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On Chern-Simons corrections to magnetohydrodynamics equations
We study the effect of a (3+1)-dimensional Chern-Simons electrodynamics on
the equations governing the dynamics of magnetized plasma and fields. In this
model, the Chern-Simons (CS) part consists of a dynamical pseudo-scalar field
whose space-time derivatives couple with the electromagnetic field. We explore
the CS corrections to the evolution equation for the magnetic field in a plasma
with non-zero electrical resistivity. We revisit Cowling's theorem in this
context and observe that the CS corrections lead to possibly small but non-zero
source terms for axisymmetric magnetic field. The scalar product of electric
and magnetic fields play the role of source of the pseudo-scalar field, and
therefore, pulsars and magnetars are likely astrophysical candidates to
generate propagating pseudo-scalar waves. Although aligned electric field gets
shorted out by flowing charges in large parts of the magnetosphere, there are
vacuum gaps in the vicinity of pulsars where strong is
expected to be present. We derive a wave solution for the pseudo-scalar field
generated by the time-varying associated with a pulsar.Comment: 11 pages, to appear in Plasma Science and Technology (2010
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