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Non-Markov dissipative dynamics of electron transfer in a photosynthetic reaction center

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Abstract

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.

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References

  1. H. Lee, Y.-C. Cheng, and G. R. Fleming, Science, 316, 1462–1465 (2007).

    Article  ADS  Google Scholar 

  2. I. Kassal and A. Aspuru-Guzik, New J. Phys., 14, 053041 (2012).

    Article  ADS  Google Scholar 

  3. T. Ritz, S. Park, and K. Schulten, J. Phys. Chem. B, 105, 8259–8267 (2001).

    Article  Google Scholar 

  4. S. Nakajima, Progr. Theoret. Phys., 20, 948–959 (1958).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. R. Zwanzig, J. Chem. Phys., 33, 1338–1341 (1960).

    Article  ADS  MathSciNet  Google Scholar 

  6. V. May and O. Kuhn, Charge and Energy Transfer Dynamics in Molecular Systems, Wiley, Berlin (2011).

    Book  Google Scholar 

  7. U. Weiss, Quantum Dissipative Systems (Ser. Mod. Cond. Mat. Phys., Vol. 10), World Scientific, Singapore (1999).

    Book  MATH  Google Scholar 

  8. A. G. Redfield, Adv. Magn. Res., 1, 1–32 (1965).

    Article  Google Scholar 

  9. K. Blum, Density Matrix Theory and Applications, Plenum, New York (1981).

    Book  MATH  Google Scholar 

  10. D. Egorova and W. Domcke, J. Photochem. Photobiol. A, 166, 19–31 (2004).

    Article  Google Scholar 

  11. V. I. Novoderezhkin, A. G. Yakovlev, R. van Grondelle, and V. A. Shuvalov, J. Phys. Chem. B, 108, 7445–7457 (2004).

    Article  Google Scholar 

  12. I. O. Glebov and V. V. Eremin, Biophysics, 57, 442–449 (2012).

    Article  Google Scholar 

  13. D. Egorova, A. Kühl, and W. Domcke, Chem. Phys., 268, 105–120 (2004).

    Article  ADS  Google Scholar 

  14. A. G. Yakovlev, A. Y. Shkuropatov, and V. A. Shuvalov, FEBS Lett., 446, 209–212 (2000).

    Article  Google Scholar 

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Correspondence to V. V. Poddubnyy.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 178, No. 2, pp. 295–304, February, 2014.

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Poddubnyy, V.V., Glebov, I.O. & Eremin, V.V. Non-Markov dissipative dynamics of electron transfer in a photosynthetic reaction center. Theor Math Phys 178, 257–264 (2014). https://doi.org/10.1007/s11232-014-0141-6

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  • DOI: https://doi.org/10.1007/s11232-014-0141-6

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