Geodesic
Mathematical description of crystallization by the virtual volume method
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 78-88

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Using the virtual volume method, a mathematical description of the crystallization of multicomponent metallic melts is obtained. Model takes into account the effects of dynamically changing parameters such as component concentrations and temperature, on the processes of nucleation and growth of the nuclei.
Keywords: nucleation, eutectic, supercooling, growth model. 
@article{VYURM_2012_6_a12,
     author = {M. V. Dudorov and A. D. Drozin and V. E. Roshchin and P. A. Gamov and L. D. Menikhes},
     title = {Mathematical description of crystallization by the virtual volume method},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
     pages = {78--88},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURM_2012_6_a12/}
}
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M. V. Dudorov; A. D. Drozin; V. E. Roshchin; P. A. Gamov; L. D. Menikhes. Mathematical description of crystallization by the virtual volume method. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, no. 6 (2012), pp. 78-88. http://geodesic.mathdoc.fr/item/VYURM_2012_6_a12/