An Ising Model Analysis of Dielectric Polarization. I. Analysis for the Dielectric Response of Infinite and Finite Dipolar Chains in Dielectrics

An analysis of the dielectric polarization for a model system consisting of a one‐dimensional chain of dipoles with nearest neighbour interaction only is presented. In this model, each dipole is assumed to have two components: One is normally oriented between two localized states in a plane perpendicular to the chain axis, while the other is oriented along the chain. The model further presumes that the reorientation probability of any dipole located on the site chain has a time‐dependent parameter, depending at any instant upon the momentary orientation of neighbouring dipoles. Glauber's time‐dependent Ising model formalism is applied to this situation. It is shown that the decay function of a single dipole located in either an infinite or a finite chain results in a non‐Debye‐type form, due to the many‐body nature of the induced molecular moments.