Model Calculations of Cooperative Motions in Chain Molecules

This article describes model calculations of the so-called “perpendicular mode” of dielectric relaxation in chain molecules. Particular emphasis is given to cooperative interactions between adjacent chain elements. An extension of Glauber's model for the time-dependent statistics of the Ising chain is used for the purpose. A closed-form expression is given for the dielectric relaxation of an isolated dipolar element in an infinite ring. The influence of chain length and variable mobility along the chain upon dielectric relaxation is also described.