  In a two-ion-species plasma with disparate ion masses, heavy ions tend to
concentrate in the low-temperature region of collisionally magnetized plasma
and in the high-temperature region of collisionally unmagnetized plasma,
respectively. Moreover, collisional magnetization can be determined as the
ratio of the light ion gyrofrequency to the collision frequency of light and
heavy ion species, and the behavior of this effect in the intermediate regime
of partially magnetized plasma is predominantly dependent on this Hall
parameter. Multi-ion cross-field transport has been described before in the
collisionally magnetized plasma regime, and generalized pinch relations, which
describe densities of ion species in equilibrium in that plasma, are found in
the literature. In this paper, the role of collisional magnetization and Larmor
magnetization in multi-ion collisional transport is clarified and generalized
pinch relations are extended to the partially magnetized regime, in which the
ion Hall parameter may be small, as long as electrons remain collisionally
magnetized. Equilibrium ion density profiles have the same dependence on
external forces and on each other regardless of collisional magnetization of
ions. The expansion of the range of validity of multi-ion collisional transport
models makes them applicable to a wider range of laboratory plasma conditions.
In particular, ion density profiles evolve sufficiently fast for radial
impurity transport to be observable around stagnation on MagLIF, leading to
expulsion of heavy ion impurities from the hotspot as long as plasma becomes
sufficiently collisionally magnetized during the implosion.
