Probabilistic basis for the Cole-Cole relaxation law

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Abstract
Dielectric dispersion studies of real ferroelectric crystals in the phase transition region indicate a deviation from the Debye response of pure crystals. In this paper the question of the origins of this deviation is addressed in terms of a probabilistic approach. An effort to understand the relaxation mechanism underlying the universally valid Cole-Cole response is undertaken. A model of relaxation as a self-similar process directly related to the fractal geometry of ferroelectric systems is proposed.

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