REVIEW 2 major objections 2 minor 1 cited by
Coupled atmospHere Interior modeL Intercomparison (CHILI). I. Evolutionary Modelling -- Primordial Magma Oceans of Earth and Venus
T0 review · 2 major / 2 minor · reviewed 2026-06-25 · grok-4.3
Pith's one-line read Intercomparison of coupled models shows Earth's magma ocean solidifies in under 4 million years while Venus scenarios allow for up to 50 million years.
desk verdict CHILI's first paper shows Earth magma ocean models converge on short solidification times while Venus ones vary more with initial volatiles, but the inter-model spread is large and not quantified in detail. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The CHILI intercomparison of multiple coupled atmosphere-interior codes, where differences in volatile partitioning, mantle geodynamics, convection, and radiative transfer produce the observed spread in solidification timescales and atmospheric outcomes.
What would settle it
New geological or geochemical evidence showing that Earth's magma ocean lasted substantially longer than 4 Myr or that Venus never sustained one beyond a few Myr would directly test the nominal model predictions.
Extended reading notes
Core claim
The paper establishes that when several coupled atmosphere-interior evolution codes are applied to identical Earth and Venus initial conditions, they produce short and consistent magma ocean lifetimes for Earth but longer and more divergent lifetimes for Venus, with cooling rates correlating to initial hydrogen and carbon inventories and generated atmospheres commonly exceeding 100 bar surface pressure in C-H-O compositions.
Load-bearing premise
The observed differences between models arise mainly from their distinct treatments of volatile partitioning, energy transport, and mantle properties rather than from any shared approximations or input choices common to all codes.
Editorial extensions
If this is right
- Earth's magma ocean phase ends rapidly and consistently across models within 4 Myr of thermal evolution.
- Venus can maintain prolonged magma ocean stages for up to 50 Myr under certain initial conditions and model assumptions.
- Cooling timescales scale with the initial budgets of hydrogen and carbon.
- Outgassed atmospheres from these stages tend to reach surface pressures above 100 bar with C-H-O compositions.
- Model variance is driven by choices in volatile partitioning, mantle viscosity, melting curves, and radiative transfer.
Reading between the lines
- Standardizing the identified sensitive treatments across codes could narrow uncertainty ranges when applying the same models to exoplanets.
- The reported sensitivities point to specific laboratory experiments on volatile solubility and mantle rheology that would most reduce model spread.
- These timescale differences could help explain the divergent water histories of Earth and Venus if linked to escape processes.
- Extending the intercomparison to other terrestrial planet scenarios would test whether the Earth-Venus contrast generalizes.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript presents the first results from the CHILI intercomparison project, in which multiple independent coupled atmosphere-interior evolution codes are benchmarked on the primordial magma-ocean solidification phase for Earth and Venus. Nominal Earth models are reported to solidify within 4 Myr and to be consistent with empirical constraints on early Earth; Venus models exhibit greater diversity, with some cases sustaining magma oceans for up to 50 Myr. Cooling timescales are stated to correlate with initial hydrogen and carbon budgets, while substantial inter-model variance is attributed to differences in volatile partitioning, vertical energy transport, mantle geodynamics, convection, melting curves, rheological properties, and radiative transfer. High-pressure (>100 bar) C-H-O atmospheres are favored across the ensemble.
Significance. If the reported ranges and attribution of variance hold, the work is significant because it systematically identifies key sensitivities in volatile handling, escape, and radiative transfer that affect interpretations of terrestrial-planet early histories and exoplanet observations. The participation of multiple independent modeling groups constitutes a clear methodological strength that lowers circularity risk relative to single-code studies.
major comments (2)
- [Abstract] Abstract: the central claims that Earth models solidify 'within 4 Myr' and are 'consistent with empirical constraints,' and that Venus models can sustain magma oceans for '50 Myr,' are presented without the individual model outputs, standard deviations, or quantitative error bars needed to assess robustness or the magnitude of inter-model spread.
- [Results/Discussion] Results/Discussion: the attribution of inter-model variance primarily to differences in volatile partitioning, vertical energy transport, mantle geodynamics, convection, melting curves, rheology, and radiative transfer is stated without quantitative sensitivity tests or isolation of these effects from possible shared approximations (e.g., common initial-condition choices or equation-of-state assumptions) across the participating codes.
minor comments (2)
- The term 'nominal' models is used repeatedly but never explicitly defined with respect to the exact parameter values or selection criteria applied by each group.
- The manuscript would benefit from a table or figure that tabulates the initial H and C budgets adopted by each participating code alongside the resulting solidification times.
Simulated Author's Rebuttal
We thank the referee for their constructive comments on our CHILI intercomparison manuscript. The points raised highlight opportunities to improve the clarity of our summary claims and the discussion of model differences. We address each major comment below and indicate planned revisions.
read point-by-point responses
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Referee: [Abstract] Abstract: the central claims that Earth models solidify 'within 4 Myr' and are 'consistent with empirical constraints,' and that Venus models can sustain magma oceans for '50 Myr,' are presented without the individual model outputs, standard deviations, or quantitative error bars needed to assess robustness or the magnitude of inter-model spread.
Authors: The abstract is intended as a concise summary of the primary outcomes from the ensemble of models. Individual model results, including the spread in solidification timescales, are presented in the results section with accompanying figures and tables. To better convey robustness, we will revise the abstract to explicitly note the range of outcomes across participating codes and the presence of inter-model variability. revision: yes
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Referee: [Results/Discussion] Results/Discussion: the attribution of inter-model variance primarily to differences in volatile partitioning, vertical energy transport, mantle geodynamics, convection, melting curves, rheology, and radiative transfer is stated without quantitative sensitivity tests or isolation of these effects from possible shared approximations (e.g., common initial-condition choices or equation-of-state assumptions) across the participating codes.
Authors: The variance attribution follows directly from the documented differences in physical treatments and parameterizations among the independent codes. This initial intercomparison phase did not include dedicated one-at-a-time sensitivity experiments to isolate every factor. We will add a dedicated paragraph in the discussion that explicitly lists shared assumptions (initial conditions, EOS choices) across the ensemble and flags the need for targeted sensitivity studies in future CHILI phases. revision: partial
Circularity Check
No significant circularity; results are simulation outputs from independent codes
full rationale
The paper reports outcomes of an intercomparison project (CHILI) involving multiple independent modeling groups running their own codes on Earth and Venus magma ocean scenarios. The central claims—Earth solidification within 4 Myr and Venus up to 50 Myr under some conditions—are direct simulation results from nominal runs, not a derivation that reduces to fitted parameters or self-defined quantities within this manuscript. No equations, ansatzes, or uniqueness theorems are presented that could exhibit self-definitional, fitted-input, or self-citation circularity. The attribution of inter-model variance to differences in volatile partitioning, energy transport, and other treatments is consistent with the benchmarking purpose and does not rely on any load-bearing self-citation chain. The work is self-contained as a report of cross-code empirical outputs.
