Description of the Transition Between Different Modes of Nanoparticle’s Motion Within the Four-parameter Lorentz System

Authors O.V. Yushchenko , M.A. Rudenko

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

Issue Volume 10, Year 2018, Number 6
Dates Received 19 August 2018; revised manuscript received 05 December 2018; published online 18 December 2018
Citation O.V. Yushchenko, M.A. Rudenko, J. Nano- Electron. Phys. 10 No 6, 06019 (2018)
PACS Number(s) 61.46. + w, 64.60. − i
Keywords Nanoparticles ensemble, Modes of motion, Phase portrait, Landau-Halatnikov equation, Langevin equation, Stochastic sources.

In this work, the motion of a arbitrary form nanoparticle ensemble has been studied. A synergistic system of four differential equations is constructed, which allows a self-consistent way to represent a transition between different modes of motion of nanoparticles. The effective energy of motion of an ensemble of nanoparticles is obtained, depending on the velocity of the translational motion. Using the method of the phase plane, the kinetics of the system for different ratios between the times of the change of the basic parameters is investigated, the conditions for the existence of stable states are found. For a stochastic case, it has been found that the fluctuations of the torque and internal forces have the greatest influence. In the framework of the method of generating potential, the effect of these fluctuations on the mechanism of transition between modes of nanoparticle movement was investigated. This theoretical study may be useful in predicting the behavior of an ensemble of nanoparticles of arbitrary shape and in analyzing possible types of motion under conditions of external influence.

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