Physics – Condensed Matter
Scientific paper
Jun 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991apj...374..652a&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 374, June 20, 1991, p. 652-667. Research supported by John Simon Guggenheim
Physics
Condensed Matter
44
Condensed Matter Physics, Coulomb Potential, Electron Gas, Equations Of State, Neutron Stars, Stellar Magnetic Fields, Hydrostatics, Statistical Analysis
Scientific paper
The equation of state for condensed matter in a strong magnetic field is constructed. The regime for which statistical models and spherical Wigner-Seitz lattice cells are valid approximations is treated. The equation of state for a free nonrelativistic homogeneous electron gas in a uniform magnetic field is examined as a function of temperature, after which this treatment is refined by incorporating Coulomb interactions in a magnetic Thomas-Fermi model which allows for finite temperature. Gradient corrections to the zero-temperature equation of state are then evaluated by constructing a magnetic Thomas-Fermi-Dirac-Weizsaecker model, these corrections having a considerable effect on the zero-pressure density for matter in strong magnetic fields. Finally, the hydrostatic equilibrium equation for the surface structure of a neutron star is integrated using the presently computed equations of state.
Abrahams Andrew M.
Shapiro Stuart L.
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