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Solar Models with Dynamic Screening and Early Mass Loss Tested by Helioseismic, Astrophysical, and Planetary Constraints

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Abstract

The faint young Sun paradox remains an open question. Presented here is one possible solution to this apparent inconsistency, a more massive early Sun. Based on the conditions on early Earth and Mars, a luminosity constraint is set as a function of mass. We examine helioseismic constraints of these alternative mass-losing models. Additionally, we explore a dynamic electron screening correction in an effort to improve helioseismic agreement in the core of the early mass-losing model.

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References

  • Airapetian, V.S., Glocer, A., Gronoff, G., Hébrard, E., Danchi, W.: 2016, Prebiotic chemistry and atmospheric warming of early Earth by an active young Sun. Nat. Geosci. 9, 452. DOI . ADS .

    Article  ADS  Google Scholar 

  • Allen, C.W.: 1973, Astrophysical Quantities. ADS .

    Google Scholar 

  • Angulo, C., Arnould, M., Rayet, M., Descouvemont, P., Baye, D., Leclercq-Willain, C., Coc, A., Barhoumi, S., Aguer, P., Rolfs, C., Kunz, R., Hammer, J.W., Mayer, A., Paradellis, T., Kossionides, S., Chronidou, C., Spyrou, K., degl’Innocenti, S., Fiorentini, G., Ricci, B., Zavatarelli, S., Providencia, C., Wolters, H., Soares, J., Grama, C., Rahighi, J., Shotter, A., Lamehi Rachti, M.: 1999, A compilation of charged-particle induced thermonuclear reaction rates. Nucl. Phys. B 656, 3. DOI . ADS .

    Article  Google Scholar 

  • Asplund, M., Grevesse, N., Sauval, A.J.: 2005, The solar chemical composition. In: Barnes, T.G. III, Bash, F.N. (eds.) Cosmic Abundances as Records of Stellar Evolution and Nucleosynthesis, Astronomical Society of the Pacific Conference Series 336, 25. ADS .

    Google Scholar 

  • Asplund, M., Grevesse, N., Sauval, A.J., Scott, P.: 2009, The chemical composition of the Sun. Annu. Rev. Astron. Astrophys. 47, 481. DOI . ADS .

    Article  ADS  Google Scholar 

  • Basu, S., Antia, H.M.: 2004, Constraining solar abundances using helioseismology. Astrophys. J. Lett. 606, L85. DOI . ADS .

    Article  ADS  Google Scholar 

  • Bibring, J.-P., Langevin, Y., Mustard, J.F., Poulet, F., Arvidson, R., Gendrin, A., Gondet, B., Mangold, N., Pinet, P., Forget, F., OMEGA Team, Berthé, M., Gomez, C., Jouglet, D., Soufflot, A., Vincendon, M., Combes, M., Drossart, P., Encrenaz, T., Fouchet, T., Merchiorri, R., Belluci, G., Altieri, F., Formisano, V., Capaccioni, F., Cerroni, P., Coradini, A., Fonti, S., Korablev, O., Kottsov, V., Ignatiev, N., Moroz, V., Titov, D., Zasova, L., Loiseau, D., Pinet, P., Doute, S., Schmitt, B., Sotin, C., Hauber, E., Hoffmann, H., Jaumann, R., Keller, U., Arvidson, R., Duxbury, T., Neukum, G.: 2006, Global mineralogical and aqueous Mars history derived from OMEGA/Mars express data. Science 312, 400. DOI . ADS .

    Article  ADS  Google Scholar 

  • Boynton, W.V., Ming, D.W., Kounaves, S.P., Young, S.M.M., Arvidson, R.E., Hecht, M.H., Hoffman, J., Niles, P.B., Hamara, D.K., Quinn, R.C., Smith, P.H., Sutter, B., Catling, D.C., Morris, R.V.: 2009, Evidence for calcium carbonate at the mars phoenix landing site. Science 325(5936), 61. DOI .

