  The equations of anomalous magnetohydrodynamics describe an Abelian plasma
where conduction and chiral currents are simultaneously present and constrained
by the second law of thermodynamics. At high frequencies the magnetic currents
play the leading role and the spectrum is dominated by two-fluid effects. The
system behaves instead as a single fluid in the low-frequency regime where the
vortical currents induce potentially large hypermagnetic fields. After deriving
the physical solutions of the generalized Appleton-Hartree equation, the
corresponding dispersion relations are scrutinized and compared with the
results valid for cold plasmas. Hypermagnetic knots and fluid vortices can be
concurrently present at very low frequencies and suggest a qualitatively
different dynamics of the hydromagnetic nonlinearities.
