Anomalous dielectric relaxation in the context of the Debye model of noninertial rotational diffusion

The Debye theory of dielectric relaxation of an assembly of polar molecules is reformulated using a fractional noninertial Fokker–Planck equation for the purpose of extending that theory to explain anomalous dielectric relaxation. The fractional Fourier–Planck equation in question is a generalizatio...

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Bibliographic Details
Published in:The Journal of chemical physics 2002-04, Vol.116 (15), p.6422-6426
Main Authors: Coffey, W. T., Kalmykov, Yu. P., Titov, S. V.
Format: Article
Language:English
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Summary:The Debye theory of dielectric relaxation of an assembly of polar molecules is reformulated using a fractional noninertial Fokker–Planck equation for the purpose of extending that theory to explain anomalous dielectric relaxation. The fractional Fourier–Planck equation in question is a generalization of the Smoluchowski equation for the dynamics of Brownian particles in configuration space to include anomalous relaxation. It is shown that this model can reproduce nonexponential Cole–Cole-type anomalous dielectric relaxation behavior and that it reduces to the classical Debye model of rotational diffusion when the anomalous exponent is unity.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.1460860