Time-variance of interacting dipole systems

In a previous paper we performed numerical calculations of transient polarization relaxations for an interacting system of statistically distributed permanent dipoles. These simulations in the time-domain showed the typical Kohlrausch relaxation law. Now the relaxating system is tested for time-invariance. Using the dependencies of the dielectric circle integral transformations between time domain and frequency domain are carried out and are compared to our Monte Carlo simulations. The following simulation of the field reversal experiment based on the superposition principle for the polarization or rather current density demonstrates an alternative of testing a system for the properties of linearity and time-invariance. The interacting systems exhibit a time-variant character. In this paper we focus on the small signal response after applying a step function of the electric field. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.