title: Inertial effects in anomalous dielectric relaxation.
abstract: The inertia corrected Debye model of rotational Brownian motion of polar molecules is generalized to fractional dynamics (anomalous diffusion) in the context of the fractional Klein-Kramers equation. The fractal generalization of the Gross-Sack solution for the complex dielectric susceptibility chi(omega) for an assembly of fixed axis rotators is given. The high-frequency behavior of chi(omega) is controlled by the inertia of a dipole as in normal diffusion, so that the Gordon sum rule for dipolar absorption is satisfied ensuring a return to optical transparency at very high frequencies.
authors.affiliation: Department of Electronic and Electrical Engineering, School of Engineering, Trinity College, Dublin 2, Ireland.
authors.forename: W T
authors.initials: WT
authors.lastname: Coffey
authors.forename: Yu P
authors.initials: YP
authors.lastname: Kalmykov
authors.forename: S V
authors.initials: SV
authors.lastname: Titov