Lattice modes localized about defects can interchange energy with the continuum of lattice waves by anharmonic interactions. The relaxation time of a localized mode is calculated, taking account of cubic anharmonicities and using perturbation theory analogous to the treatment of three-phonon interactions. At zero temperature the relaxation time is typically of the order of 100 periods, but decreases with increasing temperature.
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P. G. Klemens (1961) studied this question.
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