Stability of a degenerate electron plasma in a strong magnetic field

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Degenerate Matter, Electron Plasma, Gravitational Collapse, Magnetohydrodynamic Stability, Plasma Density, Equations Of State, Magnetic Fields, Neutron Stars, Perturbation Theory, Pulsars

Scientific paper

The stability of a degenerate electron plasma in a very strong magnetic field is investigated for the two limiting density regimes in which the equation of state derived by Canuto and Chiu (1968) for such a plasma can be approximated by analytical expressions. The equations for the growth rates of a perturbation are derived from the dispersion relations obtained by Canuto and Chou (1973). Numerical results are presented which show that a degenerate plasma satisfying the Canuto-Chiu equation of state is stable to small perturbations in the high-density regime, but is unstable in the low-density regime. It is concluded that a neutron star consisting of matter with a density of less than about 1 million g/cu cm in the presence of a strong magnetic field may be initially stable when it is hot, but instability would set in as it cools.

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