Abstract
A simple dynamic model with a fractional time derivative is considered for conducting polymers. The elementary theory of electrical conduction is developed using the fractional equation of motion. In the framework of the model under consideration, the relaxation of the velocity of charge carriers is described by the Mittag-Leffler function. A kinetic equation with the fractional derivative is derived. The electrical conductivity is calculated to a first approximation with the use of the derived kinetic equation. It is demonstrated that the spectral characteristic of non-steady-state current fluctuations in a polymer should be proportional to 1/f.
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