Thermodynamics of hydrogen-helium mixtures at high pressure and finite temperature

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Abstract

We review a technique for calculating thermodynamic quantities for mixtures of light elements at high pressure, in the metallic state. Ensemble averages are calculated with Monte Carlo techniques and periodic boundary conditions. Interparticle potentials are assumed to be coulombic, screened by the electrons in dielectric function theory. This method is quantitatively accurate for alloys at pressures above about 10 Mbar. An alloy of equal parts hydrogen and helium by mass appears to remain liquid and mixed for temperatures above about 3000 K, at pressures of about 15 Mbar. The additive volume law is satisfied to within about 10%, but the Grüneisen equation of state gives poor results. A calculation at 1300 K shows evidence of a hydrogen-helium phase separation.

Original languageEnglish (US)
Pages (from-to)65-68
Number of pages4
JournalPhysics of the Earth and Planetary Interiors
Volume6
Issue number1-3
DOIs
StatePublished - 1972
Externally publishedYes

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helium
thermodynamics
hydrogen
light elements
equation of state
equations of state
boundary condition
temperature
boundary conditions
electron
liquid
liquids
electrons
method
calculation

ASJC Scopus subject areas

  • Geophysics
  • Space and Planetary Science
  • Physics and Astronomy (miscellaneous)
  • Astronomy and Astrophysics

Cite this

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title = "Thermodynamics of hydrogen-helium mixtures at high pressure and finite temperature",
abstract = "We review a technique for calculating thermodynamic quantities for mixtures of light elements at high pressure, in the metallic state. Ensemble averages are calculated with Monte Carlo techniques and periodic boundary conditions. Interparticle potentials are assumed to be coulombic, screened by the electrons in dielectric function theory. This method is quantitatively accurate for alloys at pressures above about 10 Mbar. An alloy of equal parts hydrogen and helium by mass appears to remain liquid and mixed for temperatures above about 3000 K, at pressures of about 15 Mbar. The additive volume law is satisfied to within about 10{\%}, but the Gr{\"u}neisen equation of state gives poor results. A calculation at 1300 K shows evidence of a hydrogen-helium phase separation.",
author = "Hubbard, {William B.}",
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T1 - Thermodynamics of hydrogen-helium mixtures at high pressure and finite temperature

AU - Hubbard, William B.

PY - 1972

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N2 - We review a technique for calculating thermodynamic quantities for mixtures of light elements at high pressure, in the metallic state. Ensemble averages are calculated with Monte Carlo techniques and periodic boundary conditions. Interparticle potentials are assumed to be coulombic, screened by the electrons in dielectric function theory. This method is quantitatively accurate for alloys at pressures above about 10 Mbar. An alloy of equal parts hydrogen and helium by mass appears to remain liquid and mixed for temperatures above about 3000 K, at pressures of about 15 Mbar. The additive volume law is satisfied to within about 10%, but the Grüneisen equation of state gives poor results. A calculation at 1300 K shows evidence of a hydrogen-helium phase separation.

AB - We review a technique for calculating thermodynamic quantities for mixtures of light elements at high pressure, in the metallic state. Ensemble averages are calculated with Monte Carlo techniques and periodic boundary conditions. Interparticle potentials are assumed to be coulombic, screened by the electrons in dielectric function theory. This method is quantitatively accurate for alloys at pressures above about 10 Mbar. An alloy of equal parts hydrogen and helium by mass appears to remain liquid and mixed for temperatures above about 3000 K, at pressures of about 15 Mbar. The additive volume law is satisfied to within about 10%, but the Grüneisen equation of state gives poor results. A calculation at 1300 K shows evidence of a hydrogen-helium phase separation.

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JO - Physics of the Earth and Planetary Interiors

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