Ferroelectric particles described by the transverse Ising model

Abstract
The size effect in ferroelectric particles is studied within the framework of the transverse Ising model. The range and anisotropy of pseudo-spin interactions are important factors affecting the finite size behavior. For a given ferroelectric, a long force range corresponds to a smaller polarization, a lower Tc and a larger critical size. Due to the anisotropy of the interaction, the polarization distribution is ellipsoidal with the long axis in the polar direction