Local Gradient Theory for Dielectrics

Local Gradient Theory for Dielectrics

Fundamentals and Applications

by Olha Hrytsyna and Vasyl Kondrat

“This book provides a new higher-grade theory of mechano-thermo-electromagnetic processes in polarizing non-ferromagnetic media. The theory is based on taking account of the mass flux of non-diffusive and non-convective origin associated with the changes in the material microstructure. The book is well structured. In the first part, important generalizations of the theory of dielectrics have been made. In the second one, the authors have obtained a number of interesting practical results. Ideas formulated in the book can be developed and implemented in a study of the behavior of other practically important materials, including solid solutions, viscous liquids, etc. Presented results will be of major interest for students, beginning researchers, and experts working in the fields of material sciences and nonlocal continuum physics.”

Prof. Yevhen Chaplya, Kazimierz Wielki University, Poland
  • Format: Hardcover
  • ISBN: 9789814800624
  • Subject: Condensed Matter Physics
  • Published: January 2020
  • Pages: 311

Devoted to the development of a local gradient theory of dielectrics, this book begins with a brief description of the known approaches to the construction of generalized (integral- and gradient-type) continuum theories. It then presents a new continuum-thermodynamic approach for constructing the nonlinear local gradient theory of thermoelastic and non-ferromagnetic polarized media. This approach considers non-diffusive and non-convective mass fluxes associated with changes in material microstructure. Within the linear approximation, the theory has been applied to study the transition modes of the formation of near-surface inhomogeneity of coupled fields in solids, disjoining pressure in thin films, etc. The theory describes a number of observable phenomena that cannot be explained within the classical theory of dielectrics, including the surface, size, piezoelectric, pyroelectric, and thermopolarization effects in centrosymmetric crystals; Mead’s anomaly; and high-frequency dispersion of elastic waves.