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On the Role of Inertial Effects and Dipole-Dipole Coupling in the Theory of the Debye and Far-Infrared Absorption of Polar Fluids

W. T. Coffey, P. M. Corcoran and M. W. Evans
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 410, No. 1838 (Mar. 9, 1987), pp. 61-88
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2398280
Page Count: 28
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On the Role of Inertial Effects and Dipole-Dipole Coupling in the Theory of the Debye and Far-Infrared Absorption of Polar Fluids
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Abstract

The theory of dielectric relaxation of an assembly of molecules containing rotating polar groups, originally developed by Budó, is extended to include inertial effects. It is shown that the inclusion of these effects gives rise to a resonance absorption in the far infrared band of frequencies. To obtain analytical formulae for the polarizability and the absorption coefficient the system is first treated in the harmonic approximation. Nonlinear effects are then taken account of by using the averaging method of Krylov and Bogoliubov. Inclusion of these effects indicates that the frequency of maximum far-infrared power absorption should decrease as the temperature increases in qualitative agreement with experimental findings. Also the nonlinear effects cause the angularvelocity correlation functions to become less oscillatory as temperature is increased. The present treatment gives rise to equations that in the harmonic approximation are formally similar to those of the itinerant oscillator model.

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