Non-Markov dissipative dynamics of electron transfer in a~photosynthetic reaction center
Teoretičeskaâ i matematičeskaâ fizika, Tome 178 (2014) no. 2, pp. 295-304

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We consider the dissipative dynamics of electron transfer in the photosynthetic reaction center of purple bacteria and propose a model where the transition between electron states arises only due to the interaction between a chromophore system and the protein environment and is not accompanied by the motion of nuclei of the reaction subsystem. We establish applicability conditions for the Markov approximation in the framework of this model and show that these conditions are not necessarily satisfied in the protein medium. We represent the spectral function of the "system $+$ heat bath" interaction in the form of one or several Gaussian functions to study specific characteristics of non-Markov dynamics of the final state population, the presence of an induction period and vibrations. The consistency of the computational results obtained for non-Markov dynamics with experimental data confirms the correctness of the proposed approach.
Keywords: quantum theory of open systems, Redfield theory, reduced density matrix, Markov approximation, heat bath spectral function, heat bath correlation function, reaction center, electron transfer.
@article{TMF_2014_178_2_a6,
     author = {V. V. Poddubnyi and I. O. Glebov and V. V. Eremin},
     title = {Non-Markov dissipative dynamics of electron transfer in a~photosynthetic reaction center},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {295--304},
     publisher = {mathdoc},
     volume = {178},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_178_2_a6/}
}
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V. V. Poddubnyi; I. O. Glebov; V. V. Eremin. Non-Markov dissipative dynamics of electron transfer in a~photosynthetic reaction center. Teoretičeskaâ i matematičeskaâ fizika, Tome 178 (2014) no. 2, pp. 295-304. http://geodesic.mathdoc.fr/item/TMF_2014_178_2_a6/