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Thermodynamics and phase separation of dense fully ionized hydrogen-helium fluid mixtures

Stevenson, D. J. (1975) Thermodynamics and phase separation of dense fully ionized hydrogen-helium fluid mixtures. Physical Review B, 12 (10). pp. 3999-4007. ISSN 0163-1829 . http://resolver.caltech.edu/CaltechAUTHORS:20130612-085813697

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Abstract

The free energy of a hydrogen-helium fluid mixture is evaluated for the temperatures and densities appropriate to the deep interior of a giant planet such as Jupiter. The electrons are assumed to be fully pressure ionized and degenerate. In this regime, an appropriate first approximation to the ionic distribution functions can be found by assuming hard-sphere interactions. Corrections to this approximation are incorporated by means of the perturbation theory of Anderson and Chandler. Approximations for the three-body interactions and the nonlinear response of the electron gas to the ions are included. We predict that a hydrogen-helium mixture, containing 10% by number of helium ions, separates into hydrogen-rich and helium-rich phases below about 8000°K, at the pressures relevant to Jupiter (4-40 Mbar). We also predict that the alloy occupies less volume per ion than the separated phases. The equation of state and other thermodynamic derivatives are tabulated. The implications of these results are mentioned.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.12.3999DOIArticle
http://link.aps.org/doi/10.1103/PhysRevB.12.3999PublisherArticle
ORCID:
AuthorORCID
Stevenson, D. J.0000-0001-9432-7159
Additional Information:© 1975 American Physical Society. Received 10 February 1975. Supported by the National Aeronautics and Space Administration Grant No. NGR-33-010-188 and the National Science Foundation Grant No. MPS 74-17838.
Funders:
Funding AgencyGrant Number
NASANGR-33-010-188
NSFMPS 74-17838
Record Number:CaltechAUTHORS:20130612-085813697
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130612-085813697
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38903
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:12 Jun 2013 22:02
Last Modified:24 Nov 2015 21:16

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