Dielectric polarization evolution equations and relaxation times

Phys Rev E Stat Nonlin Soft Matter Phys. 2007 May;75(5 Pt 2):056612. doi: 10.1103/PhysRevE.75.056612. Epub 2007 May 25.

Abstract

In this paper we develop dielectric polarization evolution equations, and the resulting frequency-domain expressions, and relationships for the resulting frequency dependent relaxation times. The model is based on a previously developed equation that was derived using statistical-mechanical theory. We extract relaxation times from dielectric data and give illustrative examples for the harmonic oscillator and derive expressions for the frequency-dependent relaxation times and a time-domain integrodifferential equation for the Cole-Davidson model.