Inertial effects in anomalous dielectric relaxation
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2002Citation:
Coffey, W.T., Kalmykov, Yu.P., Titov, S.V., 'Inertial effects in anomalous dielectric relaxation' in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 65, 3, (2002), pp 032102-1 - 032102-4Download Item:
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 ?(?) for an assembly of fixed axis rotators is given. The high-frequency behavior of ?(?) 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.
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American Physical SocietyType of material:
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Physical Review E - Statistical, Nonlinear, and Soft Matter Physics65
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