Issues »  Volume 42, Issue 10

Conditions of Self-Organization of Dissipative Modulated Structures in a case of Vacancies Distribution in Cylindrical Sample

E. E. Zasimchuk, V. I. Zasimchuk, T. V. Turchak

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

Received: 14.02.2020; final version - 03.08.2020. Download: PDF

The conditions for the formation of a synergistic structure that promotes plastic deformation without the participation of defects, mainly dislocations, are analyzed in real crystalline objects due to the self-organization of vacancies. The equation for the concentration of vacancies in a cylindrical sample is considered in this paper. The ordered solutions obtained are of the form of alternating zones of high and low concentration of vacancies. These solutions decrease with increasing time $t$ and tend to zero as $t \rightarrow \infty$. As assumed, if the sample is located in the corresponding mechanical field, the lifetime of the solutions may be sufficient for the formation of hydrodynamic channels. As shown, such processes can only take place in an open system.

Key words: hydrodynamic flow, self-organization, vacancies, crystal, synergetic structure, cylindrical sample.

URL: http://mfint.imp.kiev.ua/en/abstract/v42/i10/1455.html

DOI: https://doi.org/10.15407/mfint.42.10.1455

PACS: 05.65.+b, 05.70.Ln, 61.72.jd, 62.20.F-, 62.50.-p, 81.40.Lm, 89.75.Fb

Citation: E. E. Zasimchuk, V. I. Zasimchuk, and T. V. Turchak, Conditions of Self-Organization of Dissipative Modulated Structures in a case of Vacancies Distribution in Cylindrical Sample, Metallofiz. Noveishie Tekhnol., 42, No. 10: 1455—1466 (2020) (in Ukrainian)

REFERENCES
  1. Yu. G. Gordienko and E. E. Zasimchuk, Philos. Mag. A, 70, No. 1: 99 (1994). Crossref
  2. E. E. Zasimchuk and L. I. Markashova, Mater. Sci. Eng. A, 127, No. 1: 33 (1990). Crossref
  3. O. Eh. Zasymchuk, V. I. Zasymchuk, and T. V. Turchak, Uspehi Fiz. Met., 14, No. 3: 275 (2013) (in Russian). Crossref
  4. E. Zasimchuk, O. Baskova, O. Gatsenko, and T. Turchak, J. Mater. Eng. Perform., 26, No. 3: 1293 (2017). Crossref
  5. O. S. Gatsenko, O. E. Zasymchuk, P. O. Tesel'ko, S. G. Stirenko, and Yu. G. Gordienko, Metallofiz. Noveishie Tekhnologii, 36, No. 9: 1207 (2014) (in Ukrainian). Crossref
  6. E. Zasimchuk, O. Baskova, O. Gatsenko, and T. Turchak, J. Mater. Eng. Performance, 27, No. 8: 4183 (2018). Crossref
  7. O. V. Oliinyk and V. A. Tatarenko, Dopovidi Nats. Akad. Nauk Ukrainy, No. 3: 55 (2019) (in Ukranian). Crossref
  8. O. V. Oliinyk and V. A. Tatarenko, Radiation Effects and Defects in Solids, 174, Nos. 5-6: 519 (2019). Crossref
  9. V. I. Zasimchuk, E. Eh. Zasimchuk, and Yu. G. Gordienko, Metallofiz. Noveishie Tekhnol., 36, No. 4: 445 (2014) (in Russian). Crossref
  10. G. Korn and T. Korn, Spravochnik po Matematike dlya Nauchnykh Rabotnikov i Inzhenerov (Moscow: Nauka: 1978) (in Russian).
  11. A. A. Sokolov, I. M. Ternov, and V. Ch. Zhukovskiy, Quantum Mechanics (Moscow: Nauka: 1979) (in Russian).
  12. G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium Systems from Dissipative Structures to Order Through Fluctuations (New York: Wiley: 1977).

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