Benchmarking the ab initio hydrogen equations of state for the interior structure of Jupiter

Abstract

As Juno is presently measuring Jupiter's gravitational moments to unprecedented accuracy, models for the interior structure of the planet are putted to the test. While equations of state based on first principles or ab initio simulations have been available and used for the two most abundant elements constituting the envelope, hydrogen and helium, significant discrepancies remain regarding the predictions of the inner structure of Jupiter. The differences are severe enough to clutter the analysis of Juno's data and even cast doubts on the usefulness of these computationally expensive EOSs for the modeling of the interior of Jupiter and exoplanets at large. Using our newly developed equations of state for hydrogen and helium, we asses the ab initio equations of state currently available and establish their efficiency at predicting the interior structure of Jupiter in a two-layers model. By adjusting our free energy parameterization to reproduce previous ab initio EOS behavior, we identify the source of the disagreement previously reported for the interior structure of Jupiter. We further point to area where care should be taken when building EOS for the modeling of giant planets. This concerns the interpolation between the ab initio results and the physical models used to cover the low density range as well as the interpolation of the {\sl ab initio} simulation results at high densities. This sensitivity falls well within the uncertainties of the ab initio simulations. This suggests that hydrogen EOS should be carefully benchmarked using a simple planetary model before being used in the more advanced planetary models needed to interpret the Juno data. We finally provide an updated version of our ab initio hydrogen EOS recently published.

References in corpus (7)

• Comparing Jupiter interior structure models to Juno gravity measurements and the role of a dilute core
• New models of Jupiter in the context of Juno and Galileo
• A new equation of state for dense hydrogen-helium mixtures
• Ab initio equations of state for hydrogen (H-REOS.3) and helium (He-REOS.3) and their implications for the interior of Brown Dwarfs
• Phase diagram of hydrogen and a hydrogen-helium mixture at planetary conditions by Quantum Monte Carlo simulations
• Jupiter internal structure: the effect of different equations of state
• Low- and high-order gravitational harmonics of rigidly rotating Jupiter

Cited by in corpus (8)

• Jupiter's inhomogeneous envelope
• Jupiter's interior from Juno: Equation-of-state uncertainties and dilute core extent
• Accounting for non-ideal mixing effects in the hydrogen-helium equation of state
• Heavy-element Accretion by Proto-Jupiter in a Massive Planetesimal Disk, Revisited
• Breaking degeneracies in exoplanetary parameters through self-consistent atmosphere-interior modelling
• Probing Superheavy Dark Matter with Exoplanets
• Accurate and thermodynamically consistent hydrogen equation of state for planetary modeling with flow matching
• No dilute core produced in simulations of giant impacts on to Jupiter