loss formula has been derived which depends only on the stellar parameters (effective temperature T_eff, luminosity L and mass M). Due to the detailed consideration of the chemistry and the physics of the dust nucleation and growth processes, there is a particularly strong dependence of the mass-loss rate (in yr) on T_eff: . The dependence of the model mass-loss on the pulsational period has explicitly been accounted for in connection with the luminosity dependence, by applying an observed period–luminosity relation for C-rich Miras. We also apply the improved mass-loss description to our evolution models, and we revisit their tip-AGB mass-loss histories and the total masses lost, in comparison to our earlier work with a preliminary mass-loss description. While there is virtually no difference for the models in the lower mass range of consideration ( to ), we now find more realistic, larger superwind mass-loss rates for larger stellar masses: i.e., between ≈ and  /yr for M_i between 1.85 and 2.65 , removing between 0.6 and 1.2 , respectively, during the final 30 000 yrs on the tip-AGB.