Hydrodynamic planetary thermosphere model: 1. Response of the Earth's thermosphere to extreme solar EUV conditions and the significance of adiabatic cooling
Abstract
It has been suggested that the exobase temperature of early terrestrial planetary atmosphere could have reached over 10,000 K. Although such high exobase temperatures should have caused the major gases at the exobase to experience fast Jeans escape, and the entire thermosphere should have experienced hydrodynamic flow, hydrostatic equilibrium was assumed to be valid in this earlier model. In this paper we develop a multicomponent hydrodynamic thermosphere model to self‐consistently study the Earth's thermosphere under extreme solar EUV conditions. The model is validated against observations and other models for the present Earth's thermosphere. Simulations show that if forced in hydrostatic equilibrium and maintaining the current composition, the Earth's thermosphere could experience a fast transition to an atmospheric blowoff state when exposed to solar EUV radiation stronger than certain critical flux. When hydrodynamic flow and its associated adiabatic cooling are included, atmospheric blowoff is prevented and Earth's exobase temperature decreases with increasing solar EUV beyond the critical solar EUV flux. Simulations show that the transition of the thermosphere from the hydrostatic equilibrium regime to the hydrodynamic regime occurs when the exobase temperature reaches 7000 to 8000 K if atomic O and N dominate the upper thermosphere. The fast variations of the bulk motion velocities under different exobase temperatures suggest that the adiabatic cooling effect could have kept the exobase temperature lower than ∼1000 K if light gases such as atomic hydrogen were the dominant species in the Earth's thermosphere. We propose that hydrodynamic flow and associated adiabatic cooling should exist in the thermospheres of a broad range of early and/or close‐in terrestrial type planets and that the adiabatic cooling effect must be included in the energy balance in order to correctly estimate their thermospheric structures and their evolutionary paths.
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At higher levels of solar XUV radiation, the Earth's atmosphere is hotter and more expanded, leading to more rapid losses to space.
“At higher levels of solar XUV radiation, the Earth's atmosphere is hotter and more expanded (Tian et al. 2008; Tian et al. 2009; Kuramoto et al. 2013), leading to more rapid losses to space (Lammer et al. 2008; Lichtenegger et al. 2010; Lammer et al. 2018).”
From The young Sun's XUV-activity as a constraint for lower CO2-limits in the Earth's Archean atmosphere (2021) · cites this paper as Tian et al. 2008
For high XUV fluxes, the thermosphere can be heated to high temperatures and the upper atmosphere expands efficiently so that losses cause a large-scale outward flow, and adiabatic cooling counters the strong heating to some extent.
“For high XUV fluxes the thermosphere can be heated to high temperatures and the upper atmosphere starts to expand very efficiently so that losses at the exobase cause a large scale outward flow of material, and the resulting adiabatic cooling to some extent counters the strong heating (Tian et al. 2005; Tian et al. 2008; Murray-Clay et al. 2009).”
From The young Sun's XUV-activity as a constraint for lower CO2-limits in the Earth's Archean atmosphere (2021) · cites this paper as Tian et al. 2008
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Hydrodynamic escape of water vapor atmospheres near very active stars
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THE INFLUENCE OF THERMAL EVOLUTION IN THE MAGNETIC PROTECTION OF TERRESTRIAL PLANETS
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HAZMAT VI: The Evolution of Extreme Ultraviolet Radiation Emitted from Early M Stars
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Nakayama, A., Ikoma, M., & Terada, N. (2022) · The Astrophysical Journal · doi:10.3847/1538-4357/ac86ca · Cited by 58 · see citing works
Pathways to Earth-Like Atmospheres
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Is π Men c’s Atmosphere Hydrogen-dominated? Insights from a Non-detection of H i Lyα Absorption
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Comet-like tail-formation of exospheres of hot rocky exoplanets: Possible implications for CoRoT-7b
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Geophysical and Atmospheric Evolution of Habitable Planets
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Tian, F., Solomon, S. C., Qian, L., Lei, J., & Roble, R. G. (2008) · Journal of Geophysical Research Atmospheres · doi:10.1029/2007je003043 · Cited by 52 · see citing works
Peacock, S., Barman, T., Shkolnik, E. L., Hauschildt, P. H., Baron, E., & Fuhrmeister, B. (2019) · The Astrophysical Journal · doi:10.3847/1538-4357/ab4f6f · Cited by 52 · see citing works
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Developing a self‐consistent description of Titan's upper atmosphere without hydrodynamic escape
Bell, J. M., Waite, J. H., Westlake, J. H., Bougher, S. W., Ridley, A. J., Perryman, R. S., & Mandt, K. E. (2014) · Journal of Geophysical Research Space Physics · doi:10.1002/2014ja019781 · Cited by 48 · see citing works
Johnson, R. E., Volkov, A. N., & Erwin, J. T. (2013) · The Astrophysical Journal Letters · doi:10.1088/2041-8205/768/1/l4 · Cited by 48 · see citing works
