Hostname: page-component-848d4c4894-xfwgj Total loading time: 0 Render date: 2024-06-30T14:01:05.687Z Has data issue: false hasContentIssue false
  • English
  • Français

Strongly Coupled Ionic Mixtures and the H/He EOS

Published online by Cambridge University Press:  12 April 2016

Hugh E. DcWitt
Hugh E. DcWitt*
Affiliation:
Lawrence Livermore National Laboratory, Livermore, CA 94550

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This paper summarizes recent work on the strongly coupled OCP and Binary Ionic Mixture equation of state and other thermodynamic quantities in white dwarf interior conditions for both fluid and solid phases with the assumption of a uniform background. Conditions for phase separation of different elements in fluid or solid phases is strongly dependent on deviations from the linear mixing rule which gives the equation of state as an additive function of the OCP equation of state. These deviations turn out to be small (a few parts in 105) and always positive including the case where the fraction of the higher Z component approaches 0. Also the equation of state of strongly coupled light elements (H and He particularly) obtained from simulations with a linear response description of the electrons is given for conditions appropriate to brown dwarf star interiors. Recent Livermore work on a band structure calculation of the enthalpy of H and He mixtures under jovian conditions is discussed. This work leads to a prediction of a high temperature (15000 °K) for miscibility of He in ionized H at 10 Mb.

Type
Reviews
Information
International Astronomical Union Colloquium , Volume 147: The Equation of State in Astrophysics , 1994 , pp. 330 - 346
Copyright
Copyright © Cambridge University Press 1994

References

1 Yakovlev, D.G. and Shalybkov, D.A., Sov. Sci. Rev.E. Astrophys. &Space Phys. Vol. 7, 311–386 (1989)Google Scholar
2 Chabrier, G., Ashcroft, N.W., DeWitt, H.E., Nature 360, 48 (5 Nov. 1992)Google Scholar
3 Hubbard, W.B. and DeWitt, H.E., Astrophysical J. 290, 388 (1985)Google Scholar
4 Saumon, D. and Chabrier, G., Phys.Rev. A46, 2084 (1992): Phys.Rev.A44. 5122 (1991)Google Scholar
5 Klepeis, J.E., Schafer, K.J., Barbee, T.W. III, Ross, M., Science 254, 986 (15 Nov., 1991)Google Scholar
6 Saumon, D., Hubbard, W.B., Chabrier, G., VanHorn, H.M., Astrophysical J. 391, 327 (1992)Google Scholar
7 Chabrier, G., Saumon, D.. Hubbard, W.B., and Lunine, J.I., Astrophysical J. 391, 317 (1992)Google Scholar
8 Dubin, D.H.E., Phys. Rev. A42, 4972 (1990)Google Scholar
9 DeWitt, H.E., Slattery, W.L., Yang, J., Strongly Coupled Plasma Physics, ed.Van Horn, H.M. and Ichimaru, S., University of Rochester Press: Rochester, NY, p. 425 (1993)Google Scholar
10 Stringfellow, G.S., DeWitt, H.E., Slattery, W.L., Phys. Rev. A41, 1105 (1990)Google Scholar
11 Rosenfeld, Y., Proceedings of this Conference; Phys. Rev. A33, 2025 (1986); Phys. Rev. A37, 3403 (1988)Google Scholar
12 Slattery, W.L., Doolen, G.D., DeWitt, H.E., Phys. Rev. A26, 2255 (1982)Google Scholar
13 Ogata, S., Iyetomi, H., Ichimaru, S., Van Hom, H.M., Strongly Coupled Plasma Physics, ed. Van Horn, H.M. and Ichimaru, S., University of Rochester Press: Rochester, NY, p. 53 (1993)Google Scholar
14 Rosenfeld, Y., Phys. Rev. A46, 1059 (1992)Google Scholar
15 Slattery, W.L. and DeWitt, H.E., recent MC results at Los AlamosGoogle Scholar
16 Ogata, S., Iyetomi, H., and Ichimaru, S., Astrophys. J. 372, 259 (1991)CrossRefGoogle Scholar
17 Alastuey, A. and Jancovici, B., Astrophys.J 226, 1034 (1978)CrossRefGoogle Scholar
18 Isem, J., proceedings of this ConferenceGoogle Scholar
19 Segretain, L. and Chabrier, G., Astron. Astrophys. 271, L13 (1993)Google Scholar
20 Chabrier, G. and Ashcroft, N.W., Phys. Rev. A42, 2284 (1990)Google Scholar
21 Iyetomi, H. and Ichimaru, S., Phys. Rev. A34, 3203 (1986)CrossRefGoogle Scholar
22 Hubbard, W.B. and DeWitt, H.E., Astrophys. J. 290, 388 (1985)CrossRefGoogle Scholar
23 Stevenson, D.J., phys. Rev. B12, 3999 (1975)CrossRefGoogle Scholar
24 Rosenfeld, Y, Phys. Rev. E47, 2676 (1993)Google Scholar
25 Kiepeis, J.E., Schafer, K.J., Barbee, T.W. III, Ross, M., Phase Separation in Mixtures of Hydrogen and Helium at Megabar Pressures, UCRL-JC-107995, July 1991. See also the brief report by the same authors in Strongly Coupled Plasma Physics, ed. Van Horn, H.M. and Ichimaru, S., University of Rochester Press: Rochester.NY, p. 73 (1993)Google Scholar