Planetary Ices and the Linear Mixing Approximation

Bethkenhagen, M.; Meyer, E. R.; Hamel, S.; Nettelmann, N.; French, M.; Scheibe, L.; Ticknor, C.; Collins, L. A.; Kress, J. D.; Fortney, J. J.; Redmer, R.

doi:10.3847/1538-4357/aa8b14

Title: Planetary Ices and the Linear Mixing Approximation

Journal Article · Thu Oct 12 00:00:00 EDT 2017 · The Astrophysical Journal (Online)

DOI:https://doi.org/10.3847/1538-4357/aa8b14· OSTI ID:1420280

^[1]; Meyer, E. R. ^[2]; Hamel, S. ^[3];

^[4]; French, M. ^[5]; Scheibe, L. ^[5]; Ticknor, C. ^[2]; Collins, L. A. ^[2]; Kress, J. D. ^[2];

^[6]; Redmer, R. ^[5]

Univ. Rostock, Rostock (Germany); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. Rostock, Rostock (Germany); Univ. of California, Santa Cruz, CA (United States)
Univ. Rostock, Rostock (Germany)
Univ. of California, Santa Cruz, CA (United States)

Here, the validity of the widely used linear mixing approximation (LMA) for the equations of state (EOSs) of planetary ices is investigated at pressure–temperature conditions typical for the interiors of Uranus and Neptune. The basis of this study is ab initio data ranging up to 1000 GPa and 20,000 K, calculated via density functional theory molecular dynamics simulations. In particular, we determine a new EOS for methane and EOS data for the 1:1 binary mixtures of methane, ammonia, and water, as well as their 2:1:4 ternary mixture. Additionally, the self-diffusion coefficients in the ternary mixture are calculated along three different Uranus interior profiles and compared to the values of the pure compounds. We find that deviations of the LMA from the results of the real mixture are generally small; for the thermal EOSs they amount to 4% or less. The diffusion coefficients in the mixture agree with those of the pure compounds within 20% or better. Finally, a new adiabatic model of Uranus with an inner layer of almost pure ices is developed. The model is consistent with the gravity field data and results in a rather cold interior ($${T}_{\mathrm{core}}\sim 4000$$ K).

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Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-07NA27344; AC52-06NA25396

OSTI ID:: 1420280

Alternate ID(s):: OSTI ID: 1415412

Report Number(s):: LLNL-JRNL-734721; LA-UR-17-25748; TRN: US1801477

Journal Information:: The Astrophysical Journal (Online), Vol. 848, Issue 1; ISSN 1538-4357

Publisher:: Institute of Physics (IOP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 37 works

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