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Registration Number

0219U101825, 0118U001427 , R & D reports

Title

Modeling processes of physicochemical modification of oxide and carbon nanosystems of different sizes and dimensions under conditions of external factors influence

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Head

Lobanov Viktor V.,

Registration Date

12-11-2019

Organization

Chuiko Institute of Surface Chemistry of NAS of Ukraine

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 The Brownian motion is theoretically investigated in an asymmetric spatially periodic potential in approximation of the finite duration of the relaxation response of the system to deterministic dichotomous (stepped) fluctuations. It was assumed that the period of these fluctuations far exceeds the characteristic diffusion time, and that the heights of potential barriers are small compared to thermal energy (adiabatic high-temperature pulsating retc). Analytical expressions for the average velocity of the particle are deduced, they are specified for the pulverized profile of the stationary part of the potential energy of the nanoparticle. Different - linear and quadratic - behavior of the average Brownian motor speed as a function of relaxation time for extremely and not asymmetric potential profiles, respectively, were revealed. The results are interpreted in terms of self-description. In addition, the relations that interpret the mean particle flux (Brownian retc velocity) in terms of the Fourier components of the stationary and fluctuating parts of the potential profiles and correlation functions of the control process, as well as the individual cases of these relationships for spatial harmonic directing fluctuations, are obtained. and periodic (harmonic and stepped) time changes of potential energy. The ratio is used to calculate the characteristics of the corresponding Brownian retweets.

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Gichan Olga I.
Gavryliuk Oleksandr O.
Grebenuk Anatolij H.
Demianenko Eugeniy M.
Kanievskyi Vasyl I.
Karpenko Oksana S.
Kozyriev Yurii M.
Korochkova Taisiya Ye.
Kravchenko Andrii A.
Lobanov Viktor V.
Pokutnyi Sergii I.
Rozenbaum Viktor M.
Semchuk Oleksandr Yu.
Smirnova Olesia V.
Terebinska Mariya I.
Tkachuk Olga I.
Filonenko Oksana V.

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2020-04-02