A model of anisotropic winds from rotating stars for evolutionary calculations

Abstract

Context: The surface properties of rotating stars can vary from pole to equator, resulting in anisotropic stellar winds which are not included in the currently available evolutionary models. Aims: We develop a formalism to describe the mass and angular momentum loss of rotating stars which takes into account both the varying surface properties and distortion due to rotation. Methods: Adopting the mass-loss recipe for non-rotating stars, we assigned to each point on the surface of a rotating star an equivalent non-rotating star, for which the surface mass flux is given by the recipe. The global mass-loss and angular momentum loss rates are then given by integrating over the deformed stellar surface as appropriate. Evolutionary models were computed and our prescription is compared to the currently used simple mass-loss enhancement recipes for rotating stars. Results: We find that mass-loss rates are largely insensitive to rotation for models not affected by the bi-stability jump. For those affected by the bi-stability jump, the increase in mass-loss rates with respect to time is smoothed. As our prescription considers the variation of physical conditions over the stellar surface, the region affected by the bi-stability jump is able to grow gradually instead of the whole star suddenly being affected. Conclusion: We have provided an easy to implement and flexible, yet physically meaningful prescription for calculating mass and angular momentum loss rates of rotating stars in a one-dimensional stellar evolution code which compares favourably to more physically comprehensive models. The implementation of our scheme in the stellar evolution code MESA is available online: https://zenodo.org/record/7437006

arXiv commentAccepted for publication in A&A. 12 pages

References in corpus (45)

• Modules for Experiments in Stellar Astrophysics (MESA): Giant Planets, Oscillations, Rotation, and Massive Stars
• Modules for Experiments in Stellar Astrophysics (MESA): Pulsating Variable Stars, Rotation, Convective Boundaries, and Energy Conservation
• Mass-loss predictions for O and B stars as a function of metallicity
• Presupernova Evolution of Rotating Massive Stars I: Numerical Method and Evolution of the Internal Stellar Structure
• Dynamo action by differential rotation in a stably stratified stellar interior
• Rotating Massive Main-Sequence Stars I: Grids of Evolutionary Models and Isochrones
• A new route towards merging massive black holes
• Classical Be Stars: Rapidly Rotating B Stars with Viscous Keplerian Decretion Disks
• Single star progenitors of long gamma-ray bursts I: Model grids and redshift dependent GRB rate
• Imaging the Surface of Altair
• Gravity darkening in rotating stars
• A Stellar Rotation Census of B Stars: from ZAMS to TAMS
• Evolution towards the critical limit and the origin of Be stars
• Constraining the mass transfer in massive binaries through progenitor evolution models of Wolf-Rayet+O binaries
• Bright OB stars in the Galaxy IV. Stellar and wind parameters of early to late B supergiants
• Massive main sequence stars evolving at the Eddington limit
• The VLT-FLAMES Tarantula Survey X: Evidence for a bimodal distribution of rotational velocities for the single early B-type stars
• A Statistical Study of Threshold Rotation Rates for the Formation of Disks around Be Stars
• Colder and Hotter: Interferometric imaging of β Cassiopeiae and α Leonis
• Constraining mixing in massive stars in the Small Magellanic Cloud
• Self-consistent 2D models of fast rotating early-type star
• Imaging and Modeling Rapidly Rotating Stars: Alpha Cephei and Alpha Ophiuchi
• Core-halo Structure of Chemically Homogeneous Massive Star and Bending of Zero-Age Main-Sequence
• Mass and angular momentum loss via decretion disks
• Populations of rotating stars II. Rapid rotators and their link to Be-type stars
• Detailed models of interacting short-period massive binary stars
• The metallicity dependence of envelope inflation in massive stars
• The influence of rotation in radiation driven wind from hot stars: New solutions and disk formation in Be stars
• New predictions for radiation-driven, steady-state mass-loss and wind-momentum from hot, massive stars. I. Method and first results
• Rotating massive O stars with non-spherical 2D winds
• The Single Star Path to Be Stars
• Pre-collapse Properties of Superluminous Supernovae and Long Gamma-Ray Burst Progenitor Models
• Fast & slow winds from supergiants and Luminous Blue Variables
• Outflowing disk formation in B[e] supergiants due to rotation and bi--stability in radiation driven winds
• Surface temperature and synthetic spectral energy distributions for rotationally deformed stars
• New mass-loss rates of B supergiants from global wind models
• Critical angular velocity and anisotropic mass loss of rotating stars with radiation-driven winds
• Evolution of rotation in rapidly rotating early-type stars during the main sequence with 2D models
• Internal circulation in tidally locked massive binary stars -- Consequences for double black hole formation
• The influence of rotation in radiation driven winds from hot stars II. CAK topological analysis
• Hydrodynamic Winds From Twin-Star Binaries
• Properties of the Be-type stars in 30 Doradus
• Physical processes leading to surface inhomogeneities: the case of rotation
• Synthetic Spectra of Rotating Stars
• Limb-Darkened Radiation-Driven Winds from Massive Stars

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