Dimensional effects in phase transitions and physical properties of ferroics

Abstract

The monograph presents mathematical methods and a set of mathematical models describing, within the framework of phenomenological theory, phase transitions in 0D-. 1D-, 2D-, 3D-dimensional ferroelectrics, ferroelastics, ferromagnets and their static and dynamic physical properties near the phase transition point. The influence of the parameters characterizing the ferroic sample and its interaction with the environment on the features of the phase transition, phase transition temperature shift, heat capacity, generalized susceptibilities is analyzed. Mathematical models of multilayer thin-film structures and composite materials, where one of the components is a ferroic nanoparticle, are considered. In general, modern ideas about dimensional effects in ferroelectrics, ferroelastics, ferromagnets and mechanisms of purposeful influence on their properties are sufficiently fully covered. It is intended for researchers, students and postgraduates of physical specialties of universities interested in fundamental problems of formation of physical properties of low-dimensional materials. Research engineers, developers of new materials can use the presented material as a scientific and methodological basis to support the development of optimal solutions for their creation.