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Journal of Physics A Mathematical and General

Magnetic susceptibility of relativistic Fermi gas

Eugene M. Chudnovsky

Published Aug 1, 1981• 8 citations
Publisher

Abstract

The magnetic susceptibility of a degenerate relativistic Fermi gas is obtained for charged fermions with anomalous magnetic moments. Magnetic properties of the relativistic Fermi gas are of interest because degenerate relativistic electrons and nucleons form white dwarfs and neutron stars.
DOI
10.1088/0305-4470/14/8/030

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We discuss the bosonization of a relativistic very dense Fermi gas in a magnetic field and the consequent Bose–Einstein condensation of the resulting relativistic vector gas of charged particles. The model may be applied to paired spin-up electrons. We show that such systems may maintain self-consistently magnetic fields of order 10 10 −10 13 G. That pairing could be the origin of large magnetic fields in some white dwarfs and neutron stars. For fields large enough (~10 13 for white dwarfs), the system becomes unstable and collapses.
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