Abstract
Starting from the Haken-Strobl-model for the coupled coherent and incoherent motion of Frenkel excitons, a master equation is derived describing the quasi-incoherent motion of these excitations. In contrast to previous derivations no use is made of special symmetries. Therefore this equation may also describe the energy transfer in materials with non-periodic structure, which play a role in biological systems. The master equation is solved for crystals with one and two molecules in the unit cell, and explicit expressions are given for the case of nearest neighbour interaction too. Furtheron, asymptotic forms of the solutions are discussed.
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Haken, H., Strobl, G.: In: The Triplet State, ed. Zahlan, A., pp. 311–314. London: Cambridge University Press 1967
Haken, H., Strobl, G.: Z. Physik262, 135 (1973)
Reineker, P.: PhD thesis, University of Stuttgart (1971)
Haken, H., Reineker, P.: Z. Physik249, 253 (1972)
Reineker, P., Haken, H.: Z. Physik250, 300 (1972)
Reineker, P.: phys. stat. sol. (b)52, 439 (1972)
Schwarzer, E., Haken, H.: Opt. Commun.9, 64 (1973)
Reineker, P.: Z. Naturf.29a, 282 (1974)
Haken, H., Schwarzer, E.: Chem. Phys. Letters27, 41 (1974)
Schwarzer, E.: PhD thesis, University of Stuttgart (1974)
Aslangul, C., Kottis, Ph.: Phys. Rev. B10, 4364 (1974)
Haken, H., Reineker, P.: In: Excitons, Magnons and Phonons in Molecular Crystals, ed. Zahlan, A., pp. 185–194. London: Cambridge University Press 1968
Reineker, P.: Phys. Letters44A, 429 (1973)
Schwarzer, E.: Z. Physik B20, 185 (1975)
Ern, V., Suna, A., Tomkiewicz, Y., Avakian, P., Groff, R.P.: Phys. Rev. B5, 3222 (1972)
Haken, H., Reineker, P.: Acta Universitatis Caroline-Math. et Phys.14, 23 (1973)
Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. New York: Dover Publications, Inc. 1970
Morse, P.M., Feshbach, H.: Methods of Theoretical Physics. New York-Toronto-London: McGraw-Hill Book Company 1953
Sommerfeld, A.: Vorlesungen über Theoretische Physik, Band VI. Leipzig: Akademische Verlagsgesellschaft Geest & Portig K.-G. 1962
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Reineker, P., Kühne, R. Master equation for the quasi-incoherent motion of Frenkel excitons. Z Physik B 22, 193–199 (1975). https://doi.org/10.1007/BF01322365
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DOI: https://doi.org/10.1007/BF01322365