Abstract/Details

THEORETICAL PREDICTIONS FOR THE PHASE STABILITY OF DENSE BINARY MIXTURES (JUPITER, SATURN)


1983 1983

Other formats: Order a copy

Abstract (summary)

A new approach is developed for evaluating the mixing properties of binary solutions at high pressure. This involves solving Poisson's equation throughout three-dimensional cubic lattices, consistent with Thomas-Fermi-Dirac (TFD) theory. Zero temperature calculations are carried out for a variety of compositions and crystal structures in 3 pressure groups relevant to Jovian planetary interiors. Pseudopotentials based on the two-component-plasma model (with a uniform electron background) are fitted to the solid-state results, and are then used in liquid-state calculations using hard-sphere perturbation theory.

TFD results for H-He solutions find critical temperatures (above which all compositions are soluble) to be (TURN) 0, 500, and 1500(DEGREES)K at pressures of 10, 100, and 1000 Mbar, respectively. These temperatures are much lower than those obtained using free electron perturbation theory, where T(,crit) (TURN) 10,000(DEGREES)K at 10 Mbar. Thus, unlike the perturbation theory results, the TFD results predict that helium should be soluble in metallic hydrogen in the deep interiors of both Jupiter and Saturn, and our calculations give an indication of the degree of model-dependence in computing high pressure mixing properties. In addition, TFD calculations for H-C and H-O solutions find phase separation temperatures to be <(, )10('4)(DEGREES)K for pressures <(, )10('3) Mbar. These temperatures are considerably lower than those found assuming a uniform electron distribution (where T(,crit )>(, )10('5)(DEGREES)K), and suggest that H-C and H-O solutions should also be miscible in the metallic zones of Jupiter and Saturn.

Indexing (details)


Subject
Astronomy;
Astrophysics
Classification
0606: Astronomy
0606: Astrophysics
Identifier / keyword
Pure sciences
Title
THEORETICAL PREDICTIONS FOR THE PHASE STABILITY OF DENSE BINARY MIXTURES (JUPITER, SATURN)
Author
MACFARLANE, JOSEPH JOHN
Number of pages
89
Publication year
1983
Degree date
1983
School code
0009
Source
DAI-B 44/10, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
University/institution
The University of Arizona
University location
United States -- Arizona
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
8401268
ProQuest document ID
303113883
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/303113883
Access the complete full text

You can get the full text of this document if it is part of your institution's ProQuest subscription.

Try one of the following:

  • Connect to ProQuest through your library network and search for the document from there.
  • Request the document from your library.
  • Go to the ProQuest login page and enter a ProQuest or My Research username / password.