    Article  ADS  Google Scholar 

  • Bristow, T.F., Haberle, R.M., Blake, D.F., Des Marais, D.J., Eigenbrode, J.L., Fairén, A.G., Grotzinger, J.P., Stack, K.M., Mischna, M.A., Rampe, E.B., Siebach, K.L., Sutter, B., Vaniman, D.T., Vasavada, A.R.: 2017, Low Hesperian PCO2 constrained from in situ mineralogical analysis at Gale Crater, Mars. Proc. Natl. Acad. Sci. USA 114, 2166. DOI . ADS .

    Article  ADS  Google Scholar 

  • Caffe, M.W., Hohenberg, C.M., Swindle, T.D., Goswami, J.N.: 1987, Evidence in meteorites for an active early sun. Astrophys. J. Lett. 313, L31. DOI . ADS .

    Article  ADS  Google Scholar 

  • Carr, M.H.: 1996, Water on Mars, Oxford Univ. Press, New York. ADS .

    Google Scholar 

  • Chaplin, W.J., Serenelli, A.M., Basu, S., Elsworth, Y., New, R., Verner, G.A.: 2007, Solar heavy-element abundance: Constraints from frequency separation ratios of low-degree p-modes. Astrophys. J. 670, 872. DOI . ADS .

    Article  ADS  Google Scholar 

  • Charnay, B., Le Hir, G., Fluteau, F., Forget, F., Catling, D.C.: 2017, A warm or a cold early Earth? New insights from a 3-D climate-carbon model. Earth Planet. Sci. Lett. 474, 97. DOI . ADS .

    Article  ADS  Google Scholar 

  • Cohen, E.R., Taylor, B.N.: 1988, The 1986 CODATA recommended values of the fundamental physical constants. J. Phys. Chem. Ref. Data 17, 1795. DOI . ADS .

    Article  ADS  Google Scholar 

  • Cox, A.N., Guzik, J.A., Kidman, R.B.: 1989, Oscillations of solar models with internal element diffusion. Astrophys. J. 342, 1187. DOI . ADS .

    Article  ADS  Google Scholar 

  • Cranmer, S.R.: 2017, Mass-loss rates from coronal mass ejections: A predictive theoretical model for solar-type stars. Astrophys. J. 840, 114. DOI . ADS .

    Article  ADS  Google Scholar 

  • Ehlmann, B.L., Mustard, J.F., Murchie, S.L., Poulet, F., Bishop, J.L., Brown, A.J., Calvin, W.M., Clark, R.N., Des Marais, D.J., Milliken, R.E., Roach, L.H., Roush, T.L., Swayze, G.A., Wray, J.J.: 2008, Orbital identification of carbonate-bearing rocks on Mars. Science 322, 1828. DOI . ADS .

    Article  ADS  Google Scholar 

  • Ehlmann, B.L., Mustard, J.F., Murchie, S.L., Bibring, J.-P., Meunier, A., Fraeman, A.A., Langevin, Y.: 2011, Subsurface water and clay mineral formation during the early history of Mars. Nature 479, 53. DOI . ADS .

    Article  ADS  Google Scholar 

  • Feldman, W.C., Asbridge, J.R., Bame, S.J., Gosling, J.T.: 1977, Plasma and magnetic fields from the Sun. In: White, O.R. (ed.) The Solar Output and Its Variation, 351, Colorado Assoc. Univ. Press, Boulder. ADS .

    Google Scholar 

  • Ferguson, J.W., Alexander, D.R., Allard, F., Barman, T., Bodnarik, J.G., Hauschildt, P.H., Heffner-Wong, A., Tamanai, A.: 2005, Low-temperature opacities. Astrophys. J. 623, 585. DOI . ADS .

    Article  ADS  Google Scholar 

  • Fichtinger, B., Güdel, M., Mutel, R.L., Hallinan, G., Gaidos, E., Skinner, S.L., Lynch, C., Gayley, K.G.: 2017, Radio emission and mass loss rate limits of four young solar-type stars. Astron. Astrophys. 599, A127. DOI . ADS .

    Article  ADS  Google Scholar 

  • Forget, F., Wordsworth, R., Millour, E., Madeleine, J.-B., Kerber, L., Leconte, J., Marcq, E., Haberle, R.M.: 2013, 3D modelling of the early martian climate under a denser CO2 atmosphere: Temperatures and CO2 ice clouds. Icarus 222, 81. DOI . ADS .

