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Abstract
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In this paper, we use quantum magnet ohydrodynami c as well as magnetohydrostat ic (MHS)
models for a zero-temperature Fermi-Dirac plasma to s how the fundamental role of Landau orbital
ferromagnetism (LOFER) on the magnetohydrostat ic stability of compact stars. It is revealed that
the generalized flux-conserv ed equation of state of form B ¼ bq2s =3 only with conditions 0 s 1
and 0 b <
ffiffiffiffiffiffi
p2 p can lead to a stable compact stellar configuration. The distinct critical value
bcr ¼
ffiffiffiffiffiffi
p2 p is shown to affect the magnetohydrostatic stability of the LOFER (s ¼ 1) state and the
magnetic field strength limit on the compact stellar configuration. Furthermore, the value of the
parameter b is remarked to fundamentally alter the Chandrasekhar mass-radius relation and the
known mass-limit on white dwarfs when the star is in LOFER state. Current findings can help to
understand the role of flux-frozen ferromagnetism and its fundamental role on hydrostatic stability
of relativistically degenerate super-dense plasmas such as white dwarfs.
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