Equation of State in a Strong Magnetic Field: Finite Temperature and Gradient Corrections
Abstract
The equation of state for condensed matter in a strong magnetic field is constructed. The regime for which statistical models and spherical WignerSeitz 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 ThomasFermi model which allows for finite temperature. Gradient corrections to the zerotemperature equation of state are then evaluated by constructing a magnetic ThomasFermiDiracWeizsaecker model, these corrections having a considerable effect on the zeropressure 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.
 Publication:

The Astrophysical Journal
 Pub Date:
 June 1991
 DOI:
 10.1086/170151
 Bibcode:
 1991ApJ...374..652A
 Keywords:

 Condensed Matter Physics;
 Coulomb Potential;
 Electron Gas;
 Equations Of State;
 Neutron Stars;
 Stellar Magnetic Fields;
 Hydrostatics;
 Statistical Analysis;
 Astrophysics;
 DENSE MATTER;
 EQUATION OF STATE;
 STARS: MAGNETIC;
 STARS: NEUTRON