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Dynamics of radiationless transitions in large molecules: 4. An ensemble of molecules occurring in condensed medium at a finite temperature

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Abstract

Statistically averaged vibration-phonon (VP) states of large molecules occurring in a condensed medium are represented by superpositions of lower excited states of high-frequency intramolecular vibrations and phonons in the state of thermal equilibrium. The dynamics of amplitudes of these states is described by an ensemble of Hamiltonians, wherein the distribution of their parameters characterizes the configuration distribution of the medium and determines the broadening and shift of absorption bands and the time evolution of the ensemble population. The equations of motion for statistically averaged amplitudes, as found by second-order cumulant expansion, coincide with those found by solving the secular equation, which takes into account both intramolecular and VP interactions. The relative contribution of the decay and decoherence to the evolution of the amplitudes has been considered. Critical values at which the transition from regular recurrence cycles to stochastic dynamics takes place have been found for the VP coupling parameters. The ergodicity of VP systems and the conditions of separation of the intramolecular and phonon-stimulated dynamics have been considered.

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Authors and Affiliations

  1. Institute of Problems of Chemical Physics, Russian Academy of Sciences, pr. Akademika Semenova 1, Chernogolovka, Moscow oblast, 142432, Russia

    V. A. Benderskii

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  1. V. A. Benderskii
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Correspondence to V. A. Benderskii.

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Original Russian Text © V.A. Benderskii, 2013, published in Khimiya Vysokikh Energii, 2013, Vol. 47, No. 1, pp. 3–14.

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Benderskii, V.A. Dynamics of radiationless transitions in large molecules: 4. An ensemble of molecules occurring in condensed medium at a finite temperature. High Energy Chem 47, 1–11 (2013). https://doi.org/10.1134/S0018143913010025

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  • DOI: https://doi.org/10.1134/S0018143913010025

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