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June 2017, № 7 (207), pages 97-104

doi: 10.25198/1814-6457-207-97

Kucherenko M.G. KINETICS OF THE DIFFUSIVE ACCELERATED ANNIHILATION OF PARTICLES IN CIRCULAR OR SPHERICAL AREA OF NANOMETER RADIUSThe mathematical model of kinetics remotely of the dependent annihilation of particles of two grades accelerated by their diffusion in areas of circular and spherical shape of nanometer radius is constructed. The analysis was limited to accounting only of pair spatial correlations, in neglect correlations of higher order. Approximate representation of two-partial function of Green of a diffusive task with the reflecting border in the factored look on coordinates of each of particles, fair for a case of small speed of remote reaction is used. One-partial functions of Green for cases of existence in a circular (spherical) zone of the weak axial and symmetric force field created by the dot source of dipolar type located in the center of a zone and also for lack of such field are received. Results of calculations of temporary dependences of average speed of bimolecular annihilation for the simplest central symmetric case of placement of particles reagents are given. The offered model can be used as for the description of kinetics of annihilation of particles, not selective on a back, and for backs — selective reactions, such, for example, as a triplet-tripletnaya annihilation of excitons, or suppression a triplet — the excited molecules doublet traps in nanodisperse systems with high-symmetric cavities or inclusions. Key words: diffusive kinetics, bimolecular annihilation, spherical nanocavity, Green's function of Neumann's task.

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References:

1. Ovchinnikov, A.A. Kinetika diffuzionno-kontroliruemyh himicheskih processov / A.A. Ovchinnikov, S.F. Timashev, A.A. Belyj. — M.: Himiya. — 1986. — 287 s.

2. Burlackij, S.F. Kinetika gibeli na lovushkah v doporogovyh perkolyacionnyh sistemah / S.F. Burlackij, I.F. Ivanov. — ZHEHTF. — 1988. — T. 94. — S. 331.

3. Khairutdinov, R.F. Photochemical reactions on the surface of a circular disk: a theoretical approach to kinetics in restricted two-dimensional space / R.F. Khairutdinov, K.Ya. Burshtein, N. Serpone // Journal of Photochemistry and Photobiology A: Chemist — 1996. — V. 98. — P. 1—14.

4. Konkoli, Z. Diffusion controlled reactions, fluctuation dominated kinetics and living cell biochemistry / Z. Konkoli // Fifth Workshop on Developments in Computational Models—Computational Models From Nature / Ed. by S. Barry Cooper & Vincent Danos. — EPTCS. — 9, 2009. — R. 98—107. — doi:10.4204/EPTCS.9.11 c.

5. Stochastic model for fluorescence quenching in monodisperse micelles with probe migration / M.H. Gehlen et al. // J. Phys. Chem. — 1991. — V. 95. — №14. — P. 5684—5689.

6. Barzykin, A.V. Luminescence quenching in micellar clusters as a random walk problem / A.V. Barzykin, M. Tachiya // Phys. Rev. Let. — 1994. — V. 73. — №25. — P. 3479—3482.

7. Onipko, A.I. Kinetics of incoherent exciton annihilation in nonideal one-dimensional structures / A.I. Onipko, I.V. Zozulenko // J. Luminescence. — 1989. — V. 43. —P. 173—184.

8. Kucherenko, M.G. Asimptoticheskaya stadiya kinetiki ehksitonnyh processov v polimernyh cepyah s regulyarnoj i narushennoj strukturoj / M.G. Kucherenko, V.N. Stepanov, T.M. CHmereva // Vestnik OGU. — 2004. — №9. — S. 127—139.

9. Chevalier, Y. The structure of micelles and microemulsion / Y. Chevalier, T. Zemb // Rep. Prog. Phys. — 1990. — V. 53. — №3. — P. 279—371.

10. Kucherenko, M.G. Processy s uchastiem ehlektronno— vozbuzhdennyh molekul na poverhnostyah tverdyh adsorbentov: monografiya / M.G. Kucherenko, T.M. CHmereva. — Orenburg: Orenburgskij gosudarstvennyj universitet. — 2010. — 346 s.

11. Kucherenko, M.G. Fluktuacionnaya kinetika fotoreakcij v sisteme perkolyacionno-svyazannyh nanoyacheek / M.G. Kucherenko // Vestnik Orenburg. gos. un-ta. — 2001. — №2(8). — S. 89—95.

12. Kucherenko, M.G. Dinamika fluktuacij chisla molekul v nanoyachejkah i kinetika reakcij v dispersnyh sredah / M.G. Kucherenko // Vestnik Orenburg. gos. un-ta. — 2000. — №2. — S. 57—64.