Assumptions & free parameters
free parameters (1)
- initial hydrogen and carbon budgets
assumptions (1)
- domain assumption Different parametrisations of mantle geodynamics, convection, melting curves, rheological properties, and radiative transfer are the primary sources of divergent evolutionary behaviours
Cite this review
Pith. "Pith review of Coupled atmospHere Interior modeL Intercomparison (CHILI). I. Evolutionary Modelling -- Primordial Magma Oceans of Earth and Venus." pith.science (2026). https://pith.science/paper/LHATTIPQ
@misc{pith2026260624757,
author = {Pith},
title = {Pith review of: Coupled atmospHere Interior modeL Intercomparison (CHILI). I. Evolutionary Modelling -- Primordial Magma Oceans of Earth and Venus},
year = {2026},
howpublished = {\url{https://pith.science/paper/LHATTIPQ}},
note = {Machine review of arXiv:2606.24757}
}
read the original abstract
Earth and Venus represent two evolutionary outcomes arising from initially molten 'magma ocean' periods, followed by lifetimes of chemical and geophysical divergence. Their physics is common to all rocky planets and is accessible to simulations that adopt coupled interior-atmosphere modelling approaches. Our understanding of planet histories and interpretation of current states is dependent on this modelling, yet existing codes vary in their approximations. Here, we present the first results from the Coupled atmospHere Interior modeL Intercomparison (CHILI) project; benchmarking planetary evolution codes in the context of Earth and Venus to identify key model sensitivities. Our 'nominal' Earth models predict magma ocean solidification timescales within 4 Myr of thermal evolution, and are consistent with empirical constraints on Earth's early history. Venus scenarios exhibit more diverse behaviours where prolonged magma ocean stages can be conditionally sustained for 50 Myr. Cooling timescales correlate with initial hydrogen and carbon budgets, but model-specific treatments of volatile partitioning and vertical energy transport introduce substantial inter-model variance. Different parametrisations of mantle geodynamics, convection, melting curves, rheological properties, and radiative transfer give rise to divergent evolutionary behaviours. Discrepancies in atmospheres generated by magma ocean outgassing underscore these differences, although C-H-O compositions with surface pressures exceeding 100 bar are favoured. This intercomparison identifies critical sensitivities in volatile partitioning, escape processes, mantle viscosity, and melting. Validating these treatments is essential for enabling deep insight into the early histories of the Solar System's terrestrial planets, and for drawing meaningful interpretations from ongoing observational exoplanet campaigns.
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Forward citations
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Works this paper leans on
-
[1]
Abe, Y. 1997, Phys. Earth Planet. Inter., 100, 27, 10.1016/S0031-9201(96)03229-3
-
[2]
1985, Journal of Geophysical Research: Solid Earth, 90, C545, 10.1029/JB090iS02p0C545
Abe, Y., & Matsui, T. 1985, Journal of Geophysical Research, 90, C545, 10.1029/jb090is02p0c545
-
[3]
Abel, M., & Frommhold, L. 2013, Canadian Journal of Physics, 91, 857, https://doi.org/10.1139/cjp-2012-0532
-
[4]
Agol , E., Dorn , C., Grimm , S. L., et al. 2021, , 2, 1, 10.3847/PSJ/abd022
-
[5]
PALEOS: Multiphase equations of state and mass-radius relations for exoplanet interiors
Attia, M., Lichtenberg, T., Jungov a \' a , E., & Sastre, M. 2026, arXiv, 10.48550/arXiv.2605.03741
work page Pith review arXiv doi:10.48550/arxiv.2605.03741 2026
-
[6]
2005, Nature, 436, 1127, doi: 10.1038/nature03882
Baker, J., Bizzarro, M., Wittig, N., Connelly, J., & Haack, H. 2005, Nature, 436, 1127, 10.1038/nature03882
-
[7]
Baraffe, I., Homeier, D., Allard, F., & Chabrier, G. 2015, Astronomy & Astrophysics, 577, A42, 10.1051/0004-6361/201425481
-
[8]
Barboni, M., Boehnke, P., Keller, B., et al. 2017, Sci. Adv., 3, 10.1126/sciadv.1602365
Show all 247 references
-
[9]
2017, Celest
Barnes, R. 2017, Celest. Mech. Dyn. Astr., 129, 509, 10.1007/s10569-017-9783-7
2017 doi
-
[10]
2021, Astrobiology, 21, 1325
Barth, P., Carone, L., Barnes, R., et al. 2021, Astrobiology, 21, 1325
2021
-
[11]
M., et al
Baumeister, P., Miozzi, F., Guimond, C. M., et al. 2025, Space Sci. Rev., 221, 123, 10.1007/s11214-025-01248-5
2025 doi
-
[12]
L., Raymond, S
Bean, J. L., Raymond, S. N., & Owen, J. E. 2021, J. Geophys. Res. Planets, 126, e2020JE006639, 10.1029/2020JE006639
2021 doi
-
[13]
A., Hirschmann, M
Bergin, E. A., Hirschmann, M. M., & Izidoro, A. 2026, Carbon from Interstellar Clouds to Habitable Worlds , arXiv, 10.48550/arXiv.2602.10308
2026 doi
-
[14]
Bezanson, J., Edelman, A., Karpinski, S., & Shah, V. B. 2017, SIAM R eview, 59, 65, 10.1137/141000671
2017 doi
-
[15]
E., Gaffney, A
Borg, L. E., Gaffney, A. M., & Shearer, C. K. 2014, Meteorit. Planet. Sci., 50, 715, 10.1111/maps.12373
2014 doi
-
[16]
Bottinga, Y., & Weill, D. F. 1972, American Journal of Science, 272, 438, 10.2475/ajs.272.5.438
1972 doi
-
[17]
M., & Parman, S
Boukar e \' e , C.-E., Parmentier, E. M., & Parman, S. W. 2018, Earth Planet. Sci. Lett., 491, 216, 10.1016/j.epsl.2018.03.037
2018 doi
-
[18]
2025, Nature, 640, 114, 10.1038/s41586-025-08701-z
Boukar e \' e , C.- E \' E ., Badro, J., & Samuel, H. 2025, Nature, 640, 114, 10.1038/s41586-025-08701-z
2025 doi
-
[19]
J., Hakim, K., Sossi, P
Bower, D. J., Hakim, K., Sossi, P. A., & Sanan, P. 2022, Planet. Sci. J., 3, 93, 10.3847/PSJ/ac5fb1
