The state of a static spherically symmetric relativistic axionically active
multi-component plasma in the gravitational, magnetic and electric fields of an
axionic dyon is studied in the framework of the Einstein - Maxwell - Boltzmann
- axion theory. We assume that the equations of axion electrodynamics, the
covariant relativistic kinetic equations, and the equation for the axion field
with modified Higgs-type potential are nonlinearly coupled; the gravitational
field in the dyon exterior is assumed to be fixed and to be of the
Reissner-Nordstr"om type. We introduce the extended Lorentz force, which acts
on the particles in the axionically active plasma, and analyze the consequences
of this generalization. The analysis of exact solutions, obtained in the
framework of this model for the relativistic Boltzmann electron-ion and
electron-positron plasmas, as well as, for degenerated zero-temperature
electron gas, shows that the phenomena of polarization and stratification can
appear in plasma, attracting attention to the axionic analog of the known
Pannekoek-Rosseland effect.