  We discuss the phenomena of symmetry non-restoration and inverse symmetry
breaking in the context of multi-scalar field theories at finite temperatures
and present its consequences for the relativistic Higgs-Kibble multi-field
sector as well as for a nonrelativistic model of hard core spheres. For
relativistic scalar field models, it has been shown previously that temperature
effects on the couplings do not alter, qualitatively, the phase transition
pattern. Here, we show that for the nonrelativistic analogue of these models
inverse symmetry breaking, as well as symmetry non-restoration, cannot take
place, at high temperatures, when the temperature dependence of the two-body
couplings is considered. However, the temperature behavior in the
nonrelativistic models allows for the appearance of reentrant phases.
