Abstract

Abstract δ Scuti variables are stars which exhibit periodic changes in their luminosity through radial and nonradial pulsations. Internally, these stars have relatively small convective cores, and convective overshoot can significantly affect the size. Recently, models of radial pulsation in δ Scuti stars found a strong correlation between the pulsation constant (Q) as a function of effective temperature and the amount of convective overshoot within the star. However, only models with metallicities of Z = 0.02 were examined, leaving the dependence of` this relationship on chemical composition unknown. In this work, we have extended the model grid to cover a range of metallicities using Modules for Experiments in Stellar Astrophysics (), and analyzed the models’ pulsation properties using GYRE. By varying the models’ mass, rotation speed, convective overshoot, and metallicity, we studied the behavior of Q at low temperature. We found that the updated convective boundary treatment in MESA changes the overshoot dependence found previously, and the value of the slope depends on both rotation and overshoot. We also found that there is a metallicity dependence in the Q values. The lowest metallicity models in our grid reached higher temperatures than previously studied, revealing a parabolic relation between log Q and log T eff .

Highlights

  • INTRODUCTION δScuti variables are located on the pre-main sequence to the post-main sequence with masses between 1.4 and 2.5 M⊙, located where the classical instability strip intersects the main sequence

  • Models of radial pulsation in δ Scuti stars found a strong correlation between the pulsation constant (Q) as a function of effective temperature and the amount of convective overshoot within the star

  • We found that the updated convective boundary treatment in MESA changes the overshoot dependence found previously, and the value of the slope depends on both rotation and overshoot

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Summary

MODELS

We calculated a grid of stellar models using MESA (Modules for Experiments in Stellar Astrophysics) version 12115 Paxton et al (2011, 2013, 2015, 2018, 2019) These models included the effects of convective overshoot in models from 1.2 to 2.2 M⊙ in 0.1 M⊙ increments. The convective overshoot parameter in Equation 3 is allowed to vary between 0 and 0.1 for these models in steps of 0.02, again replicating the model grid of Lovekin & Guzik (2017). This parameter determines the amount of convective overshooting present in the stellar model both above convective cores and below convective envelopes. We do not include the effects of rotation in GYRE, taking into account only the centrifugal distortion from the underlying MESA models

BEHAVIOUR OF Q
Low Temperature Results
High Temperature Results
Metallicity Effects
INFLUENCE OF CONVECTION
CONCLUSION
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