Does the Scaling Relation Depend on Metallicity? Insights from 3D Convection Simulations

Solar-like oscillations have been detected in thousands of stars thanks to modern space missions. These oscillations have been used to measure stellar masses and ages, which have been widely applied in Galactic archeology. One of the pillars of such applications is the ${\nu }_{\max }$ scaling relat...

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Main Authors: Yixiao Zhou, Jørgen Christensen-Dalsgaard, Martin Asplund, Yaguang Li, Regner Trampedach, Yuan-Sen Ting, Jakob L. Rørsted
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:The Astrophysical Journal
Subjects:
Online Access:https://doi.org/10.3847/1538-4357/ad1834
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author Yixiao Zhou
Jørgen Christensen-Dalsgaard
Martin Asplund
Yaguang Li
Regner Trampedach
Yuan-Sen Ting
Jakob L. Rørsted
author_facet Yixiao Zhou
Jørgen Christensen-Dalsgaard
Martin Asplund
Yaguang Li
Regner Trampedach
Yuan-Sen Ting
Jakob L. Rørsted
author_sort Yixiao Zhou
collection DOAJ
description Solar-like oscillations have been detected in thousands of stars thanks to modern space missions. These oscillations have been used to measure stellar masses and ages, which have been widely applied in Galactic archeology. One of the pillars of such applications is the ${\nu }_{\max }$ scaling relation: the frequency of maximum power ${\nu }_{\max }$ , assumed to be proportional to the acoustic cutoff frequency, ν _ac , scales with effective temperature and surface gravity. However, the theoretical basis of the ${\nu }_{\max }$ scaling relation is uncertain, and there is an ongoing debate about whether it can be applied to metal-poor stars. We investigate the metallicity dependence of the ${\nu }_{\max }$ scaling relation by carrying out 3D near-surface convection simulations for solar-type stars with [Fe/H] between −3 and 0.5 dex. First, we found a negative correlation between ν _ac and metallicity from the 3D models. This is in tension with the positive correlation identified by studies using 1D models. Second, we estimated theoretical ${\nu }_{\max }$ values using velocity amplitudes determined from first principles, by quantifying the mode excitation and damping rates with methods validated in our previous works. We found that  ${\nu }_{\max }$ does not show correlation with metallicity at solar effective temperature and surface gravity. This study opens an exciting prospect of testing the asteroseismic scaling relations against realistic 3D hydrodynamical stellar models.
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spelling doaj.art-ac627437919942e29736bf1073a353c02024-02-13T13:05:36ZengIOP PublishingThe Astrophysical Journal1538-43572024-01-01962211810.3847/1538-4357/ad1834Does the Scaling Relation Depend on Metallicity? Insights from 3D Convection SimulationsYixiao Zhou0https://orcid.org/0000-0003-0817-6126Jørgen Christensen-Dalsgaard1https://orcid.org/0000-0001-5137-0966Martin Asplund2Yaguang Li3https://orcid.org/0000-0003-3020-4437Regner Trampedach4https://orcid.org/0000-0003-0866-6141Yuan-Sen Ting5https://orcid.org/0000-0001-5082-9536Jakob L. Rørsted6Stellar Astrophysics Centre, Department of Physics and Astronomy, Aarhus University , Ny Munkegade 120, DK-8000 Aarhus C, Denmark ; yixiao.zhou@qq.comStellar Astrophysics Centre, Department of Physics and Astronomy, Aarhus University , Ny Munkegade 120, DK-8000 Aarhus C, Denmark ; yixiao.zhou@qq.comAustralian Academy of Science , Box 783, Canberra, ACT 2601, AustraliaInstitute for Astronomy, University of Hawaii , 2680 Woodlawn Drive, Honolulu, HI 96822, USASpace Science Institute , 4765 Walnut Street, Boulder, CO 80301, USAResearch School of Astronomy and Astrophysics, Australian National University , Canberra, ACT 2611, Australia; Research School of Computer Science, Australian National University , Acton ACT 2601, Australia; Department of Astronomy, The Ohio State University , Columbus, OH 43210, USAStellar Astrophysics Centre, Department of Physics and Astronomy, Aarhus University , Ny Munkegade 120, DK-8000 Aarhus C, Denmark ; yixiao.zhou@qq.com; Aarhus Space Centre (SpaCe), Department of Physics and Astronomy, Aarhus University , DenmarkSolar-like oscillations have been detected in thousands of stars thanks to modern space missions. These oscillations have been used to measure stellar masses and ages, which have been widely applied in Galactic archeology. One of the pillars of such applications is the ${\nu }_{\max }$ scaling relation: the frequency of maximum power ${\nu }_{\max }$ , assumed to be proportional to the acoustic cutoff frequency, ν _ac , scales with effective temperature and surface gravity. However, the theoretical basis of the ${\nu }_{\max }$ scaling relation is uncertain, and there is an ongoing debate about whether it can be applied to metal-poor stars. We investigate the metallicity dependence of the ${\nu }_{\max }$ scaling relation by carrying out 3D near-surface convection simulations for solar-type stars with [Fe/H] between −3 and 0.5 dex. First, we found a negative correlation between ν _ac and metallicity from the 3D models. This is in tension with the positive correlation identified by studies using 1D models. Second, we estimated theoretical ${\nu }_{\max }$ values using velocity amplitudes determined from first principles, by quantifying the mode excitation and damping rates with methods validated in our previous works. We found that  ${\nu }_{\max }$ does not show correlation with metallicity at solar effective temperature and surface gravity. This study opens an exciting prospect of testing the asteroseismic scaling relations against realistic 3D hydrodynamical stellar models.https://doi.org/10.3847/1538-4357/ad1834Stellar oscillationsPulsation modesRadiative magnetohydrodynamicsStellar convection envelopesStellar atmospheres
spellingShingle Yixiao Zhou
Jørgen Christensen-Dalsgaard
Martin Asplund
Yaguang Li
Regner Trampedach
Yuan-Sen Ting
Jakob L. Rørsted
Does the Scaling Relation Depend on Metallicity? Insights from 3D Convection Simulations
The Astrophysical Journal
Stellar oscillations
Pulsation modes
Radiative magnetohydrodynamics
Stellar convection envelopes
Stellar atmospheres
title Does the Scaling Relation Depend on Metallicity? Insights from 3D Convection Simulations
title_full Does the Scaling Relation Depend on Metallicity? Insights from 3D Convection Simulations
title_fullStr Does the Scaling Relation Depend on Metallicity? Insights from 3D Convection Simulations
title_full_unstemmed Does the Scaling Relation Depend on Metallicity? Insights from 3D Convection Simulations
title_short Does the Scaling Relation Depend on Metallicity? Insights from 3D Convection Simulations
title_sort does the scaling relation depend on metallicity insights from 3d convection simulations
topic Stellar oscillations
Pulsation modes
Radiative magnetohydrodynamics
Stellar convection envelopes
Stellar atmospheres
url https://doi.org/10.3847/1538-4357/ad1834
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