Physics – Geophysics
Scientific paper
Apr 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980pepi...22...42s&link_type=abstract
Physics of the Earth and Planetary Interiors, vol. 22, Apr. 1980, p. 42-52.
Physics
Geophysics
14
Earth Core, Fluid Mechanics, Geophysics, Liquid Phases, Mathematical Models, Thermodynamics, Atomic Mobilities, High Pressure, Incompressibility, Melting Points, Seismology, Specific Heat
Scientific paper
New results derived for application to the earth's outer core using the modern theory of liquids and the hard-sphere model of liquid structure are presented. An expression derived in terms of the incompressibility and pressure is valid for a high-pressure liquid near its melting point, provided that the pressure is derived from a strongly repulsive pair potential; a relation derived between the melting point and density leads to a melting curve law of essentially the same form as Lindemann's law. Finally, it is shown that the 'core paradox' of Higgins and Kennedy (1971) can occur only if the Gruneisen parameter is smaller than 2/3, and this constant is larger than this value in any liquid for which the pair potential is strongly repulsive.
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