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Investigation of the Nanoparticles Motion Modes within the Framework of Stochastic System

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Author(s): O.V. Yushchenko | A.Yu. Badalyan

Journal: Journal of Nano- and Electronic Physics
ISSN 2077-6772

Volume: 4;
Issue: 3;
Start page: 03009-1;
Date: 2012;
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Keywords: Self-organization | The Fokker-Planck equation | Langevin equation | The phase-plane metho

ABSTRACT
On the basis of a stochastic system of equations, describing the behavior of the average velocity of nanoparticles, the external field and the internal energy, a synergetic model, which allows in a self-consistent manner to present the modes of the suspended nanoparticles motion, was constructed. Considering the correlation between the times of change of the degrees of freedom the Fokker-Planck equation was obtained, and the corresponding Langevin equation was found. Phase diagram of the system was built and the dependence of steady-state average velocity on the external conditions was found. Within the framework of the phase-plane method the kinetics of the transition between the modes of the nanoparticles motion was investigated.
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