On the existence of far-infrared absorption peaks in the complex polarizability of the itinerant oscillator model of polar fluids

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Abstract
The complex polarizability of the itinerant oscillator model in the case where the stochastic torques are weak in comparison with the deterministic ones may be evaluated analytically in terms of a series involving the modified Bessel functions. This clearly shows the existence of a harmonic peak structure at high frequencies. In the case where the stochastic torques are significant the complex polarizability may not easily be evaluated analytically but may be calculated to a high degree of accuracy using numerical Fourier transform techniques developed by Corcoran. These techniques show that the harmonic peak structure still persists when the friction in the system is significant, but those peaks of higher order with respect to the fundamental frequency are so small in amplitude when friction acts on both dipole and cage of the model system that they are almost imperceptible. If on the other hand frictional torques are supposed to act only on the cage as in earlier versions of the model a distinct peak structure still persists.