The young Sun's XUV-activity as a constraint for lower CO2-limits in the Earth's Archean atmosphere
Johnstone, C. P., Lammer, H., Kislyakova, K. G., Scherf, M., & Güdel, M. (2021) · Earth and Planetary Science Letters · doi:10.1016/j.epsl.2021.117197 · Cited by 47 · see citing works
Feinstein, A. D., France, K. C., Youngblood, A. A., Duvvuri, G. M., Teal, D. J., Cauley, P. W., Seligman, D. Z., Gaidos, E. J., Kempton, E. M.-R., Bean, J. L., et al. (2022) · The Astronomical Journal · doi:10.3847/1538-3881/ac8107 · Cited by 46 · see citing works
CONSTRAINING THE RADIATION AND PLASMA ENVIRONMENT OF THE KEPLER CIRCUMBINARY HABITABLE-ZONE PLANETS
Zuluaga, J. I., Mason, P. A., & Cuartas-Restrepo, P. A. (2016) · The Astrophysical Journal · doi:10.3847/0004-637x/818/2/160 · Cited by 41 · see citing works
Thermal escape from extrasolar giant planets
Koskinen, T., Lavvas, P., Harris, M. J., & Yelle, R. V. (2014) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2013.0089 · Cited by 38 · see citing works
Mission to Planet Earth: The First Two Billion Years
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Hydrodynamic escape of mineral atmosphere from hot rocky exoplanet. I. Model description
Itō, Y., & Ikoma, M. (2020) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staa3962 · Cited by 35 · see citing works
Bell, J. M., Bougher, S. W., Waite, J. H., Ridley, A. J., Magee, B. A., Mandt, K. E., Westlake, J. H., DeJong, A. D., Haye, V. D. L., Bar‐Nun, A., et al. (2010) · Journal of Geophysical Research Atmospheres · doi:10.1029/2010je003638 · Cited by 34 · see citing works
Synergies Between Venus & Exoplanetary Observations
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The formation of the Galilean moons and Titan in the Grand Tack scenario
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Escape of rock-forming volatile elements and noble gases from planetary embryos
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Did Mars Possess a Dense Atmosphere During the First $\sim400$ Million Years?
Scherf, M., & Lammer, H. (2020) · Space Science Reviews · doi:10.1007/s11214-020-00779-3 · Cited by 31 · see citing works
The ultraviolet radiation environment in the habitable zones around low-mass exoplanet host stars
France, K. C., Linsky, J. L., & Loyd, R. O. P. (2014) · Astrophysics and Space Science · doi:10.1007/s10509-014-1947-2 · Cited by 31 · see citing works
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Abrevaya, X. C., Leitzinger, M., Oppezzo, O. J., Odert, P., Patel, M., Luna, G. J. M., Giacobone, A. F. F., & Hanslmeier, A. (2020) · Monthly Notices of the Royal Astronomical Society Letters · doi:10.1093/mnrasl/slaa037 · Cited by 28 · see citing works
Escape and evolution of Mars's CO2 atmosphere: Influence of suprathermal atoms
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Terrestrial ion escape and relevant circulation in space
Yamauchi, M. (2019) · Annales Geophysicae · doi:10.5194/angeo-37-1197-2019 · Cited by 28 · see citing works
Keeping M-Earths habitable in the face of atmospheric loss by sequestering water in the mantle
Moore, K., & Cowan, N. B. (2020) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staa1796 · Cited by 26 · see citing works
Lammer, H., Eybl, V., Kislyakova, K. G., Weingrill, J., Holmström, M., Khodachenko, M. L., Kulikov, Y. N., Reiners, A., Leitzinger, M., Odert, P., et al. (2011) · Astrophysics and Space Science · doi:10.1007/s10509-011-0646-5 · Cited by 27 · see citing works
What characterizes planetary space weather?
Lilensten, J., Coates, A. J., Dehant, V., de Wit, T. D., Horne, R. B., Leblanc, F., LUHMANN, J. G., Woodfield, E. E., & Barthélémy, M. (2014) · The Astronomy and Astrophysics Review · doi:10.1007/s00159-014-0079-6 · Cited by 27 · see citing works
Krauß, S., Fichtinger, B., Lammer, H., Hausleitner, W., Kulikov, Y. N., Ribas, I., Shematovich, V. I., Бисикало, Д. В., Lichtenegger, H., Zaqarashvili, T. V., et al. (2012) · Annales Geophysicae · doi:10.5194/angeo-30-1129-2012 · Cited by 23 · see citing works
Very high-density planets: a possible remnant of gas giants
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Evolution of the Earth's polar outflow from mid-Archean to present
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Hydrogen ENA-cloud observation and modeling as a tool to study star-exoplanet interaction
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The Cosmic Shoreline Revisited: A Metric for Atmospheric Retention Informed by Hydrodynamic Escape
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Clues on the importance of comets in the origin and evolution of the atmospheres of Titan and Earth
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Atmospheric nitrogen when life evolved on Earth
Gebauer, S., Grenfell, J. L., Lammer, H., de Vera, J.-P. P., Sproß, L., Airapetian, V. S., Sinnhuber, M., & Rauer, H. (2020) · Astrobiology · doi:10.1089/ast.2019.2212 · Cited by 17 · see citing works
Numerical quantification of the wind properties of cool main sequence stars
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Ranjan, S., Schwieterman, E. W., Leung, M., Harman, C. E., & Hu, R. (2023) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ad037c · Cited by 17 · see citing works
Lammer, H., Scherf, M., Itō, Y., Mura, A., Vorburger, A., Guenther, E. W., Wurz, P., Erkaev, N. V., & Odert, P. (2022) · Space Science Reviews · doi:10.1007/s11214-022-00876-5 · Cited by 16 · see citing works
Is hydrodynamic escape from Titan possible?
