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The mathematical model of quantum dots pair orientation under laser radiation field
V.S. Petrakova 1, A.S. Tsipotan 2, V.V. Slabko 2
1 Institute of Computational Modeling of SB RAS,
660036, Krasnoyarsk, Russia, Akademgorodok st., 50/44;
2 Siberian Federal University,
660041, Krasnoyarsk, Russia, Svobodny pr., 79
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Full text of article: English language.
One approach for the formation of structures with complex geometries at the nanoscale is the step-by-step assembly. In this case, it is necessary to be able to estimate the time required to establish orientational equilibrium for a preformed pair of particles. This process is statistical in nature and depends on the mechanism of interaction of the ensemble with the external field. The orientation of particles in an alternating field is associated with certain relaxation times, which depend on the viscosity and temperature of the medium, as well as on the geometric structure of the samples. This paper proposes an mathematical model of the process of establishing the distribution of nanoparticles pairs orientations taking into account the friction force, thermal motion, and the orienting laser field. A statistical orientation distribution was obtained for CdTe particles in the field of moderate laser radiation, and the average time for establishing orientational equilibrium was estimated.
mathematical methods, nanostructure fabrication, relaxation process.
Petrakova VS, Tsipotan AS, Slabko VV. The mathematical model of quantum dots pair orientation under laser radiation field. Computer Optics 2022; 46(4): 555-560. DOI: 10.18287/2412-6179-CO-1062.
V.S. Petrakova is grateful to Krasnoyarsk Mathematical Center financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement No. 075-02-2022-873).
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