The model of microcrystallization of 50 % binary metallic melts in the diffusive relaxation mode
Abstract
Objective. This research investigates the model of microcrystallization of 50% binary metallic melts in the diffusive-relaxation procedure. The authors developed a scheme of a diphase transition region (DTR) defined in the concentration space of selected growth monomers.
Methods and methodology. The concentration of growth monomers belonged to two different aggregate states: the melt and the crystalline phase. A kinetic differential-difference equation describing the time evolution of the DTR structure was developed. The study used the model of discontinuous DTR configuration formed by the fluctuation mechanism of the above-mentioned concentrations of growth monomers of a limited spectrum. The DTR separates two massive adjoining phases – the binary melt and the crystal.
Results. Using approximate nearest neighbours the study defined the frequencies of the growth monomer exchange between the two adjoining massive phases, the binary melt and the crystal, as functions of their interaction energies and the temperature of the crystallizing system. This model corresponds to the real length interface of two contiguous phases, and is known as the Kossel-Stranski crystal.
Conclusion. The average crystallization rate of so-called diphase transition region (DTR) in the concentration space of growth monomers was recorded. The definition of diphase transition region kinetics took into account the principal peculiarities of the concentrations of spontaneous fluctuations of limited spectrum, i.e. its discontinuous form. Moreover, some problems associated with the order-disorder processes in binary crystalline phases were considered.
CONFLICT OF INTEREST
The authors declare the absence of obvious and potential conflicts of interest related to the publication of this article.
REFERENCES
- Baikov Yu. A., Petrov N. I. Russian Physics Journal, 2014, vol. 57, no. 4, pp. 459-468. https://doi.org/10.1007/s11182-014-0262-2
- Baikov Yu. A., Petrov N. I. Russian Physics Journal, 2014, vol. 57, 5, pp. 598-614. https://doi.org/10.1007/s11182-014-0282-y
- Baikov Yu. A., Petrov N. I. Russian Physics Journal, 2014, vol. 57, no. 4, pp. 459-468. https://doi.org/10.1007/s11182-014-0262-2
- Baikov Yu. A., Petrov N. I. Russian Physics Journal, 2014, vol. 57, no. 5, pp. 598-614. https://doi.org/10.1007/s11182-014-0282-y
- Baikov Yu. A., Petrov N. I. Vestnik of MGOU, ser. "Physics and Mathematics", 2014, no. 2, p. 63. URL: https://www.vestnik-mgou.ru/Articles/Doc/7435 (in Russ.)
- Petrov N. I. The Crystal Disordering Study When Growing From the Binary Metallic Melts. National University of Science and Technology «MISiS» Dis. Cand. Phys. - Mat. Sci. Moscow, 2017, 180 p. URL: http://misis.ru/files/6902/Petrov_AR.pdf (in Russ.)
- Sarkisov P. D., Baikov Yu. A., Meshalkin V. P. The One – and Binary Metallic Melts Mathematical Modeling Crystallization. Moscow, Physmatlit Publ., 2003, 378 p. URL: https://istina.msu.ru/publications/book/101828661/ (in Russ.)
- Sarkisov P. D., Baikov Yu. A., Meshalkin V. P. Collection of Works. “The Optimization of Composition, Structure and Properties of Metals, Oxides, Composites, Nano – and Amorphous Materials”, Russia-Israel Conference, Moscow – Yekaterinburg, 2002, p. 172. URL: https://istina.msu.ru/publications/article/103469568/
- Sarkisov P. D., Meshalkin V. P., Baikov Yu. A. Collection of Works. “The Optimization of Composition, Structure and Properties of Metals, Oxides, Composites, Nano – and Amorphous Materials”, Russia-Israel Conference, Moscow – Yekaterinburg, 2002, 184. URL: https://istina.msu.ru/publications/article/103469593/
- Sarkisov P. D., Baikov Yu. A., Meshalkin V. P. Doklady Physics, 2003, vol. 48, 6, pp. 290-295. https://doi.org/10.1134/1.1591316
- Baikov Yu. A., Chistyakov Yu. D. News of USSR Academy of Sciences, ser. Metals, 1990, no. 4, p. 53. (in Russ.)
- Baikov Yu. A., Chistyakov Yu. D. News of USSR Academy of Sciences, ser. Metals, 1991, no. 3, p. 62. (in Russ.)
- Baikov Yu. A., Zelenev Yu. V., Haubenreisser W., Pfeiffer H. Stat. Solidi (a), 1980, Bd. 61, no. 2, p. 435. https://doi.org/10.1002/pssa.2210610214
- Chistyakov Yu. D., Baikov Yu. A., Schneider H. G., Ruth V. Crystal Research and Technology, 1985, vol. 20, no. 8, p. 1007. https://doi.org/10.1002/crat.2170200802
- Chistyakov Yu. D., Baikov Yu. A., Schneider H. G., Ruth V. Crystal Research and Technology, 1985, vol. 20, no. 9, p. 1149. https://doi.org/10.1002/crat.2170200903
- Schneider H. G. Collection: Advances in Epitaxy and Endotaxy. Akademiai Kiado, Budapest, 1976, p. 23