COMMENTARY ON: GUSTAFSSON B., BELL R. A., ERIKSSON K., AND NORDLUND Å, 1975, A&A, 42, 407
The MARCS model atmosphere code's first publication
1 - Centre de Recherche Astrophysique de Lyon,
UMR 5574: CNRS, Université de Lyon,
École Normale Supérieure de Lyon,
46 allée d'Italie, 69364 Lyon Cedex 07, France
2 - Institut d'Astrophysique de Paris, UMR 7095: CNRS, Université Pierre et Marie Curie-Paris 6, 98bis boulevard Arago, 75014 Paris, France
The article ``A grid of model atmospheres for metal-deficient giant stars. I'' by Gustafsson et al. (1975) received a normalization citation rate as high as 916, i.e. one of the 40 most cited publications in A&A. As one of the founding authors of another model atmosphere code - Phoenix in 1994 (Hauschildt et al. 1999; Allard et al. 1994, online), and focusing on the modeling of cooler, lower mass objects such as brown dwarfs and planets - it is with, I hope, some impartiality and certainly great pleasure that I can describe the context of this article and its impact on the astrophysical community.
This publication was the very first presentation of the model atmosphere code MARCS, a tool that came to dominate in the understanding of observations and the determination of stellar parameters (temperature scales, abundances, etc.) for decades. This article describes in such great detail the underlying assumptions, the algorithm, its implementation, and the resulting model structures of varying stellar parameters that, in his review for the Symposium ``A Stellar Journey'' in Uppsala, June 2008 celebrating the 65th birthday of Bengt Gustafsson (Lambert 2008, online), David Lambert stated ``Construction of model atmospheres and the dependence of the atmospheres on various ingredients including line blanketing by metal and molecular (e.g. CO and CN) lines are so clearly described that I recommend the paper as essential reading for all users of model atmospheres and spectrum synthesis codes. This paper and its 2008 derivative (Gustafsson et al. 2008) bracket my recommended reading list of Uppsala publications for students.''
It describes the construction of a non-gray model atmosphere code in hydrostatic equilibrium, plane-parallel (PP) geometry, with convection included following the Henyey et al. (1965) formulation of the mixing length theory (MLT), and line opacities included in the form of an opacity distribution functions (ODF). Using this technique, models could be calculated with just a few hundred frequency points, and extensive grids for FGK stars could be calculated over a wider span of metallicity than could previously be achieved with similar non-gray models (Parsons 1969; Peytremann 1974a,1970; Alexander & Johnson 1972; Johnson 1974; Peytremann 1974b; Carbon & Gingerich 1969, online). The ODFs were constructed with a program called SSG, originally devised for synthetic color calculations by Bell (Bell 1971). The line list used by this program was based on laboratory wavelengths and oscillator strengths, as well as ``astrophysical oscillator strengths'' derived from the solar spectrum. The total list contained about 50 000 lines.
If this work had such a strong impact on the stellar astrophysics community, it is certainly because of the competence of the authors, their enthusiasm and sense of pragmatism in extracting the greatest potential from models, and their commitment to developing MARCS beyond assumptions and limitations whenever possible over the years, for example, by evolving from the ODF hypothesis to the more reliable opacity sampling (OS) method, to spherical geometry, to the account for departures from local thermodynamic equilibrium (LTE) and diffusion, to 3D hydrodynamical modeling. They motivated atomic and molecular physicists, via collaborations or by forming students and postdocs, in computing opacities of astrophysical interest. Today, modern simulations consider up to 85 million atomic and 1.2 billion molecular lines, using oscillator strengths derived by laboratory experiments in most cases. Many physical data are still missing, however, such as atomic collisional cross-sections for non-LTE applications (Barklem et al. 2008, online), e.g., the extrasolar planetary limbs (interactions with molecular hydrogen) observed in transits.
