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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