Authors
WT Coffey, Yu P Kalmykov, SV Titov
Publication date
2002/4/15
Journal
The Journal of chemical physics
Volume
116
Issue
15
Pages
6422-6426
Publisher
American Institute of Physics
Description
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.
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WT Coffey, YP Kalmykov, SV Titov - The Journal of chemical physics, 2002