Abstract
The kinetic equations describing the spreading ot the electronic excitation at zero temperature as a stochastic Brownian motion have been found. In the case of a structural disorder they imply the diffusion ot the excitation into the ranges of the maximum density of atoms. The relaxation time is also density-dependent having the minimum value in the ranges of maximum density of atoms and vice versa. In the case of a substitutional disorder the master equation in the “k”-space imply the spreading of excitation as a decaying wave packet. The relaxation lifetime in the first case of disorder and the lifetime of the coherence state in the second one are much smaller than the radiation lifetimes.
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References
Dexter D. L., Förster Th., Knox R. S., phys. stat. sol.34 (1969), K 159.
Trlifaj M., Czech. J. Phys.6 (1956), 533.
Trlifaj M., Czech. J. Phys.8 (1958), 510.
Haken H.,Strobl S.,in The Triplet State. Cambridge University Press 1967, 311.
Haken H.,Reineker P.,in Excitons, Magnons and Phonons in Molecular Crystals. Cambridge University Press, 1968.
Onodera Y., Toyozawa Y., J. Phys, Soc. Jap.24 (1968), 341.
Kubo R., J. Phys. Soc. Jap.17 (1962), 1100.
Welsh D. I. A.,in Mathematics Applied to Physics. Springer-Verlag, Berlin 1970.
Stearns M. B., Ulrich J. F., Phys. Rev.B 4 (1971), 3825.
Munasinghe M., Linz A., Phys. Rev.B 4 (1971), 3833.
Dexter D. L., Phys. Rev.108 (1957), 707.
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The autor would like to express her thanks to Prof. M.Trlifaj for useful discussions and to Dr. V.Bezák for a careful reading of a manuscript.
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Majerníková, E. Diffusion of the electronic excitation in disordered systems. Czech J Phys 23, 130–140 (1973). https://doi.org/10.1007/BF01596887
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DOI: https://doi.org/10.1007/BF01596887