2022 doi
-
[20]
J., Sanan, P., & Wolf, A
Bower, D. J., Sanan, P., & Wolf, A. S. 2018, Physics of the Earth and Planetary Interiors, 274, 49, 10.1016/j.pepi.2017.11.004
2018 doi
-
[21]
J., Thompson , M
Bower , D. J., Thompson , M. A., Hakim , K., Tian , M., & Sossi , P. A. 2025, , 995, 59, 10.3847/1538-4357/ae1479
2025 doi
-
[22]
Box, G. E. P. 1976, Journal of the American Statistical Association, 71, 791, 10.1080/01621459.1976.10480949
1976 doi
-
[23]
A., Bagenal, F., Ma, Y.-J., Nilsson, H., & Wieser, G
Brain, D. A., Bagenal, F., Ma, Y.-J., Nilsson, H., & Wieser, G. S. 2016, J. Geophys. Res. Planets, 121, 2364, 10.1002/2016JE005162
2016 doi
-
[24]
K., Ghail , R
Byrne , P. K., Ghail , R. C., S eng \"o r , A. M. C., et al. 2021, Proceedings of the National Academy of Science, 118, e2025919118, 10.1073/pnas.2025919118
2021 doi
-
[25]
Cameron, A. G. W., & Ward, W. R. 1976, Lunar and Planetary Science Conference, 7, 120. https://ui.adsabs.harvard.edu/abs/1976LPI.....7..120C/abstract
1976
- [26]
-
[27]
2025, , 693, A303, 10.1051/0004-6361/202450307
Carone , L., Barnes , R., Noack , L., et al. 2025, , 693, A303, 10.1051/0004-6361/202450307
2025 doi
-
[28]
J., Valley, J
Cavosie, A. J., Valley, J. W., Wilde, S. A., & F., E. I. M. 2005, Earth Planet. Sci. Lett., 235, 663, 10.1016/j.epsl.2005.04.028
2005 doi
-
[29]
L., et al
Chaverot, G. L., et al. In prep., Planet. Sci. J
-
[30]
Chen, E. M. A., & Nimmo, F. 2016, Icarus, 275, 132, 10.1016/j.icarus.2016.04.012
2016 doi
-
[31]
J., et al
Cherubim, C., Wordsworth, R., Bower, D. J., et al. 2025, The Astrophysical Journal, 983, 97
2025
-
[32]
I., Perets, H
Citron, R. I., Perets, H. B., & Aharonson, O. 2018, Astrophys. J., 862, 5, 10.3847/1538-4357/aaca2d
2018 doi
-
[33]
Clark , W. C. 1982, Carbon Dioxide Review (New York: Oxford University Press), 469
1982
-
[34]
Cmiel , J., Wordsworth , R., & Seeley , J. T. 2025, , 6, 123, 10.3847/PSJ/adcd5f
2025 doi
-
[35]
2026, Mon
Constantinou, T., Shorttle, O., & Nicholls, H. 2026, Mon. Not. R. Astron. Soc., 548, stag823, 10.1093/mnras/stag823
2026 doi
-
[36]
Constantinou, T., Shorttle, O., & Rimmer, P. B. 2025, Nat. Astron., 9, 189, 10.1038/s41550-024-02414-5
2025 doi
-
[37]
2009, Geochem
Costa, A., Caricchi, L., & Bagdassarov, N. 2009, Geochem. Geophys. Geosyst., 10, 10.1029/2008GC002138
2009 doi
-
[38]
Cronin, T. W. 2014, J. Atmos. Sci., 71, 2994, 10.1175/JAS-D-13-0392.1
2014 doi
-
[39]
Dalrymple, G. B. 2001, Geological Society, London, Special Publications, 190, 205, 10.1144/GSL.SP.2001.190.01.14
2001 doi
- [40]
-
[41]
2017, Nature, 541, 521, 10.1038/nature20830
Dauphas, N. 2017, Nature, 541, 521, 10.1038/nature20830
2017 doi
-
[42]
2016, Nature, 532, 207, 10.1038/nature17169
Demory, B.-O., Gillon, M., de Wit, J., et al. 2016, Nature, 532, 207, 10.1038/nature17169
2016 doi
-
[43]
2023, in Astronomical Society of the Pacific Conference Series , Vol
Dr a \.z kowska, J., Bitsch, B., Lambrechts, M., et al. 2023, in Astronomical Society of the Pacific Conference Series , Vol. 534, Protostars and Planets VII , ed. S. Inutsuka, Y. Aikawa, T. Muto, K. Tomida, & M. Tamura, 717, 10.48550/arXiv.2203.09759
2023 doi
-
[44]
Drilleau, M., Samuel, H., Verhoeven, O., et al. 2026, J. Geophys. Res. Planets, 131, e2025JE009303, 10.1029/2025JE009303
2026 doi
-
[45]
Elkins-Tanton, L. T. 2008, Earth Planet. Sci. Lett., 271, 181, 10.1016/j.epsl.2008.03.062
2008 doi
-
[46]
2012, Annual review of Earth and Planetary Sciences, 40, 113, 10.1146/annurev-earth-042711-105503
---. 2012, Annual review of Earth and Planetary Sciences, 40, 113, 10.1146/annurev-earth-042711-105503
2012 doi
-
[47]
2022, Astron
Farhat, M., Auclair-Desrotour, P., Bou e \' e , G., & Laskar, J. 2022, Astron. Astrophys., 665, L1, 10.1051/0004-6361/202243445
2022 doi
-
[48]
2025, Astrophys
Farhat, M., Auclair-Desrotour, P., Bou e \' e , G., Lichtenberg, T., & Laskar, J. 2025, Astrophys. J., 979, 133, 10.3847/1538-4357/ad9b93
2025 doi
-
[49]
A., Campbell, A
Fischer, R. A., Campbell, A. J., Shofner, G. A., et al. 2011, Earth Planet. Sci. Lett., 304, 496, 10.1016/j.epsl.2011.02.025
2011 doi
-
[50]
Foley, B. J. 2015, Astrophys. J., 812, 36, 10.1088/0004-637X/812/1/36
2015 doi
-
[51]
F., Ahlers, J
Fromont, E. F., Ahlers, J. P., do Amaral, L. N. R., et al. 2024, Astrophys. J., 961, 115, 10.3847/1538-4357/ad0e0e
2024 doi
-
[52]
Frost, B. R. 1991, Chapter 1.INTRODUCTION TO OXYGEN FUGACITY AND ITS PETROLOGIC IMPORTANCE (Berlin, Boston: De Gruyter), 1--10, doi:10.1515/9781501508684-004
1991 doi
-
[53]
J., & McCammon, C
Frost, D. J., & McCammon, C. A. 2008, Annu. Rev. Earth Planet. Sci., 36, 389, 10.1146/annurev.earth.36.031207.124322
2008 doi
-
[54]
E., Meadows, V
Garcia, R., Barnes, R., Driscoll, P. E., Meadows, V. S., & Gialluca, M. 2026, Planet. Sci. J., 7, 120, 10.3847/PSJ/ae5248
2026 doi
-
[55]
B., Getty, S
Garvin, J. B., Getty, S. A., Arney, G. N., et al. 2022, Planet. Sci. J., 3, 117, 10.3847/PSJ/ac63c2
2022 doi
- [56]
-
[57]
C., Smrekar , S
Ghail , R. C., Smrekar , S. E., Widemann , T., et al. 2024, , 220, 36, 10.1007/s11214-024-01065-2
2024 doi
-
[58]
S., Hirschmann, M
Ghiorso, M. S., Hirschmann, M. M., Reiners, P. W., & Kress, V. C. 2002, Geochem. Geophys. Geosyst., 3, 1, 10.1029/2001GC000217
2002 doi
-
[59]
K., Driscoll, P
Gilbert-Janizek, S., Barnes, R. K., Driscoll, P. E., et al. 2026, arXiv, 10.48550/arXiv.2602.02267
2026 doi
-
[60]
Gillmann, C., & Tackley, P. 2014, J. Geophys. Res. Planets, 119, 1189, 10.1002/2013JE004505
2014 doi
-
[61]
J., Avice, G., et al