Schaufelberger, A., Wurz, P., Lammer, H., & Kulikov, Y. N. (2011) · Planetary and Space Science · doi:10.1016/j.pss.2011.03.011 · Cited by 16 · see citing works
Eta-Earth Revisited II: Deriving a Maximum Number of Earth-Like Habitats in the Galactic Disk
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Tavrov, A. V., Kameda, S., Yudaev, A., Dzyuban, I., Kiselev, A., Shashkova, I. A., Korablev, O., Sachkov, M. E., Nishikawa, J., Tamura, M., et al. (2018) · Journal of Astronomical Telescopes Instruments and Systems · doi:10.1117/1.jatis.4.4.044001 · Cited by 14 · see citing works
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Photochemical escape of oxygen from early Mars
Zhao, J., & Tian, F. (2015) · Icarus · doi:10.1016/j.icarus.2014.12.032 · Cited by 14 · see citing works
Atmospheric Escape and Climate Evolution of Terrestrial Planets
Tian, F., Chassefière, É., Leblanc, F., & Brain, D. A. (2013) · University of Arizona Press eBooks · doi:10.2458/azu_uapress_9780816530595-ch23 · Cited by 15 · see citing works
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The Science of Exoplanets and Their Systems
Lammer, H., Blanc, M., Benz, W., Fridlund, M., du Foresto, V. D., Güdel, M., Rauer, H., Udry, S., Bonnet, R., Falanga, M., et al. (2013) · Astrobiology · doi:10.1089/ast.2013.0997 · Cited by 11 · see citing works
The Kinetic Monte Carlo Model of the Auroral Electron Precipitation into N2-O2 Planetary Atmospheres
Бисикало, Д. В., Shematovich, V. I., & Hubert, B. (2022) · Universe · doi:10.3390/universe8080437 · Cited by 13 · see citing works
Magnetic Evidence for an Extended Hydrogen Exosphere at Mercury
Schmid, D., Lammer, H., Plaschke, F., Vorburger, A., Erkaev, N. V., Wurz, P., Narita, Y., Volwerk, M., Baumjohann, W., & Anderson, B. J. (2022) · Journal of Geophysical Research Planets · doi:10.1029/2022je007462 · Cited by 13 · see citing works
Venus’s atmospheric nitrogen explained by ancient plate tectonics
Weller, M. B., Evans, A. J., Ibarra, D. E., & Johnson, A. V. (2023) · Nature Astronomy · doi:10.1038/s41550-023-02102-w · Cited by 13 · see citing works
Conservation of total escape from hydrodynamic planetary atmospheres
Tian, F. (2013) · Earth and Planetary Science Letters · doi:10.1016/j.epsl.2013.08.008 · Cited by 13 · see citing works
H2-dominated Atmosphere as an Indicator of Second-generation Rocky White Dwarf Exoplanets
Lin, Z., Seager, S., Ranjan, S., Kozakis, T., & Kaltenegger, L. (2022) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ac4788 · Cited by 13 · see citing works
- Authors
- Tian, F., Kasting, J. F., Liu, H., & Roble, R. G.
- Affiliations
- NSF National Center for Atmospheric Research (US)
- Pennsylvania State University (US)
- High Altitude Observatory National Center for Atmospheric Research Boulder Colorado USA
- Venue
- Journal of Geophysical Research: Planets
- Publisher
- American Geophysical Union (AGU)
- Published
- 2008-05
- Volume
- 113
- Issue
- E5
- ISSN
- 0148-0227 (ISSN-L)
- OpenAlex
- W2067818744
- Cited by
- 153
- References
- 61
- Citations by year
- 2026: 8 · 2025: 4 · 2024: 5 · 2023: 8 · 2022: 11 · 2021: 2 · 2020: 16 · 2019: 5 · 2018: 4 · 2017: 7 · 2016: 8 · 2015: 12 · 2014: 11 · 2013: 14 · 2012: 7
- FWCI
- 5.63
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Geophysical Research Atmospheres (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Ionosphere and magnetosphere dynamics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astro and Planetary Science
- Keywords
- adiabatic cooling, solar EUV radiation, hydrostatic equilibrium, Jeans escape, close-in exoplanets, atomic hydrogen
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