Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...414..695c&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 414, no. 2, p. 695-700.
Astronomy and Astrophysics
Astrophysics
49
Degenerate Matter, Quantum Theory, Thermodynamic Properties, White Dwarf Stars, Condensed Matter Physics, Cooling Flows (Astrophysics), Crystallization, Debye Length, Equations Of State, Nuclear Astrophysics
Scientific paper
We examine the thermodynamic properties of dense degenerate objects near crystallization. A simple, analytical free energy model is derived, which is found to describe very accurately the properties of quantum objects. A generalized Lindeman criterion is used to derive the melting curve of charged bosons and fermions at finite temperature. Within this model, the melting curve of most dense astrophysical objects is found to be unaffected by quantum effects, but the most massive objects are shown to undergo a Debye-cooling regime long before crystalization sets in.
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