Gillmann, C., Way, M. J., Avice, G., et al. 2022, Space Sci. Rev., 218, 56, 10.1007/s11214-022-00924-0
2022 doi
-
[62]
2017, Space Sci
Gilmore, M., Treiman, A., Helbert, J., & Smrekar, S. 2017, Space Sci. Rev., 212, 1511, 10.1007/s11214-017-0370-8
2017 doi
-
[63]
Grinspoon, D. H. 1993, Nature, 363, 428, 10.1038/363428a0
1993 doi
-
[64]
A., Myers, D., & Emery, K
Gueymard, C. A., Myers, D., & Emery, K. 2002, Sol. Energy, 73, 443, 10.1016/S0038-092X(03)00005-7
2002 doi
-
[65]
G \"u lcher , A. J. P., Gerya , T. V., Mont \'e si , L. G. J., & Munch , J. 2020, Nature Geoscience, 13, 547, 10.1038/s41561-020-0606-110.31223/x5jk88
2020 doi
-
[66]
N., & Canup, R
Halliday, A. N., & Canup, R. M. 2023, Nat. Rev. Earth Environ., 4, 19, 10.1038/s43017-022-00370-0
2023 doi
-
[67]
2013, Nature, 497, 607, 10.1038/nature12163
Hamano, K., Abe, Y., & Genda, H. 2013, Nature, 497, 607, 10.1038/nature12163
2013 doi
-
[68]
J., Lourenco, D., & Westall, F
Hamano, K., Gillmann, C., Golabek, G. J., Lourenco, D., & Westall, F. 2025, in Treatise on Geochemistry (Third edition), third edition edn., ed. A. Anbar & D. Weis (Oxford: Elsevier), 541--574, https://doi.org/10.1016/B978-0-323-99762-1.00104-2
2025 doi
-
[69]
Hamano , K., Kawahara , H., Abe , Y., Onishi , M., & Hashimoto , G. L. 2015, , 806, 216, 10.1088/0004-637X/806/2/216
2015 doi
-
[70]
M., Lichtenberg, T., et al
Hammond, M., Guimond, C. M., Lichtenberg, T., et al. 2025, Astrophys. J. Lett., 978, L40, 10.3847/2041-8213/ada0bc
2025 doi
-
[71]
R., Millman, K
Harris, C. R., Millman, K. J., van der Walt, S. J., et al. 2020, Nature, 585, 357, 10.1038/s41586-020-2649-2
2020 doi
-
[72]
Hay, H. C. F. C., & Matsuyama, I. 2019, Astrophys. J., 875, 22, 10.3847/1538-4357/ab0c21
2019 doi
-
[73]
2019, Annu
Helling, C. 2019, Annu. Rev. Earth Planet. Sci., 47, 583, 10.1146/annurev-earth-053018-060401
2019 doi
-
[74]
Herath , M., Boukar \'e , C.- \'E ., & Cowan , N. B. 2024, , 535, 2404, 10.1093/mnras/stae2431
2024 doi
-
[75]
Hier-Majumder, S., & Hirschmann, M. M. 2017, Geochem. Geophys. Geosyst., 18, 3078, 10.1002/2017GC006937
2017 doi
-
[76]
2013, Annual Review of Earth and Planetary Sciences, 41, 657, 10.1146/annurev-earth-050212-124007
Hirose, K., Labrosse, S., & Hernlund, J. 2013, Annual Review of Earth and Planetary Sciences, 41, 657, 10.1146/annurev-earth-050212-124007
2013 doi
-
[77]
2022, Geochimica et Cosmochimica Acta, 328, 221
Hirschmann, M. 2022, Geochimica et Cosmochimica Acta, 328, 221
2022
-
[78]
Hirschmann, M. M. 2000, Geochem. Geophys. Geosyst., 1, 10.1029/2000GC000070
2000 doi
-
[79]
2012, Earth Planet
---. 2012, Earth Planet. Sci. Lett., 341-344, 48, 10.1016/j.epsl.2012.06.015
2012 doi
-
[80]
2025, arXiv, 10.48550/arXiv.2511.01231
Huang, D., & Dorn, C. 2025, arXiv, 10.48550/arXiv.2511.01231
2025 doi
-
[81]
L., Perkins, R
Huber, M. L., Perkins, R. A., Laesecke, A., et al. 2009, J. Phys. Chem. Ref. Data, 38, 101, 10.1063/1.3088050
2009 doi
-
[82]
M., Pepin, R
Hunten, D. M., Pepin, R. O., & Walker, J. C. G. 1987, Icarus, 69, 532, 10.1016/0019-1035(87)90022-4
1987 doi
-
[83]
Hunter, J. D. 2007, Computing in Science & Engineering, 9, 90, 10.1109/MCSE.2007.55
2007 doi
- [84]
-
[85]
Ingersoll, A. P. 1969, J. Atmos. Sci., 26, 1191, 10.1175/1520-0469(1969)026<1191:TRGAHO>2.0.CO;2
1969 doi
-
[86]
1998, Viscosity of water , Standard, International Organization for Standardization, Geneva, CH
ISO/TR\,3666 . 1998, Viscosity of water , Standard, International Organization for Standardization, Geneva, CH
1998
-
[87]
A., & Head, J
Ivanov, M. A., & Head, J. W. 2013, Planet. Space Sci., 84, 66, 10.1016/j.pss.2013.04.018
2013 doi
-
[88]
J., Miguel, Y., Min, M., et al
Janssen, L. J., Miguel, Y., Min, M., et al. 2026, arXiv, 10.48550/arXiv.2601.15927
2026 doi
-
[89]
Javoy, M. 2005, C. R. Geosci., 337, 139, 10.1016/j.crte.2004.10.005
2005 doi
-
[90]
P., Bartel, M., & G \"u del, M
Johnstone, C. P., Bartel, M., & G \"u del, M. 2021, Astronomy & Astrophysics, 649, A96
2021
-
[91]
2023, Galaxies, 11, 75, 10.3390/galaxies11030075
Joyce, M., & Tayar, J. 2023, Galaxies, 11, 75, 10.3390/galaxies11030075
2023 doi
-
[92]
F., Eggler, D
Kasting, J. F., Eggler, D. H., & Raeburn, S. P. 1993, J. Geol., 10.1086/648219
1993 doi
-
[93]
Katsura, T. 2022, J. Geophys. Res. Solid Earth, 127, e2021JB023562, 10.1029/2021JB023562
2022 doi
-
[94]
L., et al
Katyal, N., Ortenzi, G., Grenfell, J. L., et al. 2020, Astron. Astrophys., 643, A81, 10.1051/0004-6361/202038779
2020 doi
-
[95]
F., Spiegelman, M., & Langmuir, C
Katz, R. F., Spiegelman, M., & Langmuir, C. H. 2003, Geochem. Geophys. Geosyst., 4, 10.1029/2002GC000433
2003 doi
-
[96]
Kaula, W. M. 1999, Icarus, 139, 32, 10.1006/icar.1999.6082
1999 doi
-
[97]
A., Eke, V
Kegerreis, J. A., Eke, V. R., Catling, D. C., et al. 2020, The Astrophysical Journal Letters, 901, L31, 10.3847/2041-8213/abb5fb
2020 doi
-
[98]
Kent, A. J. R. 2008, Rev. Mineral. Geochem., 69, 273, 10.2138/rmg.2008.69.8
2008 doi
-
[99]
2012, Astronomy and Astrophysics Library
Kippenhahn, R., Weigert, A., & Weiss, A. 2012, Astronomy and Astrophysics Library
2012
-
[100]
Kitzmann, D., Patzer, A. B. C., von Paris, P., et al. 2010, Astron. Astrophys., 511, A66, 10.1051/0004-6361/200913491
2010 doi
-
[101]
W., & Patzer, A
Kitzmann, D., Stock, J. W., & Patzer, A. B. C. 2024, Monthly Notices of the Royal Astronomical Society, 527, 7263
2024
-
[102]
2013, Annu
Korenaga, J. 2013, Annu. Rev. Earth Planet. Sci., 41, 117, 10.1146/annurev-earth-050212-124208
2013 doi
-
[103]
2025, Icarus, 442, 116759, 10.1016/j.icarus.2025.116759
---. 2025, Icarus, 442, 116759, 10.1016/j.icarus.2025.116759
