Inhibition of Degeneracy by Intense Magnetic Fields  Derivation and Astrophysical Application
Abstract
Strong magnetic fields inhibit degeneracy in Fermi gases, that is, they postpone degeneracy to higher densities or lower temperatures. We derive this principle, virtually unknown in the physical and astrophysical literature, for the case of an ideal Dirac electron gas. Its possible importance in astrophysics is due to the fact that the equations of state of Fermi gases at given density and temperature can be qualitatively changed by this degeneracyinhibition by strong fields. All astrophysical work with strong fields up to the present has used the fieldfree equations of state and the usual MHD approximation: permeability ≈1. Their interest was focussed on the effects of a strong Lorentz force term. We consider an application to hypothetical degenerate stellar objects with arbitrarily strong fields to see what effects the changed equations of state would lead to. One result is that the luminositytemperature relation of the star is changed: the luminosity is reduced for given mass and interior temperature.
 Publication:

Astrophysics and Space Science
 Pub Date:
 July 1987
 DOI:
 10.1007/BF00644464
 Bibcode:
 1987Ap&SS.135...87I
 Keywords:

 Computational Astrophysics;
 Cryogenic Fluids;
 Degeneration;
 Electron Gas;
 Magnetic Effects;
 Magnetic Fields;
 Equations Of State;
 Gas Density;
 Gas Temperature;
 Stellar Luminosity;
 Stellar Magnetic Fields;
 Stellar Mass;
 Astrophysics