Properties of hydrogen, helium, and silicon dioxide mixtures in giant planet interiors

Soubiran, François; Militzer, Burkhard; Driver, Kevin P.; Zhang, Shuai

doi:10.1063/1.4978618

Title: Properties of hydrogen, helium, and silicon dioxide mixtures in giant planet interiors

Journal Article · Wed Mar 22 00:00:00 EDT 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4978618· OSTI ID:1465731

^[1]; Militzer, Burkhard ^[1]; Driver, Kevin P. ^[1];

^[1]

Univ. of California, Berkeley, CA (United States)

Recent observations of Jupiter and Saturn provided by spacecraft missions, such as Juno and Cassini, compel us to revise and improve our models of giant planet interiors. Even though hydrogen and helium are by far the dominant species in these planets, heavy elements can play a significant role in the structure and evolution of the planet.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Univ. of California, Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0010517; SC0016248

OSTI ID:: 1465731

Alternate ID(s):: OSTI ID: 1373965

Journal Information:: Physics of Plasmas, Vol. 24, Issue 4; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 26 works

Citation information provided by
Web of Science

References (33)

Generalized Gradient Approximation Made Simple Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868 https://doi.org/10.1103/PhysRevLett.77.3865	journal	October 1996
Equation of state calculations of hydrogen-helium mixtures in solar and extrasolar giant planets Militzer, Burkhard Physical Review B, Vol. 87, Issue 1 https://doi.org/10.1103/PhysRevB.87.014202	journal	January 2013
Projector augmented-wave method Blöchl, P. E. Physical Review B, Vol. 50, Issue 24, p. 17953-17979 https://doi.org/10.1103/PhysRevB.50.17953	journal	December 1994
Dynamical and optical properties of warm dense hydrogen Collins, L. A.; Bickham, S. R.; Kress, J. D. Physical Review B, Vol. 63, Issue 18 https://doi.org/10.1103/PhysRevB.63.184110	journal	April 2001
Jupiter Models with Improved ab Initio Hydrogen Equation of State (H-Reos.2) Nettelmann, N.; Becker, A.; Holst, B. The Astrophysical Journal, Vol. 750, Issue 1 https://doi.org/10.1088/0004-637X/750/1/52	journal	April 2012
A new vision of giant planet interiors: Impact of double diffusive convection Leconte, J.; Chabrier, G. Astronomy & Astrophysics, Vol. 540 https://doi.org/10.1051/0004-6361/201117595	journal	March 2012
Phase separation in hydrogen-helium mixtures at Mbar pressures Morales, M. A.; Schwegler, E.; Ceperley, D. Proceedings of the National Academy of Sciences, Vol. 106, Issue 5 https://doi.org/10.1073/pnas.0812581106	journal	January 2009
A Framework for Characterizing the Atmospheres of Low-Mass Low-Density Transiting Planets Fortney, Jonathan J.; Mordasini, Christoph; Nettelmann, Nadine The Astrophysical Journal, Vol. 775, Issue 1 https://doi.org/10.1088/0004-637X/775/1/80	journal	September 2013
Optical signature of hydrogen-helium demixing at extreme density-temperature conditions Soubiran, F.; Mazevet, S.; Winisdoerffer, C. Physical Review B, Vol. 87, Issue 16 https://doi.org/10.1103/PhysRevB.87.165114	journal	April 2013
Effect of correlation on viscosity and diffusion in molecular-dynamics simulations Meyer, Edmund R.; Kress, Joel D.; Collins, Lee A. Physical Review E, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevE.90.043101	journal	October 2014
Evidence for a first-order liquid-liquid transition in high-pressure hydrogen from ab initio simulations Morales, M. A.; Pierleoni, C.; Schwegler, E. Proceedings of the National Academy of Sciences, Vol. 107, Issue 29 https://doi.org/10.1073/pnas.1007309107	journal	June 2010
A Preliminary Jupiter Model Hubbard, W. B.; Militzer, B. The Astrophysical Journal, Vol. 820, Issue 1 https://doi.org/10.3847/0004-637X/820/1/80	journal	March 2016
A unified formulation of the constant temperature molecular dynamics methods Nosé, Shuichi The Journal of Chemical Physics, Vol. 81, Issue 1 https://doi.org/10.1063/1.447334	journal	July 1984
Formation of the Giant Planets by Concurrent Accretion of Solids and Gas Pollack, James B.; Hubickyj, Olenka; Bodenheimer, Peter Icarus, Vol. 124, Issue 1 https://doi.org/10.1006/icar.1996.0190	journal	November 1996
