Physics
Scientific paper
Oct 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...309..628i&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 309, Oct. 15, 1986, p. 628-632.
Physics
4
Electron Gas, Fermions, Magnetic Effects, Stellar Magnetic Fields, Stellar Physics, Thermodynamics, Adiabatic Conditions, Electrostatics, Gas Pressure, Ideal Fluids
Scientific paper
The exact equations of state of a nonrelativistic degnerate ideal electron gas in an intense magnetic field are considered, and it is shown that its adiabatic index Gamma oscillates between 0 and a value just over 5/3 as a function of a given variable. Gamma reaches the critical points 0 when the variable = integer, corresponding to the filling of a Landau level. It is thus analogous to the de Haas-van Alphen effect, the normal quantized Hall effect, and magnetic domain formation. Corrections for a real gas, which could lead to Gamma less than 0 and mechanical stability breakdown, are considered qualitatively. In particular, an average index, valid in stars due to nonnegligible Newtonian self-gravition, suggest the possibility of observing this effect in astrophysical objects dominated by degenerate electrons in intense enough magnetic fields.
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