Abstract
A phenomenological theory of the electro-optical properties of isotropic melts in the vicinity of the isotropic to anti-ferroelectric B2 phase transition in banana shaped molecules is developed. The temperature and frequency dependence of the nonlinear dielectric effect in the isotropic phase above the isotropic to anti-ferroelectric B2 phase transition is calculated. We find the analytical expressions for the Kerr constant and the nonlinear dielectric effect in the isotropic phase above the isotropic to anti-ferroelectric B2 phase transition. The electrically induced pretransitional effects follow the classical 1/(T-T∗) behavior. The possible theoretical phase diagrams of the Kerr effect and the nonlinear dielectric effect are studied.
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