A novel analytic atmospheric T(τ) relation for stellar models

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Stellar models often use relations between the temperature T and optical depth τ to evaluate the structure of their optically thin outer layers. We fit a novel analytic function to the Hopf function q(τ) of a radiation-coupled hydrodynamics simulation of near-surface convection with solar parameters by Trampedach et al. The fit is accurate to within 0.82% for the solar simulation and to within 13% for all the simulations that are not on either the low-temperature or low-gravity edges of the grid of simulations.

Bibliographic note

Funding information: W.H.B. thanks the UK Science and Technology Facilities Council (STFC) for support under grant ST/R0023297/1. Funding for the Stellar Astrophysics Centre is provided by The Danish National Research Foundation (grant agreement No.: DNRF106).


Original languageEnglish
Article number7
Number of pages3
JournalResearch Notes of the AAS
Issue number1
Publication statusPublished - 12 Jan 2021


  • Stellar atmospheres, Stellar physics, Stellar structures, Stellar surfaces