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Estimating the relaxation times of “lattice” translational quasi-particle excitations in liquid systems on the basis of long-wavelength IR spectra in the cluster–continuum approximation

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Abstract

Quasi-lattice translational vibrational transitions in liquid systems, accompanied by energy absorption in the low-frequency IR spectral region, and the relaxation of excited vibrational states are interpreted in terms of the theory of autovibrational processes. By using a one-dimensional iterated mapping of a sequence in the form of recursion relations of the theory of autovibrations, a relationship is found between the relaxation times of phononlike “lattice” translational quasi-particle vibrational excitations in liquid systems and the corresponding vibrational frequencies, and the relaxation times are also estimated for a number of nonpolar, polar, and associated molecular liquids. The problem of the applicability of the quantum-mechanical indeterminacy relation for energy and time in low-frequency IR spectroscopy is discussed.

© 2008 Optical Society of America

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