Geodesic
Modeling of impurities segregation phenomenon in the melt crystallization process by continuous cellular automata method
Prikladnaâ diskretnaâ matematika, no. 1 (2016), pp. 104-118

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This article is dedicated to the construction of a cellular automata model for the process of binary solutions directional crystallization. The main accent is put onto the occurring processes of impurities redistribution and melt concentration overcooling. The known idea about the action of the concentration overcooling mechanism is included into the model. The results of model calculation of impurity concentration distribution along the track of the sample during the crystallization are presented. Dependence of the melt phase transition temperature on the value of the impurity concentration is determined according to the calculated impurity distribution. Some varieties of uneven impurity distribution as a result of melt concentration overcooling are shown on graphs.
Keywords: cellular automata, segregation, concentration overcooling.
Mots-clés : phase transition 
@article{PDM_2016_1_a9,
     author = {L. M. Shumylyak and V. V. Zhykharevych and S. E. Ostapov},
     title = {Modeling of impurities segregation phenomenon in the melt crystallization process by continuous cellular automata method},
     journal = {Prikladna\^a diskretna\^a matematika},
     pages = {104--118},
     publisher = {mathdoc},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDM_2016_1_a9/}
}
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L. M. Shumylyak; V. V. Zhykharevych; S. E. Ostapov. Modeling of impurities segregation phenomenon in the melt crystallization process by continuous cellular automata method. Prikladnaâ diskretnaâ matematika, no. 1 (2016), pp. 104-118. http://geodesic.mathdoc.fr/item/PDM_2016_1_a9/