Linear and Non-Linear Dielectric Responses of a Model Glass Former

Abstract

Exploiting a simple model for glass formers, we demonstrate that three characteristic temperatures, Vogel–Fulcher, glass transition and cross-over temperatures, can be determined from an analysis of the dielectric response. We define the relaxation time in three different ways and show that they diverge at different temperatures. From the analysis of linear and non-linear dielectric responses, we also show that the real part of the susceptibilities at the static limit becomes a cusp below the cross-over temperature and its curvature changes at the glass transition temperature.