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 language | English (US) |
|---|---|
| Pages (from-to) | 65-68 |
| Number of pages | 4 |
| Journal | Physics of the Earth and Planetary Interiors |
| Volume | 6 |
| Issue number | 1-3 |
| DOIs | |
| State | Published - 1972 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Geophysics
- Space and Planetary Science
- Physics and Astronomy (miscellaneous)
- Astronomy and Astrophysics
Cite this
Thermodynamics of hydrogen-helium mixtures at high pressure and finite temperature. / Hubbard, William B.
In: Physics of the Earth and Planetary Interiors, Vol. 6, No. 1-3, 1972, p. 65-68.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Thermodynamics of hydrogen-helium mixtures at high pressure and finite temperature
AU - Hubbard, William B.
PY - 1972
Y1 - 1972
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.
UR - http://www.scopus.com/inward/record.url?scp=49649140544&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=49649140544&partnerID=8YFLogxK
U2 - 10.1016/0031-9201(72)90034-9
DO - 10.1016/0031-9201(72)90034-9
M3 - Article
AN - SCOPUS:49649140544
VL - 6
SP - 65
EP - 68
JO - Physics of the Earth and Planetary Interiors
JF - Physics of the Earth and Planetary Interiors
SN - 0031-9201
IS - 1-3
ER -