Fluid-solid coexistence curve of dense Coulombic matter

Astronomy and Astrophysics – Astrophysics

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Astrophysics, Bosons, Fermions, Fluids, Solids, Crystallography, Degenerate Matter, Melting, White Dwarf Stars

Scientific paper

The fluid-solid coexistence curve in the phase diagram of a system of charged bosons and fermions in a uniform and rigid neutralizing background, such as is typical of degenerate stellar matter, is investigated for temperatures down to 0 K. The critical Lindemann ratios for bosons (0.28) and fermions (0.31) are assumed to differ significantly from the classical limit (0.165) due to the effects of the quanticity parameter. The coexistence curve is constructed by calculating Lindemann ratios using a harmonic approximation of the frequency spectrum and considering melting to occur when the Lindemann ratio reaches the critical value. The calculated curve reveals a maximum temperature of stability of the solid which is ten times greater than previously estimated, and a greater temperature and density range of solid stability for fermions than for bosons. Implications of the curve for the solidity of degenerate stars are discussed.

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