Thermodynamic basis for dielectric relaxation in complex materials

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Abstract
Using the formalism of extended irreversible thermodynamics we study the time rate of change of the polarization vector in an arbitrary isotropic material. The corresponding time evolution equation is derived as well as its relationship with other relevant quantities in the system such as the heat flux. From these equations a polarization equilibrium correlation function is derived and the complex dielectric constant is also analyzed. We show how these quantities are related to those that have been obtained by several methods, some empirical and others based on microscopic models. Also the corresponding memory functions are obtained and shown to be exponentially decaying in time.

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