Ferroelectric particles described by the transverse Ising model

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