    Article  ADS  Google Scholar 

  • Formicola, A., Imbriani, G., Costantini, H., Angulo, C., Bemmerer, D., Bonetti, R., Broggini, C., Corvisiero, P., Cruz, J., Descouvemont, P., Fülöp, Z., Gervino, G., Guglielmetti, A., Gustavino, C., Gyürky, G., Jesus, A.P., Junker, M., Lemut, A., Menegazzo, R., Prati, P., Roca, V., Rolfs, C., Romano, M., Rossi Alvarez, C., Schümann, F., Somorjai, E., Straniero, O., Strieder, F., Terrasi, F., Trautvetter, H.P., Vomiero, A., Zavatarelli, S.: 2004, Astrophysical S-factor of 14N(p,\(\gamma\))15O. Phys. Lett. B 591, 61. DOI . ADS .

    Article  ADS  Google Scholar 

  • Fossat, E., Boumier, P., Corbard, T., Provost, J., Salabert, D., Schmider, F.X., Gabriel, A.H., Grec, G., Renaud, C., Robillot, J.M., Roca-Cortés, T., Turck-Chièze, S., Ulrich, R.K., Lazrek, M.: 2017, Asymptotic g-modes: Evidence for a rapid rotation of the solar core. Astron. Astrophys. 604, A40. DOI . ADS .

    Article  ADS  Google Scholar 

  • Gaidos, E.J., Güdel, M., Blake, G.A.: 2000, The Faint Young Sun Paradox: An observational test of an alternative solar model. Geophys. Res. Lett. 27, 501. DOI . ADS .

    Article  ADS  Google Scholar 

  • Gallet, F., Bouvier, J.: 2013, Improved angular momentum evolution model for solar-like stars. Astron. Astrophys. 556, A36. DOI . ADS .

    Article  ADS  Google Scholar 

  • García, R.A., Régulo, C., Turck-Chièze, S., Bertello, L., Kosovichev, A.G., Brun, A.S., Couvidat, S., Henney, C.J., Lazrek, M., Ulrich, R.K., Varadi, F.: 2001, Low-degree low-order solar p modes as seen by GOLF On board SOHO. Solar Phys. 200, 361. DOI . ADS .

    Article  ADS  Google Scholar 

  • Gendrin, A., Mangold, N., Bibring, J.-P., Langevin, Y., Gondet, B., Poulet, F., Bonello, G., Quantin, C., Mustard, J., Arvidson, R., Le Mouélic, S.: 2005, Sulfates in martian layered terrains: The OMEGA/Mars express view. Science 307, 1587. DOI . ADS .

    Article  ADS  Google Scholar 

  • Grevesse, N., Noels, A.: 1993, Cosmic abundances of the elements. In: Prantzos, N., Vangioni-Flam, E., Casse, M. (eds.) Origin and Evolution of the Elements, 15. ADS .

    Google Scholar 

  • Guenther, D.B., Demarque, P., Kim, Y.-C., Pinsonneault, M.H.: 1992, Standard solar model. Astrophys. J. 387, 372. DOI . ADS .

    Article  ADS  Google Scholar 

  • Guzik, J.A., Mussack, K.: 2010, Exploring mass loss, low-Z accretion, and convective overshoot in solar models to mitigate the solar abundance problem. Astrophys. J. 713, 1108. DOI . ADS .

    Article  ADS  Google Scholar 

  • Guzik, J.A., Swenson, F.J.: 1997, Seismological comparisons of solar models with element diffusion using the MHD, Opal, and Sireff equations of state. Astrophys. J. 491, 967. DOI . ADS .

    Article  ADS  Google Scholar 

  • Guzik, J.A., Watson, L.S., Cox, A.N.: 2005, Can enhanced diffusion improve helioseismic agreement for solar models with revised abundances? Astrophys. J. 627, 1049. DOI . ADS .

    Article  ADS  Google Scholar 

  • Guzik, J.A., Willson, L.A., Brunish, W.M.: 1987, A comparison between mass-losing and standard solar models. Astrophys. J. 319, 957. DOI . ADS .

    Article  ADS  Google Scholar 

  • Iben, I. Jr.: 1963, A comparison between homogeneous stellar models and the observations. Astrophys. J. 138, 452. DOI . ADS .