13. Juzeliunas, G. Fluorescence depolarization due to exciton annihilation in molecular domains / G. Juzeliunas // Journal of Luminescence. — 1990. —V. 46. —P. 201—207.

14. Energy transfer from a semiconductor quantum dot to an organic matrix / D.M. Basko et al. // Eur. Phys. J. — 2000. — V. 13. —Iss. 4. — P. 653—659.

15. Agranovich, V.M. Rezonansnyj perenos ehnergii ot poluprovodnikovoj kvantovoj tochki k organicheskoj matrice / V.M. Agranovich, D.M. Basko // Pis'ma v ZHEHTF. — 1999. — T. 69. — Vyp. 3. — S. 232—235.

16. Agranovich, V.M. Perenos ehnergii ehlektronnogo vozbuzhdeniya v kondensirovannyh sredah / V.M. Agranovich, M.D. Galanin. — M.: Nauka. — 1978.

17. Kucherenko, M.G. EHksitonnaya peredacha ehnergii mezhdu adsorbatami / M.G.Kucherenko, T.M. CHmereva // Fizika tverdogo tela. — 2008. — T. 50. — №3. — S. 512—518.

18. Tunickij, N.N. O rezonansnom mezhmolekulyarnom perenose vozbuzhdeniya pri uchete diffuzii / N.N. Tunickij, H.S. Bagdasar'yan // Opt. i spektr. — 1963. — T. 15. — №1. — S. 100—106.

19. Berlin, A.A. Uchet diffuzii i podbar'ernyh perekhodov pri opisanii tunnel'nogo mekhanizma reakcii zahvata ehlektrona molekuloj akceptora / A.A. Berlin // Doklady AN SSSR. — 1975. —T. 223. — №3. — S. 625—628.

20. Doktorov, A.B. Kvantovaya teoriya distancionnogo perenosa, uskorennogo diffuziej / A.B. Doktorov, A.I.Burshtejn // ZHEHTF. — 1975. —T. 68. — №4. — S. 1349—1362.

21. Kucherenko, M.G. Annigilyacionnaya depolyarizaciya lyuminescencii central'no-vystroennyh molekulyarnyh zondov v mikro— i nanoporah s zhidkokristallicheskim napolnitelem / M.G. Kucherenko, A.A. Palem // Vestnik OGU. — 2008. — №9. — S. 210—216.

22. Suna, A. Kinematics of exciton-exciton annihilation in molecular crystals / A. Suna // Phys. Rev. B. — 1970. — V. 1. — №4. — P. 1716—1739.

23. Kucherenko, M.G. Kinetika staticheskogo nelinejnogo samotusheniya lyuminescencii v kolloidnyh sistemah / M.G. Kucherenko // Kolloidnyj zhurnal. — 1998. — T. 60. — №3. — S. 398—406.

24. Kucherenko, M.G. Kinetika staticheskoj annigilyacii kvazichastic v polidispersnoj nanostrukture / M.G. Kucherenko, A.V. Sidorov // Vestnik Orenburgsk. gos. un-ta. — 2003. — №2 (12). — S. 51—57.

25. Dexter, D.L. A theory of sensitized luminescence in solids / D.L. Dexter // J. Chem. Phys. — 1953. — V. 21. — №5. —P. 836—850.

26. Pilling, M.J. Theoretical Model for Diffusion Controlled Reactions of Solvated Electrons Incorporating a Tunneling Mechanism / M.J. Pilling, S.A. Rice // J. Chem. Soc. Farad. Trans. 2. — 1975. —V. 71. — №9. — P. 1563—1571.

27. Kucherenko, M.G. Zavisimost' skorosti spin-selektivnoj annigilyacii ehlektronnyh vozbuzhdenij ot vneshnego magnitnogo polya v nanostrukturirovannyh sistemah / M.G. Kucherenko, R.N. Dyusembaev // Himicheskaya fizika i mezoskopiya. — 2010. — Tom 12. — №1. — S. 112—119.

28. Kucherenko, M.G. Positive magnetic field effect on mutual triplet triplet annihilation of mixed molecular pairs: Magnetosensitive geterofusion induced by difference of g-factors / M.G. Kucherenko, R.N. Dusembaev // Chem. Phys. Lett. — 2010. — V. 487. — P. 58—61.

About this article

Author: Kucherenko M.G.

Year: 2017

doi: 10.25198/1814-6457-207-97

Editor-in-chief

Sergey Aleksandrovich
MIROSHNIKOV

© Электронное периодическое издание: ВЕСТНИК ОГУ on-line (VESTNIK OSU on-line), ISSN on-line 1814-6465
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