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ON THE BROWNIAN MOVEMENT OF A ROTATOR AND ITS APPLICATION TO NONLINEAR DIELECTRIC RELAXATION

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

Citation

Coffey, W.T., Rybarschry, C. and SCHRÖER, W. (1983), "ON THE BROWNIAN MOVEMENT OF A ROTATOR AND ITS APPLICATION TO NONLINEAR DIELECTRIC RELAXATION", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 2 No. 1, pp. 9-21. https://doi.org/10.1108/eb051971

Publisher

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MCB UP Ltd

Copyright © 1983, MCB UP Limited

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