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Diffusion equation for the quasi-incoherent motion of Frenkel excitons in molecular crystals

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Zeitschrift für Physik B Condensed Matter

Abstract

In a recent paper a master equation describing the quasi-incoherent motion of Frenkel excitons in molecular crystals has been derived within the Haken-Strobl model for the coupled coherent and incoherent motion of Frenkel excitons. Starting from this master equation and using only the translational symmetry of the crystal lattice, for crystals with one molecule in the unit cell a diffusion equation is derived. For crystals with several molecules in the unit cell instead of a diffusion equation one obtains a set of diffusion-like equations. These equations are solved explicitly for the case of two molecules in the unit cell and asymptotic expressions are discussed. It is shown that this asymptotic behaviour is again described by a diffusion equation.

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Authors and Affiliations

  1. Abteilung für Theoretische Physik I, Universität Ulm, Oberer Eselsberg, D-7900, Ulm, Federal Republic of Germany

    R. Kühne & P. Reineker

Authors
  1. R. Kühne
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  2. P. Reineker
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Kühne, R., Reineker, P. Diffusion equation for the quasi-incoherent motion of Frenkel excitons in molecular crystals. Z Physik B 22, 201–206 (1975). https://doi.org/10.1007/BF01322366

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  • DOI: https://doi.org/10.1007/BF01322366

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