title: Statistical description of the collective motion of nanoparticles.
abstract: A synergetic model allowing the description of a Brownian motion of active nanoparticles within the framework of the Lorenz three-parameter system is developed. The fluctuation's influence on the transition between different motion regimes is investigated. A diagram of possible motion modes of an active nanoparticle group and the corresponding stationary values of velocity are analyzed.
authors.affiliation: Nanoelectronics Department, Sumy State University, 2 Rimskii-Korsakov Street, Sumy 40007, Ukraine. yushchenko@phe.sumdu.edu.ua
authors.forename: O V
authors.initials: OV
authors.lastname: Yushchenko
authors.forename: A Yu
authors.initials: AY
authors.lastname: Badalyan