Magnetoelectricity in two-dimensional statistical mixtures

The concentration and frequency dependences of the effective physical constants are investigated for two-dimensional “ferrite-piezoelectric ceramic” composites in the form of a statistical mixture in which the components are randomly arranged elongated cylinders with a circular cross section and axes identically oriented in the z direction. The effective physical constants are calculated using the self-consistent effective-medium method. It is revealed that the concentration dependences of the magnetoelectric permeability and the permittivity exhibit a nonmonotonic behavior, whereas the corresponding dependences of the piezomagnetic and piezoelectric moduli are monotonic in character. A deep non-Debye relaxation of the piezomagnetic and piezoelectric coefficients is observed for some concentration of components.