THE FERROELECTRIC PHASE-TRANSITION IN SMALL SPHERICAL-PARTICLES

The ferroelectric phase transition in a small particle depends on its size. Analytical results concerning the size dependence of the transit ion temperature, and the polarization profile in the ferroelectric pha se have been obtained within a phenomenological model, which has been previously studied only numerically. The model does not take into cons ideration the depolarization held, assuming full compensation of surfa ce charges. The dynamic susceptibility deviates from Debye-like behavi our in exhibiting a broadening at higher frequencies. The static susce ptibility obeys the Curie-Weiss law, and exhibits a similar divergency at the point of the size-driven transition.