Видання зареєстровані авторами шляхом самоархівування
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Item Kinetics of Nanostructuring Processes of Material Surface under Influence of Laser Radiation(MDPI, 2020) Хоменко, Олексій Віталійович; Хоменко, Алексей Витальевич; Khomenko, Oleksii Vitaliiovych; Ющенко, Ольга Володимирівна; Ющенко, Ольга Владимировна; Yushchenko, Olha Volodymyrivna; Бадалян, Анна Юріївна; Бадалян, Анна Юрьевна; Badalian, Anna YuriivnaIn this paper, further research is conducted for a synergetic model that describes the state of the material surface in the process of laser irradiation. Namely, the previously studied approach of mutually coordinated behavior of the relaxation field, concentration of relaxation zones, and field of stress is supplemented with a nonlinear term. It is shown that, using this model, we can describe the behavior of different types of systems. During the analysis, five stationary states were found which correspond to different modes of formation of relaxation areas on the surface. The regions of parameters are found at which one or another mode of the system behavior is established. Phase portraits are constructed for each mode and the kinetics of the system is described. The obtained results qualitatively coincide with the experimental data.Item Influence of spatial inhomogeneity on the formation of chaotic modes at the self-organization process(Bogolyubov Institute for Theoretical Physics, 2020) Ляшенко, Зінаїда Миколаївна; Ляшенко, Зинаида Николаевна; Liashenko, Zinaida Mykolaivna; Ляшенко, Яків Олександрович; Ляшенко, Яков Александрович; Liashenko, Yakiv OleksandrovychThe Lorentz system of equations, in which gradient terms are taken into account, has beensolved numerically. Three fundamentally different modes of evolution are considered. In thefirst mode, the spatial distribution of the order parameter permanently changes in time, anddomains of two types with positive and negative order parameter values are formed. In thesecond mode, the order parameter distribution is close to the stationary one. Finally, in thethird mode, the order parameter is identical over the whole space. The dependences of theaverage area of domains, their number, and their total area on the time are calculated in thefirst two cases. In the third case, the contribution of gradient terms completely vanishes, anda classical Lorenz attractor is realized.