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

Warrick H. Ball

doi:10.3847/2515-5172/abd9cb

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

Warrick H. Ball

Physics and Astronomy

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Abstract

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.

Original language	English
Article number	7
Number of pages	3
Journal	Research Notes of the AAS
Volume	5
Issue number	1
DOIs	https://doi.org/10.3847/2515-5172/abd9cb
Publication status	Published - 12 Jan 2021

Bibliographical 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).

Keywords

Stellar atmospheres
Stellar physics
Stellar structures
Stellar surfaces

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10.3847/2515-5172/abd9cbLicence: Creative Commons: Attribution (CC BY)

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title = "A novel analytic atmospheric T(τ) relation for stellar models",

abstract = "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.",

keywords = "Stellar atmospheres, Stellar physics, Stellar structures, Stellar surfaces",

author = "Ball, {Warrick H.}",

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).",

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N1 - 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).

PY - 2021/1/12

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N2 - 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.

AB - 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.

KW - Stellar atmospheres

KW - Stellar physics

KW - Stellar structures

KW - Stellar surfaces

U2 - 10.3847/2515-5172/abd9cb

DO - 10.3847/2515-5172/abd9cb

M3 - Article

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JO - Research Notes of the AAS

JF - Research Notes of the AAS

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ER -

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

Abstract

Bibliographical note

Keywords

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