## Abstract

We construct the equation of state for condensed matter in a strong magnetic field. We treat the regime for which statistical models and spherical Wigner-Seitz lattice cells are valid approximations. First, the equation of state for a free, nonrelativistic, homogeneous electron gas in a uniform magnetic field is examined as a function of temperature. This treatment is then refined by incorporating Coulomb interactions in a magnetic Thomas-Fermi model which allows for finite temperature. This model is characterized by four distinct length scales: the Bohr radius a_{0}, the cyclotron radius r_{cyc}, the thermal de Broglie wavelength λ_{T}, and the lattice cell radius r_{0}. Gradient corrections to the zero-temperature equation of state are next evaluated by constructing a magnetic Thomas-Fermi-Dirac-Weizsäcker model. These corrections have a considerable effect on the zero-pressure density for matter in strong magnetic fields. Finally, we integrate the hydrostatic equilibrium equation for the surface structure of a neutron star using our computed equations of state.

Original language | English (US) |
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Pages (from-to) | 652-667 |

Number of pages | 16 |

Journal | Astrophysical Journal |

Volume | 374 |

Issue number | 2 |

DOIs | |

State | Published - Jun 20 1991 |

Externally published | Yes |

## Keywords

- Dense matter
- Equation of state
- Stars: magnetic
- Stars: neutron

## ASJC Scopus subject areas

- Astronomy and Astrophysics
- Space and Planetary Science