    Article  ADS  Google Scholar 

  • Iben, I. Jr.: 1965a, Stellar evolution, I: The approach to the main sequence. Astrophys. J. 141, 993. DOI . ADS .

    Article  ADS  Google Scholar 

  • Iben, I. Jr.: 1965b, Stellar evolution, II: The evolution of a 3 Msun star from the main sequence through core helium burning. Astrophys. J. 142, 1447. DOI . ADS .

    Article  ADS  Google Scholar 

  • Iglesias, C.A., Rogers, F.J.: 1996, Updated opal opacities. Astrophys. J. 464, 943. DOI . ADS .

    Article  ADS  Google Scholar 

  • Kasting, J.F.: 1988, Runaway and moist greenhouse atmospheres and the evolution of Earth and Venus. Icarus 74, 472. DOI . ADS .

    Article  ADS  Google Scholar 

  • Kasting, J.F.: 1991, CO2 condensation and the climate of early Mars. Icarus 94, 1. DOI . ADS .

    Article  ADS  Google Scholar 

  • Kasting, J.F.: 2010, Early Earth: Faint young Sun redux. Nature 464, 687. DOI . ADS .

    Article  ADS  Google Scholar 

  • Kasting, J.F., Whitmire, D.P., Reynolds, R.T.: 1993, Habitable zones around main sequence stars. Icarus 101, 108. DOI . ADS .

    Article  ADS  Google Scholar 

  • Lanza, N.L., Wiens, R.C., Arvidson, R.E., Clark, B.C., Fischer, W.W., Gellert, R., Grotzinger, J.P., Hurowitz, J.A., McLennan, S.M., Morris, R.V., Rice, M.S., Bell, J.F., Berger, J.A., Blaney, D.L., Bridges, N.T., Calef, F., Campbell, J.L., Clegg, S.M., Cousin, A., Edgett, K.S., Fabre, C., Fisk, M.R., Forni, O., Frydenvang, J., Hardy, K.R., Hardgrove, C., Johnson, J.R., Lasue, J., Le Mouélic, S., Malin, M.C., Mangold, N., Martın-Torres, J., Maurice, S., McBride, M.J., Ming, D.W., Newsom, H.E., Ollila, A.M., Sautter, V., Schröder, S., Thompson, L.M., Treiman, A.H., VanBommel, S., Vaniman, D.T., Zorzano, M.-P.: 2016, Oxidation of manganese in an ancient aquifer, Kimberley formation, Gale crater, Mars. Geophys. Res. Lett. 43, 7398. DOI . ADS .

    Article  ADS  Google Scholar 

  • Malin, M.C., Edgett, K.S.: 2000, Evidence for recent groundwater seepage and surface runoff on Mars. Science 288, 2330. DOI . ADS .

    Article  ADS  Google Scholar 

  • Malin, M.C., Edgett, K.S.: 2003, Evidence for persistent flow and aqueous sedimentation on early Mars. Science 302, 1931. DOI . ADS .

    Article  ADS  Google Scholar 

  • Mao, D., Mussack, K., Däppen, W.: 2009, Dynamic screening in solar plasma. Astrophys. J. 701, 1204. DOI . ADS .

    Article  ADS  Google Scholar 

  • Minton, D.A., Malhotra, R.: 2007, Assessing the massive young sun hypothesis to solve the warm young earth puzzle. Astrophys. J. 660, 1700. DOI . ADS .

    Article  ADS  Google Scholar 

  • Mojzsis, S.J., Harrison, T.M., Pidgeon, R.T.: 2001, Oxygen-isotope evidence from ancient zircons for liquid water at the Earth’s surface 4,300 Myr ago. Nature 409, 178. ADS .

    Article  ADS  Google Scholar 

  • Morris, R.V., Ruff, S.W., Gellert, R., Ming, D.W., Arvidson, R.E., Clark, B.C., Golden, D.C., Siebach, K., Klingelhöfer, G., Schröder, C., Fleischer, I., Yen, A.S., Squyres, S.W.: 2010, Identification of carbonate-rich outcrops on Mars by the spirit rover. Science 329, 421. DOI . ADS .

