Spaces of states for heterophase systems

Abstract

By constructing the spaces of physical states and realizing their decomposition into mutually orthogonal subspaces, we show that our statistical theory of heterophase fluctuations 1), is applicable to a large class of systems exhibiting configurational and magnetic transitions. We demonstrate that this theory can describe not only transitions between a phase with a discrete symmetry and another phase with a continuous summetry, as in the case of a crystal-liquid transition of a ferromagnet-paramagnet one, but also transitions between phases, corresponding to point symmetry groups such as polymorphic transitions or reorientational magnetic transitions.