This paper sums up studies on low-frequency relaxation processes that
involve several macroheterogeneities and critical points, the existenc
e of thermodynamically stable microheterogeneities, associated critica
l points of micelle formation, structural phase transitions, and phase
transitions traceable to an anomalous increase in the mobility of ion
s in superionic crystals. A detailed description is given of precision
low-frequency techniques, their evolution, and capabilities as tools
of research on a wide range of objects, including multicomponent segre
gating and nonsegregating liquid solutions, micelle-forming solutions,
and superionic solid conductors.