  A thermally relativistic electron-positron-ion (EPI) plasma self-organizes
into a quadruple Beltrami (QB) field. The QB field, which is the combination of
four Beltrami fields, is described by four scale parameters. These scale
parameters are often either real or both real and complex in nature. The values
of the scale parameters are determined by Beltrami parameters, relativistic
temperatures, and the densities of plasma species. It is demonstrated that all
the scale parameters become real at higher relativistic temperatures and ion
densities, which naturally lead to paramagnetic structures. It is also shown
that the scale separation in the QB state provides the possibility of field and
flow generation in such thermally relativistic plasmas. The present study may
have implications for space, astrophysical and laboratory plasmas.