    Article  ADS  Google Scholar 

  • Mussack, K., Däppen, W.: 2011, Dynamic screening correction for solar p–p reaction rates. Astrophys. J. 729, 96. DOI . ADS .

    Article  ADS  Google Scholar 

  • Osterloo, M.M., Hamilton, V.E., Bandfield, J.L., Glotch, T.D., Baldridge, A.M., Christensen, P.R., Tornabene, L.L., Anderson, F.S.: 2008, Chloride-bearing materials in the southern highlands of Mars. Science 319, 1651. DOI . ADS .

    Article  ADS  Google Scholar 

  • Pesnell, W.D.: 1990, Nonradial, nonadiabatic stellar pulsations. Astrophys. J. 363, 227. DOI . ADS .

    Article  ADS  Google Scholar 

  • Piau, L., Turck-Chièze, S.: 2002, Lithium depletion in pre-main-sequence solar-like stars. Astrophys. J. 566, 419. DOI . ADS .

    Article  ADS  Google Scholar 

  • Poulet, F., Bibring, J.-P., Mustard, J.F., Gendrin, A., Mangold, N., Langevin, Y., Arvidson, R.E., Gondet, B., Gomez, C.: 2005, Phyllosilicates on Mars and implications for early martian climate. Nature 438, 623. DOI . ADS .

    Article  ADS  Google Scholar 

  • Ribas, I.: 2010, The Sun and stars as the primary energy input in planetary atmospheres. In: Kosovichev, A.G., Andrei, A.H., Rozelot, J.-P. (eds.) Solar and Stellar Variability: Impact on Earth and Planets, IAU Symp. 264, 3. DOI . ADS .

    Google Scholar 

  • Sackmann, I.-J., Boothroyd, A.I.: 2003, Our Sun, V: A bright young sun consistent with helioseismology and warm temperatures on ancient Earth and Mars. Astrophys. J. 583, 1024. DOI . ADS .

    Article  ADS  Google Scholar 

  • Salpeter, E.E.: 1954, Electrons screening and thermonuclear reactions. Aust. J. Phys. 7, 373. DOI . ADS .

    Article  ADS  MATH  Google Scholar 

  • Schatzman, E.: 1962, A theory of the role of magnetic activity during star formation. Ann. Astrophys. 25, 18. ADS .

    ADS  Google Scholar 

  • Schou, J., Tomczyk, S.: 1996, m2 table. http://www.hao.ucar.edu/public/research/mlso/LowL/data.html .

  • Squyres, S.W., Grotzinger, J.P., Arvidson, R.E., Bell, J.F., Calvin, W., Christensen, P.R., Clark, B.C., Crisp, J.A., Farrand, W.H., Herkenhoff, K.E., Johnson, J.R., Klingelhöfer, G., Knoll, A.H., McLennan, S.M., McSween, H.Y., Morris, R.V., Rice, J.W., Rieder, R., Soderblom, L.A.: 2004, In situ evidence for an ancient aqueous environment at meridiani planum, Mars. Science 306, 1709. DOI . ADS .

    Article  ADS  Google Scholar 

  • Squyres, S.W., Arvidson, R.E., Ruff, S., Gellert, R., Morris, R.V., Ming, D.W., Crumpler, L., Farmer, J.D., Des Marais, D.J., Yen, A., McLennan, S.M., Calvin, W., Bell, J.F., Clark, B.C., Wang, A., McCoy, T.J., Schmidt, M.E., de Souza, P.A.: 2008, Detection of silica-rich deposits on Mars. Science 320, 1063. DOI . ADS .

    Article  ADS  Google Scholar 

  • Tomczyk, S., Streander, K., Card, G., Elmore, D., Hull, H., Cacciani, A.: 1995, An instrument to observe low-degree solar oscillations. Solar Phys. 159, 1. DOI . ADS .

    Article  ADS  Google Scholar 

  • Turbet, M., Forget, F., Head, J.W., Wordsworth, R.: 2017, 3D modelling of the climatic impact of outflow channel formation events on early Mars. Icarus 288, 10. DOI . ADS .