Self-Consistent Equations Including Exchange and Correlation Effects Kohn, W.; Sham, L. J. Physical Review, Vol. 140, Issue 4A, p. A1133-A1138 https://doi.org/10.1103/PhysRev.140.A1133	journal	November 1965
Interior Models of Saturn: Including the Uncertainties in Shape and Rotation Helled, Ravit; Guillot, Tristan The Astrophysical Journal, Vol. 767, Issue 2 https://doi.org/10.1088/0004-637X/767/2/113	journal	April 2013
Ab Initio free Energy Calculations of the Solubility of Silica in Metallic Hydrogen and Application to Giant Planet Cores González-Cataldo, F.; Wilson, Hugh F.; Militzer, B. The Astrophysical Journal, Vol. 787, Issue 1 https://doi.org/10.1088/0004-637X/787/1/79	journal	May 2014
Solubility of Water ice in Metallic Hydrogen: Consequences for core Erosion in gas Giant Planets Wilson, H. F.; Militzer, B. The Astrophysical Journal, Vol. 745, Issue 1 https://doi.org/10.1088/0004-637X/745/1/54	journal	December 2011
Updated Galileo probe mass spectrometer measurements of carbon, oxygen, nitrogen, and sulfur on Jupiter Wong, Michael H.; Mahaffy, Paul R.; Atreya, Sushil K. Icarus, Vol. 171, Issue 1 https://doi.org/10.1016/j.icarus.2004.04.010	journal	September 2004
Ab Initio Simulations for Material Properties Along the Jupiter Adiabat French, Martin; Becker, Andreas; Lorenzen, Winfried The Astrophysical Journal Supplement Series, Vol. 202, Issue 1 https://doi.org/10.1088/0067-0049/202/1/5	journal	August 2012
Hydrogen–water mixtures in giant planet interiors studied with ab initio simulations Soubiran, F.; Militzer, B. High Energy Density Physics, Vol. 17 https://doi.org/10.1016/j.hedp.2014.10.005	journal	December 2015
Solubility of iron in Metallic Hydrogen and Stability of Dense Cores in Giant Planets Wahl, Sean M.; Wilson, Hugh F.; Militzer, Burkhard The Astrophysical Journal, Vol. 773, Issue 2 https://doi.org/10.1088/0004-637X/773/2/95	journal	July 2013
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set Kresse, G.; Furthmüller, J. Physical Review B, Vol. 54, Issue 16, p. 11169-11186 https://doi.org/10.1103/PhysRevB.54.11169	journal	October 1996
Formation of the giant planets Stevenson, D. J. Planetary and Space Science, Vol. 30, Issue 8 https://doi.org/10.1016/0032-0633(82)90108-8	journal	August 1982
Layered convection as the origin of Saturn’s luminosity anomaly Leconte, Jérémy; Chabrier, Gilles Nature Geoscience, Vol. 6, Issue 5 https://doi.org/10.1038/ngeo1791	journal	April 2013
Understanding Jupiter's interior: UNDERSTANDING JUPITER'S INTERIOR Militzer, Burkhard; Soubiran, François; Wahl, Sean M. Journal of Geophysical Research: Planets, Vol. 121, Issue 9 https://doi.org/10.1002/2016JE005080	journal	September 2016
Scaling behaviour in Rayleigh–Bénard convection with and without rotation King, E. M.; Stellmach, S.; Buffett, B. Journal of Fluid Mechanics, Vol. 717 https://doi.org/10.1017/jfm.2012.586	journal	February 2013
Mean-Value Point in the Brillouin Zone Baldereschi, A. Physical Review B, Vol. 7, Issue 12 https://doi.org/10.1103/PhysRevB.7.5212	journal	June 1973
The dynamics and helium distribution in hydrogen-helium fluid planets Stevenson, D. J.; Salpeter, E. E. The Astrophysical Journal Supplement Series, Vol. 35 https://doi.org/10.1086/190479	journal	October 1977
Metallization in hydrogen-helium mixtures Lorenzen, Winfried; Holst, Bastian; Redmer, Ronald Physical Review B, Vol. 84, Issue 23 https://doi.org/10.1103/PhysRevB.84.235109	journal	December 2011
Numerical convergence of the self-diffusion coefficient and viscosity obtained with Thomas-Fermi-Dirac molecular dynamics Danel, J. -F.; Kazandjian, L.; Zérah, G. Physical Review E, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevE.85.066701	journal	June 2012
Constant Temperature Molecular Dynamics Methods Nosé, Shuichi Progress of Theoretical Physics Supplement, Vol. 103 https://doi.org/10.1143/PTPS.103.1	journal	January 1991
Multiphase equation of state of hydrogen from ab initio calculations in the range 0.2 to 5 g/cc up to 10 eV Caillabet, L.; Mazevet, S.; Loubeyre, P. Physical Review B, Vol. 83, Issue 9 https://doi.org/10.1103/PhysRevB.83.094101	journal	March 2011

