ANALYSIS OF THE STABILTY OF DYNAMIC NANOSTRUCTURED PHASES NEAR THE MELTING POINT FOR COPPER
Abstract
Transition of a system to a non-equilibrium state is closely associated with the loss of the system’s stability. When considering the behaviour of matter near melting points, non-equilibrium physics puts focus on the properties of matter in the instability points (bifurcation points).
The aim of the work is to analyse the stability and adaptability of copper premelting nanocluster phases to structural transformations in relation to different rates of heating. The universal algorithm of self-organized structures in systems with controlled feedback was used to determine the stability of cooper premelting nanocluster phases to structural transformations.
This universal algorithm is based on the golden ratio. In this case, the system's stability is characterized by the self-similarity function. The self-similarity function was used to calculate the stability and adaptability index (the index of the structure’s ability to restructure). According to the calculations, the stability index is dependent on the rate of heating: Δi =0.285 (5 K/min) and Δi i=0.255 (10 K/min), which is in agreement with the correlation rate and cluster size. Domination of nonlinear feedback with the m~4 self-similarity index indicates nonlinear feedback and the formation of cluster structures of transition processes by replication.
Thus, a weakening of the system’s correlations as a result of the increase in heating rate leads to the decrease in clusters’ size and the decrease in their stability. The domination of nonlinear feedback indirectly indicates that the formation of nanoclusters in the premelting area is associated with the restructuring of the structure.
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References
2. Zhukova L. A., Manov V. P., Popel S. I., Razikova N. I. Journal Melts, 1992, no. 5, pp. 15-20.
3. Zhukova L. A. Journal Melts, 1995, no. 2, pp. 95-98.
4. Maiboroda V. P. Journal Melts, 1997, no. 1, pp. 82-89.
5. Maiboroda V. P., Shpak A. P., Kunitski Yu. A. Progress in Physics of Metals, 2003, vol. 4, no. 3, p. 123-133.
6. Ivanova V. S., Balankin A. S., Bunin I. J., Oksogoev A. A. Synergetics and Fractals in Material Science. Moscow, Nauka Publ., 1994, 383 p. (in Russian)
7. Ivanova V. S. Introduction in Interdisciplinary Material Science. Moscow, Science-press Publ., 2005, 208 p. (in Russian)
8. Ivanova V. S., Folmanis G. E. Nonlinear World, 2004, vol. 2, no. 2, pp. 81-85.
9. Shanyavski A. A. Safe Fatigue Failure of Aviaconstruction Elements. Synergetics in Engineering Applications. Ufa, UGNTU Publ., 2003, 802 p. (in Russian)
10. Stahov A. P. Codes of the Golden Ratio. Moscow, Radio and communication Publ., 1984, 365 p. (in Russian).
11. Timashev S. F. Russian Journal of Physical Chemistry A, 1994, vol. 68, no. 12, pp. 2216-2223.
12. Timashev S. F. Russian Journal of Physical Chemistry A, 1995, vol. 69, no. 12, pp. 2260-2261.
13. Mashkina E. S., Grechkina M. V. Condensed Matter and Interphases, 2013, vol. 15, no. 1, pp. 28-33. Available at: http://www.kcmf.vsu.ru/resources/t_15_1_2013_006.pdf
14. Mashkina E. S. Condensed Matter and Interphases, 2011, vol. 13, no. 3, pp. 309-314. Available at: http://www.kcmf.vsu.ru/resources/t_13_3_2011_010.pdf
15. Mashkina E. S. Condensed Matter and Interphases, 2015, vol. 17, no. 1, pp. 80-84. Available at: http://www.kcmf.vsu.ru/resources/t_17_1_2015_009.pdf