2025 doi
-
[104]
C., & Carmichael, I
Kress, V. C., & Carmichael, I. S. E. 1991, Contrib. Mineral. Petrol., 108, 82, 10.1007/BF00307328
1991 doi
-
[105]
2022, Chemical Habitability : Supply and Retention of Life 's Essential Elements During Planet Formation , arXiv, 10.48550/arXiv.2203.10056
Krijt, S., Kama, M., McClure, M., et al. 2022, Chemical Habitability : Supply and Retention of Life 's Essential Elements During Planet Formation , arXiv, 10.48550/arXiv.2203.10056
2022 doi
-
[106]
Krissansen-Totton, J., & Fortney, J. J. 2022, The Astrophysical Journal, 933, 115
2022
-
[107]
J., & Nimmo, F
Krissansen-Totton, J., Fortney, J. J., & Nimmo, F. 2021b, The Planetary Science Journal, 2, 216
-
[108]
J., Nimmo , F., & Wogan , N
Krissansen-Totton , J., Fortney , J. J., Nimmo , F., & Wogan , N. 2021a, AGU Advances, 2, e00294, 10.1029/2020AV000294
-
[109]
L., & Fortney, J
Krissansen-Totton, J., Thompson, M., Galloway, M. L., & Fortney, J. J. 2022, Nature Astronomy, 6, 189
2022
-
[110]
Krissansen-Totton, J., Wogan, N., Thompson, M., & Fortney, J. J. 2024, Nature Communications, 15, 8374, 10.1038/s41467-024-52642-6
2024 doi
-
[111]
W., & Hirose, K
Labrosse, S., Hernlund, J. W., & Hirose, K. 2015, in The Early Earth (Chichester, England, UK: John Wiley & Sons, Ltd.), 123--142, 10.1002/9781118860359.ch7
2015 doi
-
[112]
1997, Phys
Labrosse, S., Poirier, J.-P., & Le Mou e \" e l, J.-L. 1997, Phys. Earth Planet. Inter., 99, 1, 10.1016/S0031-9201(96)03207-4
1997 doi
-
[113]
2020, Space Sci
Lammer, H., Brasser, R., Johansen, A., Scherf, M., & Leitzinger, M. 2020, Space Sci. Rev., 217, 7, 10.1007/s11214-020-00778-4
2020 doi
-
[114]
H., Boukar e \' e , C.- E \' E ., Badro, J., & Samuel, H
Lark, L. H., Boukar e \' e , C.- E \' E ., Badro, J., & Samuel, H. 2026, Earth Planet. Sci. Lett., 680, 119880, 10.1016/j.epsl.2026.119880
2026 doi
-
[115]
2020, Nat
Laurent, O., Bj o \" o rnsen, J., Wotzlaw, J.-F., et al. 2020, Nat. Geosci., 13, 163, 10.1038/s41561-019-0520-6
2020 doi
-
[116]
Lay, T., Hernlund, J., & Buffett, B. A. 2008, Nat. Geosci., 1, 25, 10.1038/ngeo.2007.44
2008 doi
-
[117]
Lebrun, T., Massol, H., Chassefi\`ere, E., et al. 2013, J. Geophys. Res. Planets, 118, 1155, 10.1002/jgre.20068
2013 doi
-
[118]
2021, Astronomy & Astrophysics, 645, A20, 10.1051/0004-6361/202039040
Leconte, J. 2021, Astronomy & Astrophysics, 645, A20, 10.1051/0004-6361/202039040
2021 doi
-
[119]
2021, Astrophys
Lichtenberg, T. 2021, Astrophys. J. Lett., 914, L4, 10.3847/2041-8213/ac0146
2021 doi
-
[120]
J., Hammond , M., et al
Lichtenberg , T., Bower , D. J., Hammond , M., et al. 2021, Journal of Geophysical Research (Planets), 126, e06711, 10.1029/2020JE006711
2021 doi
-
[121]
J., Burn, R., et al
Lichtenberg, T., Golabek, G. J., Burn, R., et al. 2019, Nat. Astron., 3, 307, 10.1038/s41550-018-0688-5
2019 doi
-
[122]
2025, Treatise on Geochemistry, 7, 51, 10.1016/B978-0-323-99762-1.00122-4
Lichtenberg , T., & Miguel , Y. 2025, Treatise on Geochemistry, 7, 51, 10.1016/B978-0-323-99762-1.00122-4
2025 doi
-
[123]
2026, Planet
Lichtenberg, T., Schaefer, L., Krissansen-Totton, J., et al. 2026, Planet. Sci. J., 7, 108, 10.3847/PSJ/ae593b
2026 doi
-
[124]
K., Nakajima , M., & Fischer , R
Lichtenberg , T., Schaefer , L. K., Nakajima , M., & Fischer , R. A. 2023, in Astronomical Society of the Pacific Conference Series, Vol. 534, Protostars and Planets VII, ed. S. Inutsuka , Y. Aikawa , T. Muto , K. Tomida , & M. Tamura , 907, 10.48550/arXiv.2203.10023
2023 doi
-
[125]
Lichtenberg , T., Shorttle , O., Teske , J., & Kempton , E. M. R. 2025, Science, 390, eads3660, 10.1126/science.ads3360
2025 doi
-
[126]
J., & Stewart, S
Lock, S. J., & Stewart, S. T. 2024, The Planetary Science Journal, 5, 28, 10.3847/PSJ/ad0b16
2024 doi
-
[127]
1998, The Planetary Scientist ' s Companion (Oxford, England, UK: Oxford University Press), 10.1093/oso/9780195116946.001.0001
Lodders, K., & Fegley, B. 1998, The Planetary Scientist ' s Companion (Oxford, England, UK: Oxford University Press), 10.1093/oso/9780195116946.001.0001
1998 doi
-
[128]
G., Moran, S
Lodge, M. G., Moran, S. E., Wakeford, H. R., Leinhardt, Z. M., & Marley, M. S. 2026, Astrophys. J., 997, 317, 10.3847/1538-4357/ae2752
2026 doi
-
[129]
2015, Astrobiology, 15, 119
Luger, R., & Barnes, R. 2015, Astrobiology, 15, 119
2015
-
[130]
E., Zahnle , K., Marley , M
Lupu , R. E., Zahnle , K., Marley , M. S., et al. 2014, , 784, 27, 10.1088/0004-637X/784/1/27
2014 doi
-
[131]
M. S. Marley , & A. S. Ackerman . 2014, in Comparative Climatology of Terrestrial Planets (Tucson, AZ, USA: University of Arizona Press), 367--392. https://muse.jhu.edu/chapter/1207495
2014
- [132]
-
[133]
2023, Nat
Marchi, S., Rufu, R., & Korenaga, J. 2023, Nat. Astron., 7, 1180, 10.1038/s41550-023-02037-2
2023 doi
-
[134]
2017, Journal of Geophysical Research: Planets, 122, 1539, 10.1002/2016JE005224
Marcq, E., Salvador, A., Massol, H., & Davaille, A. 2017, Journal of Geophysical Research: Planets, 122, 1539, 10.1002/2016JE005224
2017 doi
-
[135]
2025, in Treatise on Geochemistry (Third edition), third edition edn., ed
Marty, B., & Genda, H. 2025, in Treatise on Geochemistry (Third edition), third edition edn., ed. A. Anbar & D. Weis (Oxford: Elsevier), 383--416, https://doi.org/10.1016/B978-0-323-99762-1.00106-6
2025 doi
-
[136]
2023, Planet
Maurice, M., Dasgupta, R., & Hassanzadeh, P. 2023, Planet. Sci. J., 4, 31, 10.3847/PSJ/acb2ca
2023 doi
-
[137]
Maurice, M., Tosi, N., Samuel, H., et al. 2017, J. Geophys. Res. Planets, 122, 577, 10.1002/2016JE005250
2017 doi
-
[138]
