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Article
Publication date: 1 January 1983

W.T. Coffey, C. Rybarschry and W. SCHRÖER

The Debye theory of dielectric relaxation as corrected for inertial effects has as yet been only considered in the linear approximation. There, the rise and decay transients are…

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Abstract

The Debye theory of dielectric relaxation as corrected for inertial effects has as yet been only considered in the linear approximation. There, the rise and decay transients are identical. Here a method recently developed for the treatment of a rotator in a periodic potential is applied to calculate the transient behaviour when the linear approximation is discarded. The Kramers equation for the problem is expanded in a set of orthogonal functions which lead to a set of linear differential difference equations giving the relaxation behaviour. It is shown that the Mori formalism for the problem leads to the same set of differential difference equations as the Kramers equation.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 2 no. 1
Type: Research Article
ISSN: 0332-1649

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