Journal of Physical Studies 10(3), 193–202 (2006)
DOI: https://doi.org/10.30970/jps.10.193

THE EQUATION OF STATE OF METALLIC HYDROGEN

V. T. Shvets, S. V. Datsko, Ye. K. Malynovskij

Odesa State Academy of Refrigeration,
1/3 Dvorianska St., Odesa, UA–65026, Ukraine,
e-mail: valtar@paco.net

We have calculated the pressure of the liquid metallic hydrogen. The whole consideration is based on a nearly free electrons model. The series of perturbation theory over degrees of an electron-proton interaction is used for calculation of thermodynamic potentials of metallic hydrogen. The electron subsystem was considered in the random phase approximation with the exchange interaction and the correlations in the local field approximation taken into account. A proton-proton interaction is taken into account in the hard sphere approximation. As for the metallic hydrogen the electron-proton interaction is known precisely, for fixed temperature and density the unique parameter of the theory is the hard sphere diameter. For its determination the effective pair proton-proton interaction was used. For numerical calculations the zeroth, second and third members of the series of perturbation theory on an electron-proton interaction were taken into account. The third-order contribution on an electron-proton interaction for pressure is essential, but it is significantly smaller than the second-order one in all the investigated temperatures and density range. This range is characteristic as for experiments on deriving metallic hydrogen in laboratory conditions, as well for gas giant planets of the Solar system. The pressure has appeared to be monotonically growing function of temperature and density at all investigated temperatures and densities. The comparative analysis of perturbation theory series behavior for an electrical resistivity is executed too. The pressure significances obtained by us for temperatures and densities, characteristic for conditions of metal hydrogen deriving, are quite close to significances indicated by the authors of metallic hydrogen discovery.

PACS number(s): 64.10.+h, 65.50.+m, 71.15.Nc, 71.10.+x

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