F., & Sun , S
McDonough , W. F., & Sun , S. s. 1995, Chemical Geology, 120, 223, 10.1016/0009-2541(94)00140-4
1995 doi
-
[139]
McKenzie, D. P. 1967, Geophys. J. Int., 14, 297, 10.1111/j.1365-246X.1967.tb06246.x
1967 doi
-
[140]
G., Guimond, C
Meier, T. G., Guimond, C. M., Pierrehumbert, R. T., et al. 2026, Mon. Not. R. Astron. Soc., 547, 10.1093/mnras/stag390
2026 doi
-
[141]
2019, Journal of Geophysical Research: Solid Earth, 124, 3382
Miyazaki, Y., & Korenaga, J. 2019, Journal of Geophysical Research: Solid Earth, 124, 3382
2019
-
[142]
J., Harrison , T
Mojzsis , S. J., Harrison , T. M., & Pidgeon , R. T. 2001, , 409, 178, 10.1038/35051557
2001 doi
-
[143]
P., van Boekel , R., et al
Molli \`e re , P., Wardenier , J. P., van Boekel , R., et al. 2019, , 627, A67, 10.1051/0004-6361/201935470
2019 doi
-
[144]
L., Asimow, P
Mosenfelder, J. L., Asimow, P. D., Frost, D. J., Rubie, D. C., & Ahrens, T. J. 2009, J. Geophys. Res. Solid Earth, 114, 10.1029/2008JB005900
2009 doi
-
[145]
J., W u \" u nnemann, K., et al
Nakajima, M., Golabek, G. J., W u \" u nnemann, K., et al. 2021, Earth Planet. Sci. Lett., 568, 116983, 10.1016/j.epsl.2021.116983
2021 doi
-
[146]
Nakajima, M., & Stevenson, D. J. 2015, Earth Planet. Sci. Lett., 427, 286, 10.1016/j.epsl.2015.06.023
2015 doi
-
[147]
Nakajima, S., Hayashi, Y.-Y., & Abe, Y. 1992, J. Atmos. Sci., 49, 2256, 10.1175/1520-0469(1992)049<2256:ASOTGE>2.0.CO;2
1992 doi
-
[148]
G., Cowan, N
Nguyen, T. G., Cowan, N. B., & Dang, L. 2024, The Astronomical Journal, 168, 287
2024
-
[149]
2026 a , CHILI (CUISINES) Part I - Evolution of Earth and Venus, simulation data and plotting utilities, Zenodo, 10.5281/zenodo.20680020
Nicholls, H. 2026 a , CHILI (CUISINES) Part I - Evolution of Earth and Venus, simulation data and plotting utilities, Zenodo, 10.5281/zenodo.20680020
2026 doi
-
[150]
2026 b , PhD thesis, University of Oxford, 10.5287/ora-bmz5xpbrk
---. 2026 b , PhD thesis, University of Oxford, 10.5287/ora-bmz5xpbrk
2026 doi
-
[151]
M., Hay, H
Nicholls, H., Guimond, C. M., Hay, H. C. F. C., et al. 2025 a , Monthly Notices of the Royal Astronomical Society, 541, 2566, 10.1093/mnras/staf1167
2025 doi
-
[152]
2023, Monthly Notices of the Royal Astronomical Society, 523, 5681, 10.1093/mnras/stad1734
Nicholls, H., Hébrard, E., Venot, O., Drummond, B., & Evans, E. 2023, Monthly Notices of the Royal Astronomical Society, 523, 5681, 10.1093/mnras/stad1734
2023 doi
-
[153]
J., & Pierrehumbert, R
Nicholls, H., Lichtenberg, T., Bower, D. J., & Pierrehumbert, R. 2024, Journal of Geophysical Research: Planets, 129, e2024JE008576, https://doi.org/10.1029/2024JE008576
2024 doi
-
[154]
D., et al
Nicholls, H., Lichtenberg, T., Chatterjee, R. D., et al. 2026 a , Nat. Astron., 1, 10.1038/s41550-026-02815-8
2026 doi
-
[155]
2025 b , Journal of Open Source Software, 10, 7726, 10.21105/joss.07726
Nicholls, H., Pierrehumbert, R., & Lichtenberg, T. 2025 b , Journal of Open Source Software, 10, 7726, 10.21105/joss.07726
2025 doi
-
[156]
T., Lichtenberg, T., Soucasse, L., & Smeets, S
Nicholls, H., Pierrehumbert, R. T., Lichtenberg, T., Soucasse, L., & Smeets, S. 2025 c , Monthly Notices of the Royal Astronomical Society, 536, 2957, 10.1093/mnras/stae2772
2025 doi
- [157]
-
[158]
2019, The Astrophysical Journal, 875, 24, 10.3847/1538-4357/ab08ed
Nikolaou, A., Katyal, N., Tosi, N., et al. 2019, The Astrophysical Journal, 875, 24, 10.3847/1538-4357/ab08ed
2019 doi
-
[159]
2024, Nature, 636, 598, 10.1038/s41586-024-08231-0
Nimmo, F., Kleine, T., & Morbidelli, A. 2024, Nature, 636, 598, 10.1038/s41586-024-08231-0
2024 doi
-
[160]
V., et al
Odert , P., Lammer , H., Erkaev , N. V., et al. 2018, , 307, 327, 10.1016/j.icarus.2017.10.031
2018 doi
-
[161]
M., & Lenardic, A
O'Neill, C., Jellinek, A. M., & Lenardic, A. 2007, Earth Planet. Sci. Lett., 261, 20, 10.1016/j.epsl.2007.05.038
2007 doi
-
[162]
O'Neill, H. St . C., & Eggins, S. M. 2002, Chem. Geol., 186, 151, 10.1016/S0009-2541(01)00414-4
2002 doi
-
[163]
W., Vazan, A., & Brouwers, M
Ormel, C. W., Vazan, A., & Brouwers, M. G. 2021, Astron. Astrophys., 647, A175, 10.1051/0004-6361/202039706
2021 doi
-
[164]
G., & Korenaga, J
O ' Rourke, J. G., & Korenaga, J. 2015, Icarus, 260, 128, 10.1016/j.icarus.2015.07.009
2015 doi
-
[165]
Owen, J. E. 2019, Annu. Rev. Earth Planet. Sci., 47, 67, 10.1146/annurev-earth-053018-060246
2019 doi
-
[166]
R., Wu, P., & Yuen, D
Peltier, W. R., Wu, P., & Yuen, D. A. 1981, in Anelasticity in the Earth (Chichester, England, UK: John Wiley & Sons, Ltd.), 59--77, 10.1029/GD004p0059
1981 doi
-
[167]
2024, , 976, 202, 10.3847/1538-4357/ad6f03
Peng , B., & Valencia , D. 2024, , 976, 202, 10.3847/1538-4357/ad6f03
2024 doi
-
[168]
o nb a \
Peslier, A. H., Sch o \" o nb a \" a chler, M., Busemann, H., & Karato, S.-I. 2017, Space Sci. Rev., 212, 743, 10.1007/s11214-017-0387-z
2017 doi
-
[169]
2003, Annu
Petford, N. 2003, Annu. Rev. Earth Planet. Sci., 31, 399, 10.1146/annurev.earth.31.100901.141352
2003 doi
-
[170]
Pierrehumbert, R. T. 2002, Nature, 419, 191, 10.1038/nature01088
2002 doi
-
[171]
2010, Principles of Planetary Climate (Cambridge, England, UK: Cambridge University Press), 10.1017/CBO9780511780783
---. 2010, Principles of Planetary Climate (Cambridge, England, UK: Cambridge University Press), 10.1017/CBO9780511780783
2010 doi
-
[172]
Piette, A. A. A., Gao, P., Brugman, K., et al. 2023, Astrophys. J., 954, 29, 10.3847/1538-4357/acdef2
2023 doi
-
[173]
2019, Icarus, 317, 583, 10.1016/j.icarus.2018.08.023
Pluriel, W., Marcq, E., & Turbet, M. 2019, Icarus, 317, 583, 10.1016/j.icarus.2018.08.023
