PMID: 11909125Mar 23, 2002Paper

Inertial effects in anomalous dielectric relaxation

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
William T CoffeySergey V Titov

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.

Citations

Oct 16, 2018·Physical Chemistry Chemical Physics : PCCP·Keiichiro ShiragaYuichi Ogawa
Feb 15, 2006·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Jan JadżynJean-Louis Déjardin
Mar 21, 2008·Physical Review Letters·S Burov, E Barkai
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S Burov, E Barkai
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·William T CoffeySergey V Titov
May 24, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·W A B EvansG Rickayzen
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sergey V TitovWilliam T Coffey
Mar 10, 2012·Physical Review Letters·Satadeep BhattacharjeeJonas Fransson
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·W T CoffeyS V Titov
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yuri P KalmykovSergey V Titov
Apr 14, 2005·Chemical Reviews·Gregg S KottasJosef Michl

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