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

Author(s) O.V. Yushchenko , A.Yu. Badalyan

Sumy State University, 2, Rimsky-Korsakov Str., 40007 Sumy, Ukraine

Issue Volume 4, Year 2012, Number 3
Dates Received 02 July 2012; published online 29 October 2012
Citation O.V. Yushchenko, A.Yu. Badalyan, J. Nano- Electron. Phys. 4 No 3, 03009 (2012)
PACS Number(s) 05.40.Jc, 02.50. – r
Key words Self-organization (5) , The Fokker-Planck equation, Langevin equation, The phase-plane method.
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.