2019 doi
-
[174]
Pollack, J. B. 1971, Icarus, 14, 295, 10.1016/0019-1035(71)90001-7
1971 doi
-
[175]
2019, Mon
Pu, B., & Lai, D. 2019, Mon. Not. R. Astron. Soc., 488, 3568, 10.1093/mnras/stz1817
2019 doi
-
[176]
M., Kopparapu, R., Zugger, M
Ramirez, R. M., Kopparapu, R., Zugger, M. E., et al. 2014, Nat. Geosci., 7, 59, 10.1038/ngeo2000
2014 doi
-
[177]
J., Lock, S
Roche, M. J., Lock, S. J., Dou, J., et al. 2025, Planet. Sci. J., 6, 149, 10.3847/PSJ/add929
2025 doi
-
[178]
G., Young, E
Rogers, J. G., Young, E. D., & Schlichting, H. E. 2025, Mon. Not. R. Astron. Soc., 544, 3496, 10.1093/mnras/staf1940
2025 doi
-
[179]
2022, , 218, 70, 10.1007/s11214-022-00937-9
Rolf , T., Weller , M., G \"u lcher , A., et al. 2022, , 218, 70, 10.1007/s11214-022-00937-9
2022 doi
-
[180]
2017, Lithos, 282-283, 316, 10.1016/j.lithos.2017.03.020
Rollinson, H., Adetunji, J., Lenaz, D., & Szilas, K. 2017, Lithos, 282-283, 316, 10.1016/j.lithos.2017.03.020
2017 doi
-
[181]
2021, Remote Sens., 13, 1624, 10.3390/rs13091624
Rosenblatt, P., Dumoulin, C., Marty, J.-C., & Genova, A. 2021, Remote Sens., 13, 1624, 10.3390/rs13091624
2021 doi
-
[182]
2010, Journal of Quantitative Spectroscopy and Radiative Transfer, 111, 2139, https://doi.org/10.1016/j.jqsrt.2010.05.001
Rothman, L., Gordon, I., Barber, R., et al. 2010, Journal of Quantitative Spectroscopy and Radiative Transfer, 111, 2139, https://doi.org/10.1016/j.jqsrt.2010.05.001
2010 doi
-
[183]
C., Dale, K
Rubie, D. C., Dale, K. I., Nathan, G., et al. 2025, Earth Planet. Sci. Lett., 651, 119139, 10.1016/j.epsl.2024.119139
2025 doi
-
[184]
2022, Nature, 606, 713, 10.1038/s41586-022-04710-4
Rzeplinski, I., Sanloup, C., Gilabert, E., & Horlait, D. 2022, Nature, 606, 713, 10.1038/s41586-022-04710-4
2022 doi
-
[185]
2016, Global Dynamics of the Earth: Applications of Viscoelastic Relaxation Theory to Solid-Earth and Planetary Geophysics (Dordrecht, The Netherlands: Springer Netherlands)
Sabadini, R., Vermeersen, B., & Cambiotti, G. 2016, Global Dynamics of the Earth: Applications of Viscoelastic Relaxation Theory to Solid-Earth and Planetary Geophysics (Dordrecht, The Netherlands: Springer Netherlands). https://link.springer.com/book/10.1007/978-94-017-7552-6
2016 doi
-
[186]
Salvador, A., Massol, H., Davaille, A., et al. 2017, J. Geophys. Res. Planets, 122, 1458, 10.1002/2017JE005286
2017 doi
-
[187]
Schaefer , L., & Elkins-Tanton , L. T. 2018, Philosophical Transactions of the Royal Society of London Series A, 376, 20180109, 10.1098/rsta.2018.0109
2018 doi
-
[188]
2017, , 843, 120, 10.3847/1538-4357/aa784f
Schaefer , L., & Fegley , Jr., B. 2017, , 843, 120, 10.3847/1538-4357/aa784f
2017 doi
-
[189]
Schaefer , L., Pahlevan , K., & Elkins-Tanton , L. T. 2024, Journal of Geophysical Research (Planets), 129, e2023JE008262, 10.1029/2023JE008262
2024 doi
-
[190]
D., Berta-Thompson , Z., & Sasselov , D
Schaefer , L., Wordsworth , R. D., Berta-Thompson , Z., & Sasselov , D. 2016, , 829, 63, 10.3847/0004-637X/829/2/63
2016 doi
- [191]
-
[192]
S., Collerson, K
Schoenberg, R., Kamber, B. S., Collerson, K. D., & Eugster, O. 2002, Geochim. Cosmochim. Acta, 66, 3151, 10.1016/S0016-7037(02)00911-0
2002 doi
-
[193]
Schulik, M., & Booth, R. A. 2023, Mon. Not. R. Astron. Soc., 523, 286, 10.1093/mnras/stad1251
2023 doi
-
[194]
Scott, T., & Kohlstedt, D. L. 2006, Earth Planet. Sci. Lett., 246, 177, 10.1016/j.epsl.2006.04.027
2006 doi
-
[195]
L., Sossi, P
Seidler, F. L., Sossi, P. A., & Grimm, S. L. 2024, Astron. Astrophys., 691, A159, 10.1051/0004-6361/202450546
2024 doi
-
[196]
2023, Nature, 620, 287, 10.1038/s41586-023-06258-3
Selsis, F., Leconte, J., Turbet, M., Chaverot, G., & Bolmont, E. 2023, Nature, 620, 287, 10.1038/s41586-023-06258-3
2023 doi
-
[197]
D., Hirose, K., & Yokoo, S
Shahar, A., Young, E. D., Hirose, K., & Yokoo, S. 2026, Annu. Rev. Earth Planet. Sci., 10.1146/annurev-earth-040722-094945
2026 doi
-
[198]
Shorttle, O., Jordan, S., Nicholls, H., Lichtenberg, T., & Bower, D. J. 2024, Astrophys. J. Lett., 962, L8, 10.3847/2041-8213/ad206e
2024 doi
-
[199]
J., Hirschmann , M
Sim , S. J., Hirschmann , M. M., & Hier-Majumder , S. 2024, Journal of Geophysical Research (Planets), 129, e2024JE008346, 10.1029/2024JE008346
2024 doi
-
[200]
E., Fauchez, T
Sohl, L. E., Fauchez, T. J., Domagal-Goldman , S., et al. 2024, The Planetary Science Journal, 5, 175, 10.3847/PSJ/ad5830
2024 doi
-
[201]
2025, Science, 388, 1431, 10.1126/science.ads8461
Sole, C., O ' Neil, J., Rizo, H., et al. 2025, Science, 388, 1431, 10.1126/science.ads8461
2025 doi
-
[202]
2015, in Treatise on Geophysics (Second Edition), second edition edn., ed
Solomatov, V. 2015, in Treatise on Geophysics (Second Edition), second edition edn., ed. G. Schubert (Oxford: Elsevier), 81--104, https://doi.org/10.1016/B978-0-444-53802-4.00155-X
2015 doi
-
[203]
S., & Moresi, L.-N
Solomatov, V. S., & Moresi, L.-N. 1996, J. Geophys. Res. Planets, 101, 4737, 10.1029/95JE03361
1996 doi
-
[204]
S., & Stevenson, D
Solomatov, V. S., & Stevenson, D. J. 1993, J. Geophys. Res. Planets, 98, 5391, 10.1029/92JE02579
1993 doi
-
[205]
J., et al
Sorbadere, F., Laurenz, V., Frost, D. J., et al. 2018, Geochim. Cosmochim. Acta, 239, 235, 10.1016/j.gca.2018.07.019
2018 doi
-
[206]
A., Burnham, A
Sossi, P. A., Burnham, A. D., Badro, J., et al. 2020, Sci. Adv., 6, 10.1126/sciadv.abd1387
2020 doi
-
[207]
A., Hin, R
Sossi, P. A., Hin, R. C., Kleine, T., Morbidelli, A., & Nimmo, F. 2025, Space Sci. Rev., 221, 118, 10.1007/s11214-025-01243-w
2025 doi
-
[208]
A., Tollan, P
