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Abstract <p>In mathematical modeling of crystallization process, we have used the results of numerical experiment, in which a striated structure of the initial stage of the process governed by diffusive foliation mechanism has been detected. This is in qualitative agreement with a natural experiment. In G.I. Barenblatt’s terminology, the process is associated with the converted state flux at the initial stage of crystallization up to the formation of a dendrite structure. The universality of mathematical modeling principles and the relation with the critical processes of destruction, sintering of materials, and crystallization of binary alloys has been demonstrated based on their physical generality.</p>

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Mathematical Modeling of Crystallization of Binary Alloys (Local Equilibrium Approximation)

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • E. V. Radkevich,
  • A. V. Ragutkin,
  • O. A. Vasil’eva,
  • M. E. Stavrovskii,
  • M. I. Sidorov,
  • I. N. Kravchenko

摘要

Abstract

In mathematical modeling of crystallization process, we have used the results of numerical experiment, in which a striated structure of the initial stage of the process governed by diffusive foliation mechanism has been detected. This is in qualitative agreement with a natural experiment. In G.I. Barenblatt’s terminology, the process is associated with the converted state flux at the initial stage of crystallization up to the formation of a dendrite structure. The universality of mathematical modeling principles and the relation with the critical processes of destruction, sintering of materials, and crystallization of binary alloys has been demonstrated based on their physical generality.