Equation of state in a strong magnetic field: Finite temperature and gradient corrections

Andrew M. Abrahams, Stuart L. Shapiro

Research output: Contribution to journalArticlepeer-review


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 a0, the cyclotron radius rcyc, the thermal de Broglie wavelength λT, and the lattice cell radius r0. 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 languageEnglish (US)
Pages (from-to)652-667
Number of pages16
JournalAstrophysical Journal
Issue number2
StatePublished - Jun 20 1991
Externally publishedYes


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

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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