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- W1966831523 abstract "Circular diffusion in a multiple cosine potential-energy well produces peaks in the far infra-red power absorption coefficient as the rate of escape from these wells becomes slow. The Kramers equation governing the dynamics of the system is solved using matrix inversion methods. The dependence of the number, relative intensity and frequency of the far infra-red peaks on matrix size is illustrated, and numerical results are shown describing the development with decreasing rate of escape of far infra-red peaks. The complete dielectric loss profile is shown to be a broad band of constant half-width 1.12 decades at low frequency, super-imposed on which are the high frequency far infra-red peaks. The far infra-red power absorption spectrum in the deterministic limit of well-known models corresponding to the first three approximants of the linear Mori continued fraction expansion of the Liouville equation is shown to be composed of delta functions at well-defined frequencies. The number of delta functions increases with approximate order (i.e. number of continued fractions)." @default.
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- W1966831523 date "1985-09-01" @default.
- W1966831523 modified "2023-10-13" @default.
- W1966831523 title "Far Infra-Red Peaks in Molecular Liquids?" @default.
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- W1966831523 doi "https://doi.org/10.1088/0031-8949/32/3/011" @default.
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