This development of MARCS was therefore also made possible by the parallel development of computational power that allows: i) computing of more complete and accurate opacities; ii) better accounting for these opacities in the model construction; iii) computing large model atmosphere grids spanning the range of stellar parameters and leading to more realistic interior and evolution models. The computation and calibration of color systems allowed the comparison of theory (e.g. isochrones) to observations in color-magnitude diagrams, a better understanding of the chemical evolution of the Galaxy (Edvardsson et al. 1993; Nordström et al. 2004, online), and the construction and improvement of galactic spectral synthesis simulations. The development of opacities and computational facilities allowed development of hydrodynamical models (Nordlund 1982), which are important in the determination of the velocity fields in these atmospheres and their impact on line broadening, the determination of abundances (Asplund et al. 2005), the determination of the mixing length (Ludwig et al. 2006), and finally the impact of dust cloud formation in late-type M dwarfs stars, brown dwarfs, and planets (Freytag et al. 2009).
With extrasolar planets found around low-mass stars, the space missions GAIA, and PLATO profiling, the MARCS stellar model atmospheres and stellar astrophysics in general have wind in their sail for several decades ahead.
- Alexander, D. R., & Johnson, H. R. 1972, ApJ, 176, 629 [NASA ADS] [CrossRef]
- Allard, F., Hauschildt, P. H., Miller, S., & Tennyson, J. 1994, ApJ, 426, L39 [NASA ADS] [CrossRef]
- Asplund, M., Grevesse, N., & Sauval, A. J. 2005, in Cosmic Abundances as Records of Stellar Evolution and Nucleosynthesis, ed. T. G. Barnes, III & F. N. Bash, ASP Conf. Ser., 336, 25 (In the text)
- Barklem, P. S., Korn, A. J., & Plez, B. 2008, Phys. Scr. T, 133, 011001 [NASA ADS] [CrossRef] (In the text)
- Bell, R. A. 1971, MNRAS, 154, 343 [NASA ADS] (In the text)
- Carbon, D. F., & Gingerich, O. 1969, in Theory and Observation of Normal Stellar Atmospheres, ed. O. Gingerich, 377
- Edvardsson, B., Andersen, J., Gustafsson, B., et al. 1993, A&A, 275, 101 [NASA ADS]
- Freytag, B., Allard, F., Ludwig, H.-G., et al. 2009, in AIP Conf. Ser., ed. E. Stempels, 1094, 489 (In the text)
- Gustafsson, B., Bell, R. A., Eriksson, K., & Nordlund, A. 1975, A&A, 42, 407 [NASA ADS] (In the text)
- Gustafsson, B., Edvardsson, B., Eriksson, K., et al. 2008, A&A, 486, 951 [NASA ADS] [CrossRef] [EDP Sciences] (In the text)
- Hauschildt, P. H., Allard, F., & Baron, E. 1999, ApJ, 512, 377 [NASA ADS] [CrossRef]
- Henyey, L., Vardya, M. S., & Bodenheimer, P. 1965, ApJ, 142, 841 [NASA ADS] [CrossRef] (In the text)
- Johnson, H. R. 1974, Model atmospheres for cool stars., ed. H. R. Johnson
- Lambert, D. L. 2008, Phys. Scr. T, 133, 014001 [NASA ADS] [CrossRef] (In the text)
- Ludwig, H.-G., Allard, F., & Hauschildt, P. H. 2006, A&A, 459, 599 [NASA ADS] [CrossRef] [EDP Sciences] (In the text)
- Nordlund, A. 1982, A&A, 107, 1 [NASA ADS] (In the text)
- Nordström, B., Mayor, M., Andersen, J., et al. 2004, A&A, 418, 989 [NASA ADS] [CrossRef] [EDP Sciences]
- Parsons, S. B. 1969, ApJS, 18, 127 [NASA ADS] [CrossRef]
- Peytremann, E. 1970, Modèles d'atmospheres stellaires et interprétation de mesures photométriques, ed. E. Peytremann
- Peytremann, E. 1974a, A&A, 33, 203 [NASA ADS]
- Peytremann, E. 1974b, A&AS, 18, 81 [NASA ADS]
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