    Article  ADS  Google Scholar 

  • Turck-Chieze, S., Daeppen, W., Casse, M.: 1988, High mass loss in the young Sun. In: Rolfe, E.J. (ed.) Seismology of the Sun and sun-like stars, ESA Special Publication 286. ADS .

    Google Scholar 

  • Turck-Chièze, S., Piau, L., Couvidat, S.: 2011, The solar energetic balance revisited by young solar analogs, helioseismology, and neutrinos. Astrophys. J. Lett. 731, L29. DOI . ADS .

    Article  ADS  Google Scholar 

  • Turck-Chièze, S., Palacios, A., Marques, J.P., Nghiem, P.A.P.: 2010, Seismic and dynamical solar models, I: The impact of the solar rotation history on neutrinos and seismic indicators. Astrophys. J. 715, 1539. DOI . ADS .

    Article  ADS  Google Scholar 

  • Weber, E.J., Davis, L. Jr.: 1967, The angular momentum of the solar wind. Astrophys. J. 148, 217. DOI . ADS .

    Article  ADS  Google Scholar 

  • Weiss, A., Heners, N.: 2013, Low-mass stars: Open problems all along their evolution. Eur. Phys. J. Web Conf. 43, 01002. DOI . ADS .

    Article  Google Scholar 

  • Whitmire, D.P., Doyle, L.R., Reynolds, R.T., Matese, J.J.: 1995, A slightly more massive young Sun as an explanation for warm temperatures on early Mars. J. Geophys. Res. 100, 5457. DOI . ADS .

    Article  ADS  Google Scholar 

  • Willson, R.C., Hudson, H.S., Frohlich, C., Brusa, R.W.: 1986, Long-term downward trend in total solar irradiance. Science 234, 1114. DOI . ADS .

    Article  ADS  Google Scholar 

  • Wolff, S., Simon, T.: 1997, The angular momentum of main sequence stars and its relation to stellar activity. Publ. Astron. Soc. Pac. 109, 759. DOI . ADS .

    Article  ADS  Google Scholar 

  • Wood, B.E., Müller, H.-R., Zank, G.P., Linsky, J.L.: 2002, Measured mass-loss rates of solar-like stars as a function of age and activity. Astrophys. J. 574, 412. DOI . ADS .

    Article  ADS  Google Scholar 

  • Wood, B.E., Müller, H.-R., Zank, G.P., Linsky, J.L., Redfield, S.: 2005a, New mass-loss measurements from astrospheric Ly\(\alpha\) absorption. Astrophys. J. Lett. 628, L143. DOI . ADS .

    Article  ADS  Google Scholar 

  • Wood, B.E., Redfield, S., Linsky, J.L., Müller, H.-R., Zank, G.P.: 2005b, Stellar Ly\(\alpha\) emission lines in the Hubble space telescope archive: Intrinsic line fluxes and absorption from the heliosphere and astrospheres. Astrophys. J. Suppl. 159, 118. DOI . ADS .

    Article  ADS  Google Scholar 

  • Wordsworth, R.D.: 2016, The climate of early Mars. Annu. Rev. Earth Planet. Sci. 44, 381. DOI . ADS .

    Article  ADS  Google Scholar 

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Acknowledgements

The authors thank Sylvaine Turck-Chièze for helpful discussions. The authors would also like to thank Jesper Schou and Steven Tomczyk for providing their data and their permission to list it in this publication. Los Alamos National Laboratory is operated by Los Alamos National Security, LLC for the National Nuclear Security Administration of the U.S. Department of Energy under Contract No. DE-AC52-06NA2539. S.R.W. would like to acknowledge Simon Bolding for his helpful discussions on python scripts.

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  1. Los Alamos National Laboratory, XTD-IDA, MS T-086, Los Alamos, NM, 87545, USA

    Suzannah R. Wood & Katie Mussack

  2. Los Alamos National Laboratory, XTD-NTA, MS T-082, Los Alamos, NM, 87545, USA

    Joyce A. Guzik

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Wood, S.R., Mussack, K. & Guzik, J.A. Solar Models with Dynamic Screening and Early Mass Loss Tested by Helioseismic, Astrophysical, and Planetary Constraints. Sol Phys 293, 111 (2018). https://doi.org/10.1007/s11207-018-1334-1

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