### 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 language | English (US) |
---|---|

Pages (from-to) | 2530-2538 |

Number of pages | 9 |

Journal | Physical Review A |

Volume | 42 |

Issue number | 5 |

DOIs | |

State | Published - Jan 1 1990 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*42*(5), 2530-2538. https://doi.org/10.1103/PhysRevA.42.2530

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

Research output: Contribution to journal › Article

*Physical Review A*, vol. 42, no. 5, pp. 2530-2538. https://doi.org/10.1103/PhysRevA.42.2530

}

TY - JOUR

T1 - Cold equation of state from Thomas-Fermi-Dirac-Weizsacker theory

AU - Abrahams, Andrew M.

AU - Shapiro, Stuart L.

PY - 1990/1/1

Y1 - 1990/1/1

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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0013399563&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0013399563&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.42.2530

DO - 10.1103/PhysRevA.42.2530

M3 - Article

AN - SCOPUS:0013399563

VL - 42

SP - 2530

EP - 2538

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 5

ER -