Formation and rapid evolution of domain structure at phase transitions in slightly inhomogeneous ferroelectrics and ferroelastics

We present the analytical study of stability loss and evolution of domain structure in inhomogeneous ferroelectric (ferroelastic) samples for exactly solvable models. The model assumes a short-circuited ferroelectric capacitor (free ferroelastic) with two regions with slightly different critical temperatures T-c1>T-c2, where T-c1-T-c2