High temperature equation of state of metallic hydrogen
- Odessa State Academy of Refrigeration (Ukraine), E-mail: valtar@paco.net
The equation of state of liquid metallic hydrogen is solved numerically. Investigations are carried out at temperatures from 3000 to 20 000 K and densities from 0.2 to 3 mol/cm{sup 3}, which correspond both to the experimental conditions under which metallic hydrogen is produced on earth and the conditions in the cores of giant planets of the solar system such as Jupiter and Saturn. It is assumed that hydrogen is in an atomic state and all its electrons are collectivized. Perturbation theory in the electron-proton interaction is applied to determine the thermodynamic potentials of metallic hydrogen. The electron subsystem is considered in the randomphase approximation with regard to the exchange interaction and the correlation of electrons in the local-field approximation. The proton-proton interaction is taken into account in the hard-spheres approximation. The thermodynamic characteristics of metallic hydrogen are calculated with regard to the zero-, second-, and third-order perturbation theory terms. The third-order term proves to be rather essential at moderately high temperatures and densities, although it is much smaller than the second-order term. The thermodynamic potentials of metallic hydrogen are monotonically increasing functions of density and temperature. The values of pressure for the temperatures and pressures that are characteristic of the conditions under which metallic hydrogen is produced on earth coincide with the corresponding values reported by the discoverers of metallic hydrogen to a high degree of accuracy. The temperature and density ranges are found in which there exists a liquid phase of metallic hydrogen.
- OSTI ID:
- 21072489
- Journal Information:
- Journal of Experimental and Theoretical Physics, Vol. 104, Issue 4; Other Information: DOI: 10.1134/S1063776107040164; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
APPROXIMATIONS
ELECTRON-PROTON INTERACTIONS
ELECTRONS
EQUATIONS OF STATE
EXCHANGE INTERACTIONS
HYDROGEN
JUPITER PLANET
LIQUIDS
PERTURBATION THEORY
POTENTIALS
PROTON-PROTON INTERACTIONS
SATURN PLANET
SOLAR SYSTEM
TEMPERATURE DEPENDENCE
TEMPERATURE RANGE 1000-4000 K
TEMPERATURE RANGE OVER 4000 K
THERMODYNAMIC PROPERTIES