  The self-organization in a multi-ion plasma composed of electrons and two
species of positively charged ions is investigated. It is shown that when
canonical vorticities and velocities of all the plasma fluids are aligned, the
magnetic field self-organizes to Quadruple Beltrami state (superposition of
four Beltrami fields). The self-organized magnetic and velocity fields strongly
depend on the relative strengths of the generalized vorticities, flows, inertia
and densities of the plasma species. Thus, it is possible to generate a wide
variety of multiscale magnetic field and flow structures. It is also shown that
relaxed magnetic fields and velocities can vary on vastly different length
scales simultaneously and are coupled together through singular perturbation
generated by Hall effect. In this multi Beltrami self-organized states, then,
the dynamo mechanism emerges naturally. The scale separation also suggests the
heating of the plasma through a dissipative process. The work could be useful
to study the dynamics and morphology of the multiscale magnetic field
configurations in laboratory and astrophysical plasmas.
