Improvements to stellar structure models, based on a grid of 3D convection simulations. II. Calibrating the mixing-length formulation
By R. Trampedach, Robert F. Stein, J. Christensen-Dalsgaard, Åke Nordlund, Martin Asplund. 2014
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ABSTRACT Weperformacalibrationofthemixinglengthofconvectioninstellarstructuremodelsagainstrealistic3Dradiation-coupledhydrodynamics(RHD)simulationsofconvectioninstellarsurfacelayers,determiningtheadiabatdeepinconvectivestellarenvelopes.The mixing-length parameter α is calibrated by matching averages of the3Dsimulationsto1Dstellarenvelopemodels,ensuringidenticalatomicphysicsinthetwocases.Thisisdoneforapreviouslypublishedgridofsolar-metallicityconvectionsimulations,coveringfrom4200Kto6900Konthemainsequence,and4300–5000Kforgiantswithlogg =2.2.Ourcalibrationresultsinanα varyingfrom1.6forthewarmestdwarf,whichisjustcoolenoughtoadmitaconvectiveenvelope,andupto2.05forthecoolestdwarfsinourgrid.Inbetweentheseisatriangularplateauofα ∼1.76.TheSunislocatedonthisplateauandhasseenlittlechangeduringitsevolutionsofar.Whenstarsascendthegiantbranch,theylargelydosoalongtracksofconstantα,withα decreasingwithincreasingmass.Key words: Stars:atmospheres–stars:evolution–convection 1 INTRODUCTIONDue to the lack of a better theory of convection in stars,the mixing-length theory (B¨ohm-Vitense 1958, MLT) hasbeen in use for more thanhalf a century.By far the largestpart of the solar convection zone is very close to adia-batic, and the stratification in the bulk of the convectionzone is therefore determined by the adiabatic gradient,∇
Subfields: Astronomy and Astrophysics
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In Astronomy and Astrophysics
Citations in the corpus
- The Updated BaSTI Stellar Evolution Models and Isochrones. I. Solar-scaled Calculations (2018, methodology): “…(1) As shown by Salaris & Cassisi (2015), model tracks computed with this T (τ) relation approximate well results obtained using the hydro-calibrated T (τ) relationships determined from the 3D radiation hydrodynamics calculations by Trampedach et al. (2014) for the solar chemical composition.”
- MESA ISOCHRONES AND STELLAR TRACKS (MIST). I. SOLAR-SCALED MODELS (2016, background): “…all masses, evolutionary phases, and abundances, there has been a recent effort to map out αMLT as a function of logg and Teff (Trampedach 2007; Trampedach et al. 2014) as well as metallicity (Magic et al. 2015) from full 3D radiative hydrodynamic calculations of convection in stellar…”
- Standing on the Shoulders of Dwarfs: the Kepler Asteroseismic LEGACY Sample. II. Radii, Masses, and Ages (2016, methodology): “…in the outer stellar layers without the need of free parameters, and can be used to calibrate the expected mixing-length parameter by matching a 1D envelope model to a suitable average of the 3D simulations (see Trampedach et al. 2014; Magic et al. 2015, for a description of the procedure).”
- Ages and fundamental properties of Kepler exoplanet host stars from asteroseismology (2015, methodology): “Similarly, these simulations predict variations in the efficiency of convection as a function of Teff and [Fe/H] (e.g., Trampedach et al. 2014; Magic, Weiss & Asplund 2014).”