Polytropic representation of the kinetic pressure tensor of non-ideal magnetized fluids in equilibrium toroidal structures

Non-ideal fluids are generally subject to the occurrence of non-isotropic pressure tensors, whose determination is fundamental in order characterize their dynamical and thermodynamical properties. This requires implementation theoretical frameworks provided by appropriate microscopic statistical kinetic approaches terms which continuum fluid fields obtained. In this paper, case non-relativistic magnetized forming equilibrium toroidal structures external gravitational considered. Analytical solutions for distribution function explicitly constructed, be represented a Chapman–Enskog expansion around Maxwellian equilibrium. way, different physical mechanisms responsible generation pressures identified proved associated with constraints imposed on single collective particle dynamics phase-space symmetries magnetic field. As major outcome, validity polytropic representation tensors corresponding each source anisotropy established, whereby directional exhibit specific power-law functional dependence density. The astrophysical relevance solution understanding plasma properties accretion-disk environments discussed.