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An exact solution to the problem of geminate recombination in the presence of volume acceptors

  • Reactivity, Kinetics of Chemical Reactions, Catalysis
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Abstract

The exact many-particle solutions obtained by the authors for the scavenger problem well known in the literature are compared with the approximations usually applied to interpret experimental data. The differences between the exact solutions and approximations related to the important role played by time correlations are analyzed. These differences can be large to the extent that the description of experiments becomes qualitatively incorrect.

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References

  1. T. R. Waite, Phys. Rev. 107, 463, 471 (1957).

    Article  CAS  Google Scholar 

  2. Y. H. Kalnin and F. V. Pirogov, Phys. Status Solidi B 84, 521 (1977).

    Article  Google Scholar 

  3. W. Naumann, Chem. Phys. 144, 147 (1990).

    Article  CAS  Google Scholar 

  4. A. Naumann and A. Szabo, J. Chem. Phys. 92, 5270 (1990).

    Article  Google Scholar 

  5. J. B. Miers, J. C. Postlewaite, T. Zuyng, et al., J. Chem. Phys. 93, 8771 (1990).

    Article  CAS  Google Scholar 

  6. Y. Jung and S. Lee, Chem. Phys. Lett. 231, 429 (1994).

    Article  CAS  Google Scholar 

  7. T. W. Scott and C. Doubleday, Jr., Chem. Phys. Lett. 178 (1991).

  8. M. G. Hyde and G. S. Beddard, Chem. Phys. 151, 239 (1991).

    Article  CAS  Google Scholar 

  9. L. Onsager, Phys. Rew. 54, 554 (1938).

    Article  CAS  Google Scholar 

  10. S. A. Rice, Diffusion Limited Reactions, Vol. 25 of Comprehensive Chemical Kinetics, Ed. by C. H. Bamford, C. F. H. Tipper, and R. G. V. Compton (Elsevier, Amsterdam, 1985).

    Google Scholar 

  11. A. A. Ovchinnikov, S. F. Timashev, and A. A. Belyy, Kinetics of Diffusion Controlled Chemical Processes (Nova Science, Commack, New York, 1989).

    Google Scholar 

  12. L. Monckick, J. Chem. Phys. 24, 381 (1956).

    Article  Google Scholar 

  13. J. L. Magee and A. B. Tayler, J. Chem. Phys. 56, 3061 (1972).

    Article  CAS  Google Scholar 

  14. G. C. Abell, A. Mozumder, and J. L. Magee, J. Chem. Phys. 56, 5422 (1972).

    Article  CAS  Google Scholar 

  15. M. Tachiya, J. Chem. Phys. 66, 238 (1979).

    Article  Google Scholar 

  16. H. Sano and M. Tachiya, J. Chem. Phys. 71, 1276 (1979).

    Article  CAS  Google Scholar 

  17. N. H. B. Green, S. M. Pimblott, and M. Tachiya, J. Phys. Chem. 97, 196 (1993).

    Article  CAS  Google Scholar 

  18. K. Joohyun, J. Younjoon, J. Jonggu, et al., J. Chem. Phys. 104, 5784 (1996).

    Article  Google Scholar 

  19. A. Szabo, J. Chem. Phys. 95, 2481 (1991).

    Article  CAS  Google Scholar 

  20. W. Naumann and A. Szabo, J. Chem. Phys. 107, 402 (1997).

    Article  CAS  Google Scholar 

  21. A. A. Kipriyanov, O. A. Igoshin, and A. B. Doktorov, Physica A (Amsterdam) 268, 567 (1999).

    CAS  Google Scholar 

  22. S. G. Fedorenko, A. A. Kipriaynov, and A. B. Doktorov, Physica A (Amsterdam) 345, 421 (2005).

    Google Scholar 

  23. V. I. Borovkov and K. A. Velizhanin, Chem. Phys. Lett. 394, 441 (2004).

    Article  CAS  Google Scholar 

  24. A. A. Kipriyanov and A. A. Karpushin, Khim. Fiz. 7(1), 60 (1988).

    CAS  Google Scholar 

  25. M. Smoluchowski, Z. Phys. Chem. 92, 129 (1917).

    Google Scholar 

  26. M. V. Artamonova, Ch. M. Briskina, A. I. Burshtein, et al., Zh. Eksp. Teor. Fiz. 62(3), 863 (1972).

    CAS  Google Scholar 

  27. A. I. Burshtein, Zh. Eksp. Teor. Fiz. 62(5), 1695 (1972).

    CAS  Google Scholar 

  28. A. B. Doktorov, A. A. Kipriyanov, and A. I. Burshtein, Zh. Eksp. Teor. Fiz. 74(3), 1184 (1978).

    Google Scholar 

  29. A. I. Burshtein, A. B. Doktorov, A. A. Kipriyanov, et al., Zh. Eksp. Teor. Fiz. 88(2), 878 (1985).

    CAS  Google Scholar 

  30. B. S. Yakovlev, S. Vash, and A. A. Balakin, Khim. Vys. Energ. 16, 139 (1982).

    CAS  Google Scholar 

  31. S. I. Vavilov, Microstructure of Light: Collected Works (Nauka, Moscow, 1974), Vol. 1 [in Russian].

    Google Scholar 

  32. A. A. Kipriyanov, S. G. Fedorenko, and A. B. Doktorov, Chem. Phys. 320, 9 (2005).

    Article  CAS  Google Scholar 

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Authors and Affiliations

  1. Institute of Chemical Kinetics and Combustion, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    S. G. Fedorenko & A. A. Kipriyanov

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    A. A. Kipriyanov

Authors
  1. S. G. Fedorenko
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  2. A. A. Kipriyanov
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Additional information

Original Russian Text © S.G. Fedorenko, A.A. Kipriyanov, 2007, published in Khimicheskaya Fizika, 2007, Vol. 26, No. 5, pp. 52–61.

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Fedorenko, S.G., Kipriyanov, A.A. An exact solution to the problem of geminate recombination in the presence of volume acceptors. Russ. J. Phys. Chem. B 1, 222–231 (2007). https://doi.org/10.1134/S1990793107030050

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  • DOI: https://doi.org/10.1134/S1990793107030050

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