Sossi, P. A., Tollan, P. M. E., Badro, J., & Bower, D. J. 2023, Earth Planet. Sci. Lett., 601, 117894, 10.1016/j.epsl.2022.117894
2023 doi
-
[209]
J., Ballmer, M
Spaargaren, R. J., Ballmer, M. D., Bower, D. J., Dorn, C., & Tackley, P. J. 2020, Astron. Astrophys., 643, A44, 10.1051/0004-6361/202037632
2020 doi
-
[210]
2017, Radiative Transfer in the Atmosphere and Ocean (Cambridge University Press)
Stamnes, K., Thomas, G., & Stamnes, J. 2017, Radiative Transfer in the Atmosphere and Ocean (Cambridge University Press). https://books.google.co.uk/books?id=GN0qDwAAQBAJ
2017
-
[211]
Stevenson, D. J. 2001, Nature, 412, 214, 10.1038/35084155
2001 doi
- [212]
-
[213]
Stixrude, L., de Koker, N., Sun, N., Mookherjee, M., & Karki, B. B. 2009, Earth Planet. Sci. Lett., 278, 226, 10.1016/j.epsl.2008.12.006
2009 doi
-
[214]
G., Schaber, G
Strom, R. G., Schaber, G. G., & Dawson, D. D. 1994, J. Geophys. Res. Planets, 99, 10899, 10.1029/94JE00388
1994 doi
-
[215]
S., Dalou , C., & Lichtenberg , T
Suer , T.-A., Jackson , C., Grewal , D. S., Dalou , C., & Lichtenberg , T. 2023, Frontiers in Earth Science, 11, 1159412, 10.3389/feart.2023.1159412
2023 doi
-
[216]
Tackley, P. J. 2000, Geochem. Geophys. Geosyst., 1, 10.1029/2000GC000036
2000 doi
-
[217]
K., Wallack , N
Teske , J. K., Wallack , N. L., Piette , A. A. A., et al. 2025, arXiv e-prints, arXiv:2509.17231, 10.48550/arXiv.2509.17231
2025 doi
-
[218]
Thompson, M. A. 2026, Astrophys. Space Sci., 371, 33, 10.1007/s10509-026-04564-6
2026 doi
-
[219]
V., Ignatiev, N
Titov, D. V., Ignatiev, N. I., McGouldrick, K., Wilquet, V., & Wilson, C. F. 2018, Space Sci. Rev., 214, 126, 10.1007/s11214-018-0552-z
2018 doi
-
[220]
2021, Astrophys
Tsai, S.-M., Innes, H., Lichtenberg, T., et al. 2021, Astrophys. J. Lett., 922, L27, 10.3847/2041-8213/ac399a
2021 doi
-
[221]
M., & Mukhopadhyay, S
Tucker, J. M., & Mukhopadhyay, S. 2014, Earth Planet. Sci. Lett., 393, 254, 10.1016/j.epsl.2014.02.050
2014 doi
-
[222]
2021, Nature, 598, 276, 10.1038/s41586-021-03873-w
Turbet, M., Chaverot, G., Leconte, J., et al. 2021, Nature, 598, 276, 10.1038/s41586-021-03873-w
2021 doi
-
[223]
L., & Schubert, G
Turcotte, D. L., & Schubert, G. 2002, Geodynamics (Cambridge university press)
2002
-
[224]
S., & Campbell, I
Turner, J. S., & Campbell, I. H. 1986, Earth-Sci. Rev., 23, 255, 10.1016/0012-8252(86)90015-2
1986 doi
-
[225]
T., Desch, S
Unterborn, C. T., Desch, S. J., Hinkel, N. R., & Lorenzo, A. 2018, Nat. Astron., 2, 297, 10.1038/s41550-018-0411-6
2018 doi
-
[226]
J., & Sasselov , D
Valencia , D., O'Connell , R. J., & Sasselov , D. 2006, , 181, 545, 10.1016/j.icarus.2005.11.021
2006 doi
-
[227]
R., Nicholls, H., & Lichtenberg, T
van Dijk, M. R., Nicholls, H., & Lichtenberg, T. 2026, Planet. Sci. J., 7, 94, 10.3847/PSJ/ae5928
2026 doi
-
[228]
L., Fauchez, T
Villanueva, G. L., Fauchez, T. J., Kofman, V., et al. 2024, Planet. Sci. J., 5, 64, 10.3847/PSJ/ad2681
2024 doi
-
[229]
Wade, J., & Wood, B. J. 2005, Earth Planet. Sci. Lett., 236, 78, 10.1016/j.epsl.2005.05.017
2005 doi
-
[230]
Wagner, W., & Pru , A. 2002, J. Phys. Chem. Ref. Data, 31, 387, 10.1063/1.1461829
2002 doi
-
[231]
2025, Icarus, 434, 116513, 10.1016/j.icarus.2025.116513
Walbecq, A., Samuel, H., & Limare, A. 2025, Icarus, 434, 116513, 10.1016/j.icarus.2025.116513
2025 doi
-
[232]
S., Lineweaver, C
Wang, H. S., Lineweaver, C. H., & Ireland, T. R. 2018, Icarus, 299, 460, 10.1016/j.icarus.2017.08.024
2018 doi
-
[233]
O., & Kite, E
Warren, A. O., & Kite, E. S. 2023, Proc. Natl. Acad. Sci. U.S.A., 120, e2209751120, 10.1073/pnas.2209751120
2023 doi
-
[234]
J., Del Genio, A
Way, M. J., Del Genio, A. D., Kiang, N. Y., et al. 2016, Geophys. Res. Lett., 43, 8376, 10.1002/2016GL069790
2016 doi
-
[235]
2000, Geochim
Whittington, A., Richet, P., & Holtz, F. 2000, Geochim. Cosmochim. Acta, 64, 3725, 10.1016/S0016-7037(00)00448-8
2000 doi
-
[236]
S., & Bower, D
Wolf, A. S., & Bower, D. J. 2018, Physics of the Earth and Planetary Interiors, 278, 59, https://doi.org/10.1016/j.pepi.2018.02.004
2018 doi
-
[237]
2013, Science, 339, 64, 10.1126/science.1225759
Wordsworth, R., & Pierrehumbert, R. 2013, Science, 339, 64, 10.1126/science.1225759
2013 doi
- [238]
-
[239]
2018, The Astronomical Journal, 155, 195
Wordsworth, R., Schaefer, L., & Fischer, R. 2018, The Astronomical Journal, 155, 195
2018
-
[240]
D., Werlen , A., Marcum , S
Young , E. D., Werlen , A., Marcum , S. P., Stixrude , L., & Dullemond , C. P. 2025, arXiv e-prints, arXiv:2507.00947, 10.48550/arXiv.2507.00947
2025 doi
-
[241]
I., Fortney, J
Yu, X., Moses, J. I., Fortney, J. J., & Zhang, X. 2021, Astrophys. J., 914, 38, 10.3847/1538-4357/abfdc7
2021 doi
-
[242]
F., & Pollack , J
Zahnle , K., Kasting , J. F., & Pollack , J. B. 1990, , 84, 502, 10.1016/0019-1035(90)90050-J
1990 doi
-
[243]
2010, Cold Spring Harbor Perspect
Zahnle, K., Schaefer, L., & Fegley, B. 2010, Cold Spring Harbor Perspect. Biol., 2, a004895, 10.1101/cshperspect.a004895
2010 doi
-
[244]
J., & Kasting, J
Zahnle, K. J., & Kasting, J. F. 1986, Icarus, 68, 462, 10.1016/0019-1035(86)90051-5
1986 doi
-
[245]
J., Kasting, J
Zahnle, K. J., Kasting, J. F., & Pollack, J. B. 1988, Icarus, 74, 62, 10.1016/0019-1035(88)90031-0
1988 doi
-
[246]
J., Lupu, R., Dobrovolskis, A., & Sleep, N
Zahnle, K. J., Lupu, R., Dobrovolskis, A., & Sleep, N. H. 2015, Earth Planet. Sci. Lett., 427, 74, 10.1016/j.epsl.2015.06.058
2015 doi
-
[247]
Zilinskas , M., van Buchem , C. P. A., Zieba , S., et al. 2025, , 697, A34, 10.1051/0004-6361/202554062
2025 doi
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