2021/03/04 by Damian Swift, Thomas Lockard, Swift, Damian C. +11
Earth and Planetary Sciences · Physics and Astronomy · #Astro and Planetary Science #Computational Physics (physics.comp-ph) #FOS: Physical sciences #High-pressure geophysics and materials #Materials Science (cond-mat.mtrl-sci) #Plasma Physics (physics.plasm-ph) #Solar and Stellar Astrophysics (astro-ph.SR) #Stellar, planetary, and galactic studies
paper · pdf · doi:10.48550/arxiv.2103.03371
openalex publication_date 2021/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Atom-in-jellium calculations of the electron states, and perturbative\ncalculations of the Einstein frequency, were used to construct equations of\nstate (EOS) from around 10-5 to 107g/cm3 and 10-4 to 106eV\nfor elements relevant to white dwarf (WD) stars. This is the widest range\nreported for self-consistent electronic shell structure calculations. Elements\nof the same ratio of atomic weight to atomic number were predicted to asymptote\nto the same T=0 isotherm, suggesting that, contrary to recent studies of the\ncrystallization of WDs, the amount of gravitational energy that could be\nreleased by separation of oxygen and carbon is small. A generalized Lindemann\ncriterion based on the amplitude of the ion-thermal oscillations calculated\nusing atom-in-jellium theory, previously used to extrapolate melt curves for\nmetals, was found to reproduce previous thermodynamic studies of the melt curve\nof the one component plasma with a choice of vibration amplitude consistent\nwith low pressure results. For elements for which low pressure melting\nsatisfies the same amplitude criterion, such as Al, this melt model thus gives\na likely estimate of the melt curve over the full range of normal electronic\nmatter; for the other elements, it provides a useful constraint on the melt\nlocus.\n