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Title of Journal: Zeitschrift für Physik B Condensed Matter

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Abbravation: Zeitschrift für Physik B Condensed Matter

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Springer-Verlag

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10.1007/bf01991443

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1431-584X

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Multiphonon decay of strong mode in quantum lattic

Authors: V Hizhnyakov
Publish Date: 2014/02/10
Volume: 104, Issue: 4, Pages: 675-679
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Abstract

A nonperturbative theory of multiphonon anharmonic decay of strongly excited local mode is developed whereby the mode is considered classically and phonons quantum mechanically The decay rate of the mode is expressed via the negative frequency parts of the phonon pair correlation functions In the case of twophonon decay the later satisfy the linear integral equations while in the case of two and morephonon decay they satisfy the nonlinear integral equations As a result the processes mentioned differently depend on the mode amplitude A twophonon processes smoothly deminish if A → ∞ while three and morephonon processes are fully switchedoff at large amplitudes and they abruptly switchon if the amplitude approaches the critical value At that the decay rate gets rather high value of the order of the mode quantum per period The final stage of the relaxation is well described by the perturbation theory


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