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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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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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