NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2005, Vol.8, No.2, pp.134-147


Breathing Sphere Model for Description of the Vibrational Energy Transfer in a Viscoelastic Medium.
V.B.Nemtsov

A model of viscoelastic solvent is applied to describe the vibrational energy transfer from a solute to the solvent. The solute molecule is considered as a ``breathing'' sphere interacting with the viscoelastic surrounding. The vibrational excitation is shown to propagate into the solvent in the form of viscoelastic spherical waves with absorbtion reducing with increasing the frequency of the waves. The vibrational energy relaxation rates are expressed in terms of solvent viscoelastic parameters. Fractions of propagated and absorbed energy are calculated as functions of distance from the sphere centre. Comparison of the theoretically predicted density dependence of the vibrational energy rate with experimental data on azulene in propane at T = 400K is performed.
Key words: vibrational energy transfer, breathing sphere, viscoelastic medium

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