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Using density functional molecular dynamics simulations, we determine the equation of state for hydrogen-helium mixtures spanning density-temperature conditions typical of giant planet interiors, ~0.2-9 g/cc and 1000-80000 K for a typical…

Earth and Planetary Astrophysics · Physics 2015-06-15 B. Militzer , W. B. Hubbard

Water is one of the key chemical elements in planetary structure modelling. Due to its complex phase diagram, equations of state cover often only parts of the pressure - temperature space needed in planetary modelling. We construct an…

Earth and Planetary Astrophysics · Physics 2020-11-11 Jonas Haldemann , Yann Alibert , Christoph Mordasini , Willy Benz

Water (H$_{2}$O), in all forms, is an important constituent in planetary bodies, controlling habitability and influencing geological activity. Under conditions found in the interior of many planets, as the pressure increases, the H-bonds in…

Recently there has been tremendous increase in the number of identified extra-solar planetary systems. Our understanding of their formation is tied to exoplanet internal structure models, which rely upon equations of state of light elements…

Earth and Planetary Astrophysics · Physics 2015-06-03 M. D. Knudson , M. P. Desjarlais , R. W. Lemke , T. R. Mattsson , M. French , N. Nettelmann , R. Redmer

We present a new equation of state (EOS) for dense hydrogen/helium mixtures which covers a range of densities from $10^{-8}$ to $10^6$ g.cm$^{-3}$, pressures from $10^{-9}$ to $10^{13}$ GPa and temperatures from $10^{2}$ to $10^{8}$ K. The…

Solar and Stellar Astrophysics · Physics 2019-02-20 G. Chabrier , S. Mazevet , F. Soubiran

The equation of state of hydrogen, helium, and water effects interior structure models of giant planets significantly. We present a new equation of state data table, LM-REOS, generated by large scale quantum molecular dynamics simulations…

Astrophysics · Physics 2008-11-07 N. Nettelmann , B. Holst , A. Kietzmann , M. French , R. Redmer , D. Blaschke

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…

Earth and Planetary Astrophysics · Physics 2024-01-01 S. Mazevet , A. Licari , F. Soubiran

Modeling the interior of a rocky or water-rich exoplanet is a thermodynamic closure problem: every layer's density, temperature gradient, and phase must follow from an equation of state (EoS) that remains self-consistent across the…

Earth and Planetary Astrophysics · Physics 2026-05-06 Mara Attia , Tim Lichtenberg , Ema Jungová , Mariana Sastre

Impacts between planetary-sized bodies can explain the origin of satellites orbiting large ($R>500$~km) trans-Neptunian objects. Their water rich composition, along with the complex phase diagram of water, make it important to accurately…

Earth and Planetary Astrophysics · Physics 2021-09-14 Yonatan Shimoni , Oded Aharonson , Raluca Rufu

Accurate determination of the equation of state of dense hydrogen is essential for understanding gas giants. Currently, there is still no consensus on methods for calculating its entropy, which play a fundamental role and can result in…

Earth and Planetary Astrophysics · Physics 2025-08-12 Hao Xie , Saburo Howard , Guglielmo Mazzola

Physics-based first-principles pressure-volume-temperature equations of state (EOS) exist for solids and gases but not for liquids due to the long-standing fundamental problems involved in liquid theory. Current EOS models that are…

Soft Condensed Matter · Physics 2024-12-24 J. E. Proctor , K. Trachenko

In a recent paper (Chabrier et al. 2019), we have derived a new equation of state (EOS) for dense hydrogen/helium mixtures which covers the temperature-density domain from solar-type stars to brown dwarfs and gaseous planets. This EOS is…

Solar and Stellar Astrophysics · Physics 2021-08-18 Gilles Chabrier , Florian Debras

The equation of state for dense fluids has been derived within the framework of the Sutherland and Katz potential models. The equation quantitatively agrees with experimental data on the isothermal compression of water under extrapolation…

Chemical Physics · Physics 2012-03-15 V. Yu. Bardik , D. Nerukh , E. V. Pavlov , I. V. Zhyganiuk

We describe the equation of state (EoS) of a warm ion plasma as obtained by performing microscopic many-body simulations using Molecular Dynamics computational techniques. Using the cold one-component plasma (OCP) composition in the Neutron…

High Energy Astrophysical Phenomena · Physics 2026-04-22 David Barba-González , Conrado Albertus , M. Ángeles Pérez-García

The equation of state (EOS) of materials at warm dense conditions poses significant challenges to both theory and experiment. We report a combined computational, modeling, and experimental investigation leveraging new theoretical and…

We present new equations of state (EOS) for hydrogen and helium covering a wide range of temperatures from 60 K to 10$^7$ K and densities from $10^{-10}$ g/cm$^3$ to $10^3$ g/cm$^3$. They include an extended set of ab initio EOS data for…

Earth and Planetary Astrophysics · Physics 2014-12-04 Andreas Becker , Winfried Lorenzen , Jonathan J. Fortney , Nadine Nettelmann , Manuel Schöttler , Ronald Redmer

An extension of the relativistic density functional approach to the equation of state for strongly interacting matter is suggested which generalizes a recently developed modified excluded-volume mechanism to the case of temperature and…

Nuclear Theory · Physics 2018-02-16 Stefan Typel , David Blaschke

The relationships among the pressure P, volume V, and temperature T of solid-state materials are described by their equations of state (EOSs), which are often derived from the consideration of the finite-strain energy or the interatomic…

Materials Science · Physics 2016-12-19 Elijah E. Gordon , Juergen Koehler , Myung-Hwan Whangbo

We generate a new complete equation of state (EOS) of nuclear matter for a wide range of temperatures, densities, and proton fractions ready for use in astrophysical simulations of supernovae and neutron star mergers. Our previous two…

Solar and Stellar Astrophysics · Physics 2015-03-17 G. Shen , C. J. Horowitz , S. Teige

We construct the equation of state (EOS) of dense matter covering a wide range of temperature, proton fraction, and density for the use of core-collapse supernova simulations. The study is based on the relativistic mean-field (RMF) theory,…

High Energy Astrophysical Phenomena · Physics 2012-03-26 H. Shen , H. Toki , K. Oyamatsu , K. Sumiyoshi
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