Geodesic
Mathematical description of the nucleation in supercooled eutectic melt
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 66-77

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Theoretical research and mathematical description of a supercooled eutectic melt are carried out. The special emphasis is placed on the mutual influence of dynamically changing parameters (concentrations of components and the temperature of the melt) on processes of formation and growth of crystal clusters of various phases in a supercooled melt. A mathematical description is obtained. The equations of the mathematical model are used to calculate nucleation and growth of crystal clusters in $\mathrm{Fe}$-$\mathrm{B}$ melt at various initial concentrations of components and different supercooling. This allowed to receive new information about nucleation and crystallization eutectic melts.
Keywords: nucleation, eutectic, supercooling, nucleation model, growth model. 
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     author = {A. D. Drozin and M. V. Dudorov and V. E. Roshchin and P. A. Gamov and L. D. Menikhes},
     title = {Mathematical description of the nucleation in supercooled eutectic melt},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {66--77},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2012_6_a11/}
}
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A. D. Drozin; M. V. Dudorov; V. E. Roshchin; P. A. Gamov; L. D. Menikhes. Mathematical description of the nucleation in supercooled eutectic melt. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 66-77. http://geodesic.mathdoc.fr/item/VYURM_2012_6_a11/