Cold equation of state from Thomas-Fermi-Dirac-Weizsacker theory

Andrew M. Abrahams, Stuart L. Shapiro

Research output: Contribution to journalArticle

Abstract

The Thomas-Fermi-Dirac (TFD) electronic structure model with the Weizsacker gradient corrections (TFD-W) is employed to calculate the cold equation of state in the Wigner-Seitz spherical-cell approximation. We demonstrate how inclusion of the Weizsacker term removes many of the unphysical features of the TFD lattice model. Results are summarized for seven elements: C612, Mg1224, Fe2656, Ag47108, Au79197, Pb82207, and U92236. Our equation of state (computed using several values of the Weizsacker coupling coefficient) is compared with previous computations and with experimental data. The Weizsacker correction substantially improves the theoretical TFD equation of state at low densities. We also calculate low-mass, equilibrium stellar models constructed from the TFD-W equation of state for carbon. We find that for =1/9 the maximum radius of a carbon white dwarf star is R/R=3.9×10-2 at a mass M/M=2.3×10-3.

Original languageEnglish (US)
Pages (from-to)2530-2538
Number of pages9
JournalPhysical Review A
Volume42
Issue number5
DOIs
StatePublished - Jan 1 1990
Externally publishedYes

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equations of state
white dwarf stars
stellar models
carbon
Dirac equation
coupling coefficients
inclusions
electronic structure
gradients
radii
cells
approximation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Cold equation of state from Thomas-Fermi-Dirac-Weizsacker theory. / Abrahams, Andrew M.; Shapiro, Stuart L.

In: Physical Review A, Vol. 42, No. 5, 01.01.1990, p. 2530-2538.

Research output: Contribution to journalArticle

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N2 - The Thomas-Fermi-Dirac (TFD) electronic structure model with the Weizsacker gradient corrections (TFD-W) is employed to calculate the cold equation of state in the Wigner-Seitz spherical-cell approximation. We demonstrate how inclusion of the Weizsacker term removes many of the unphysical features of the TFD lattice model. Results are summarized for seven elements: C612, Mg1224, Fe2656, Ag47108, Au79197, Pb82207, and U92236. Our equation of state (computed using several values of the Weizsacker coupling coefficient) is compared with previous computations and with experimental data. The Weizsacker correction substantially improves the theoretical TFD equation of state at low densities. We also calculate low-mass, equilibrium stellar models constructed from the TFD-W equation of state for carbon. We find that for =1/9 the maximum radius of a carbon white dwarf star is R/R=3.9×10-2 at a mass M/M=2.3×10-3.

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