Cited By (13)

How cores grow by pebble accretion: I. Direct core growth Brouwers, M. G.; Vazan, A.; Ormel, C. W. Astronomy & Astrophysics, Vol. 611 https://doi.org/10.1051/0004-6361/201731824	journal	March 2018
The static local field correction of the warm dense electron gas: An ab initio path integral Monte Carlo study and machine learning representation Dornheim, T.; Vorberger, J.; Groth, S. The Journal of Chemical Physics, Vol. 151, Issue 19 https://doi.org/10.1063/1.5123013	journal	November 2019
Quantum molecular dynamics study on the proton exchange, ionic structures, and transport properties of warm dense hydrogen-deuterium mixtures Liu, Lei; Li, Zhi-Guo; Dai, Jia-Yu Physical Review E, Vol. 97, Issue 6 https://doi.org/10.1103/physreve.97.063204	journal	June 2018
Simple scaling laws for the transport coefficients calculated by density-functional theory molecular dynamics Danel, J. -F.; Kazandjian, L. Physics of Plasmas, Vol. 26, Issue 6 https://doi.org/10.1063/1.5098885	journal	June 2019
Explaining the low luminosity of Uranus: a self-consistent thermal and structural evolution Vazan, Allona; Helled, Ravit Astronomy & Astrophysics, Vol. 633 https://doi.org/10.1051/0004-6361/201936588	journal	January 2020
Path integral Monte Carlo simulations of dense carbon-hydrogen plasmas Zhang, Shuai; Militzer, Burkhard; Benedict, Lorin X. The Journal of Chemical Physics, Vol. 148, Issue 10 https://doi.org/10.1063/1.5001208	journal	March 2018
Explaining the low luminosity of Uranus: A self-consistent thermal and structural evolution Vazan, A.; Helled, R. arXiv https://doi.org/10.48550/arxiv.1908.10682	text	January 2019
The interiors of Uranus and Neptune: current understanding and open questions Helled, Ravit; Fortney, Jonathan J. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 378, Issue 2187 https://doi.org/10.1098/rsta.2019.0474	journal	November 2020
Ab initio Path Integral Monte Carlo Results for the Dynamic Structure Factor of Correlated Electrons: From the Electron Liquid to Warm Dense Matter Dornheim, T.; Groth, S.; Vorberger, J. Physical Review Letters, Vol. 121, Issue 25 https://doi.org/10.1103/physrevlett.121.255001	journal	December 2018
Explaining the low luminosity of Uranus: a self-consistent thermal and structural evolution Vazan, Allona; Helled, Ravit EDP Sciences https://doi.org/10.5167/uzh-199763	text	January 2020
Permutation blocking path integral Monte Carlo simulations of degenerate electrons at finite temperature Dornheim, Tobias; Groth, Simon; Bonitz, Michael Contributions to Plasma Physics, Vol. 59, Issue 4-5 https://doi.org/10.1002/ctpp.201800157	journal	January 2019
How cores grow by pebble accretion: I. Direct core growth ( Corrigendum ) Brouwers, M. G.; Vazan, A.; Ormel, C. W. Astronomy & Astrophysics, Vol. 621 https://doi.org/10.1051/0004-6361/201731824e	journal	December 2018
The exoplanet handbook: Book Review Trigo-Rodríguez, Josep M. Meteoritics & Planetary Science, Vol. 47, Issue 3 https://doi.org/10.1111/j.1945-5100.2012.01343.x	journal	March 2012

Similar Records

AB INITIO EQUATION OF STATE FOR HYDROGEN-HELIUM MIXTURES WITH RECALIBRATION OF THE GIANT-PLANET MASS-RADIUS RELATION

Journal Article · Tue Sep 10 00:00:00 EDT 2013 · Astrophysical Journal · OSTI ID:1465731

Militzer, B.; Hubbard, W. B.

Evidence of hydrogen-helium immiscibility at Jupiter-interior conditions

Journal Article · Wed May 26 00:00:00 EDT 2021 · Nature (London) · OSTI ID:1465731

Brygoo, S.; Loubeyre, P.; Millot, M.; +5 more

THE PROPERTIES OF HEAVY ELEMENTS IN GIANT PLANET ENVELOPES

Journal Article · Tue Sep 20 00:00:00 EDT 2016 · Astrophysical Journal · OSTI ID:1465731

Soubiran, François; Militzer, Burkhard

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Title: Properties of hydrogen, helium, and silicon dioxide mixtures in giant planet interiors

Citation Formats

References (33)

Cited By (13)

Similar Records

Related Subjects