Issues »  Volume 41, Issue 6

Self-Organization as Consequence of Atoms not Elastic Oscillations at Chain

V. I. Zasimchuk, E. E. Zasimchuk

G. V. Kurdyumov Institute for Metal Physics, NAS of Ukraine, 36 Academician Vernadsky Blvd., UA-03142 Kyiv, Ukraine

Received: 01.06.2015; final version - 06.03.2019. Download: PDF

The equation for atoms oscillation description at one-dimensional chain in approximation, which some differs from the quasi-elastic one, are received. It is solved by the perturbation theory method. The nonlinear term $f^{II}(\alpha)x_{n}x_{nn}$ is chosen as a small parameter. As shown, such oscillations may produce ordered structure of vacancies, which are placed periodically along the length of chain.

Key words: self-organization, one-dimensional chain of atoms, non-quasi-elastic oscillations, hydrodynamic channel, atom-vacancy states, vacancies, ordered structure, perturbation theory.

URL: http://mfint.imp.kiev.ua/en/abstract/v41/i06/0765.html

DOI: https://doi.org/10.15407/mfint.41.06.0765

PACS: 02.30.Jr, 02.30.Mv, 05.65.+b, 05.70.Ln, 34.20.Gj, 63.20.Ry

Citation: V. I. Zasimchuk and E. E. Zasimchuk, Self-Organization as Consequence of Atoms not Elastic Oscillations at Chain, Metallofiz. Noveishie Tekhnol., 41, No. 6: 765—774 (2019) (in Russian)

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