CALIBRATION OF THE MIXINGLENGTH THEORY FOR CONVECTIVE WHITE DWARF ENVELOPES
Abstract
A calibration of the mixinglength parameter in the local mixinglength theory (MLT) is presented for the lower part of the convection zone in purehydrogenatmosphere white dwarfs. The parameterization is performed from a comparison of threedimensional (3D) CO5BOLD simulations with a grid of onedimensional (1D) envelopes with a varying mixinglength parameter. In many instances, the 3D simulations are restricted to the upper part of the convection zone. The hydrodynamical calculations suggest, in those cases, that the entropy of the upflows does not change significantly from the bottom of the convection zone to regions immediately below the photosphere. We rely on this asymptotic entropy value, characteristic of the deep and adiabatically stratified layers, to calibrate 1D envelopes. The calibration encompasses the convective hydrogenline (DA) white dwarfs in the effective temperature range 6000 ≤ T {sub eff} (K) ≤15, 000 and the surface gravity range 7.0 ≤ log g ≤ 9.0. It is established that the local MLT is unable to reproduce simultaneously the thermodynamical, flux, and dynamical properties of the 3D simulations. We therefore propose three different parameterizations for these quantities. The resulting calibration can be applied to structure and envelope calculations, in particular for pulsation, chemical diffusion, and convective mixing studies.more »
 Authors:
 Space Telescope Science Institute, 3700 San Martin Drive, Baltimore, MD 21218 (United States)
 Zentrum für Astronomie der Universität Heidelberg, Landessternwarte, Königstuhl 12, D69117 Heidelberg (Germany)
 Department of Physics and Astronomy at Uppsala University, Regementsvägen 1, Box 516, SE75120 Uppsala (Sweden)
 Département de Physique, Université de Montréal, C. P. 6128, Succursale CentreVille, Montréal, QC H3C 3J7 (Canada)
 LeibnizInstitut für Astrophysik Potsdam, An der Sternwarte 16, D14482 Potsdam (Germany)
 Publication Date:
 OSTI Identifier:
 22364378
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Astrophysical Journal; Journal Volume: 799; Journal Issue: 2; Other Information: Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ASYMPTOTIC SOLUTIONS; CALIBRATION; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; CONVECTION; DIFFUSION; ENTROPY; GRAVITATION; HYDRODYNAMICS; HYDROGEN; PHOTOSPHERE; PULSATIONS; STAR EVOLUTION; THREEDIMENSIONAL CALCULATIONS; WHITE DWARF STARS
Citation Formats
Tremblay, P.E., Ludwig, H.G., Freytag, B., Fontaine, G., Brassard, P., and Steffen, M., Email: tremblay@stsci.edu. CALIBRATION OF THE MIXINGLENGTH THEORY FOR CONVECTIVE WHITE DWARF ENVELOPES. United States: N. p., 2015.
Web. doi:10.1088/0004637X/799/2/142.
Tremblay, P.E., Ludwig, H.G., Freytag, B., Fontaine, G., Brassard, P., & Steffen, M., Email: tremblay@stsci.edu. CALIBRATION OF THE MIXINGLENGTH THEORY FOR CONVECTIVE WHITE DWARF ENVELOPES. United States. doi:10.1088/0004637X/799/2/142.
Tremblay, P.E., Ludwig, H.G., Freytag, B., Fontaine, G., Brassard, P., and Steffen, M., Email: tremblay@stsci.edu. 2015.
"CALIBRATION OF THE MIXINGLENGTH THEORY FOR CONVECTIVE WHITE DWARF ENVELOPES". United States.
doi:10.1088/0004637X/799/2/142.
@article{osti_22364378,
title = {CALIBRATION OF THE MIXINGLENGTH THEORY FOR CONVECTIVE WHITE DWARF ENVELOPES},
author = {Tremblay, P.E. and Ludwig, H.G. and Freytag, B. and Fontaine, G. and Brassard, P. and Steffen, M., Email: tremblay@stsci.edu},
abstractNote = {A calibration of the mixinglength parameter in the local mixinglength theory (MLT) is presented for the lower part of the convection zone in purehydrogenatmosphere white dwarfs. The parameterization is performed from a comparison of threedimensional (3D) CO5BOLD simulations with a grid of onedimensional (1D) envelopes with a varying mixinglength parameter. In many instances, the 3D simulations are restricted to the upper part of the convection zone. The hydrodynamical calculations suggest, in those cases, that the entropy of the upflows does not change significantly from the bottom of the convection zone to regions immediately below the photosphere. We rely on this asymptotic entropy value, characteristic of the deep and adiabatically stratified layers, to calibrate 1D envelopes. The calibration encompasses the convective hydrogenline (DA) white dwarfs in the effective temperature range 6000 ≤ T {sub eff} (K) ≤15, 000 and the surface gravity range 7.0 ≤ log g ≤ 9.0. It is established that the local MLT is unable to reproduce simultaneously the thermodynamical, flux, and dynamical properties of the 3D simulations. We therefore propose three different parameterizations for these quantities. The resulting calibration can be applied to structure and envelope calculations, in particular for pulsation, chemical diffusion, and convective mixing studies. On the other hand, convection has no effect on the white dwarf cooling rates until there is a convective coupling with the degenerate core below T {sub eff} ∼ 5000 K. In this regime, the 1D structures are insensitive to the MLT parameterization and converge to the mean 3D results, hence they remain fully appropriate for age determinations.},
doi = {10.1088/0004637X/799/2/142},
journal = {Astrophysical Journal},
number = 2,
volume = 799,
place = {United States},
year = 2015,
month = 2
}

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