Nucleation and growth of crystals at the intermediate stage of phase transformations in binary melts

被引：57
作者：
Alexandrov, D. V. [1 ]
机构：
[1] Ural Fed Univ, Dept Math Phys, Ekaterinburg 620000, Russia
来源：
PHILOSOPHICAL MAGAZINE LETTERS | 2014年 / 94卷 / 12期
基金：
俄罗斯基础研究基金会;
关键词：
nucleation; binary melts; kinetics; NONLINEAR EVOLUTION; KINETICS; CRYSTALLIZATION;
D O I：
10.1080/09500839.2014.977975
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An exact analytical solution of integro-differential equations, which describe the phase transitions in supercooled binary melts, is constructed with allowance for fluctuating rates of crystal growth. A complete solution of the corresponding Fokker-Planck and balance equations is found for arbitrary nucleation kinetics and growth rates of crystals. In limiting cases, the obtained solutions transform to earlier known solutions for a special form of diffusivity in the space of crystal sizes and purely kinetic and "diffusion-kinetic" growth rates of nuclei.
引用
收藏
页码：786 / 793
页数：8
相关论文
共 50 条
  • [31] Kinetics of Nucleation and Growth of Calcium Carbonate and Calcium Sulphate Crystals from Aqueous Solutions
    Tikhonov, A. Yu.
    Myasnikov, S. K.
    Kulov, N. N.
    THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING, 2020, 54 (04) : 529 - 538
  • [32] Crystal nucleation and growth in binary phase-field theory
    Gránásy, L
    Börzsönyi, T
    Pusztai, T
    JOURNAL OF CRYSTAL GROWTH, 2002, 237 : 1813 - 1817
  • [33] The bulk crystal growth in binary supercooled melts with allowance for heat removal
    Makoveeva, Eugenya V.
    Alexandrov, Dmitri V.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2022, 231 (06) : 1101 - 1106
  • [34] Unsteady-state particle-size distributions at the coagulation stage of phase transformations
    Alexandrov, Dmitri V.
    Ivanov, Alexandr A.
    Alexandrova, Irina V.
    EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2019, 228 (01) : 161 - 167
  • [35] Phase Transformations in Monazite–NaF Melts
    L. M. Delitsyn
    V. A. Sinel’shchikov
    R. V. Kulumbegov
    Russian Metallurgy (Metally), 2022, 2022 : 122 - 127
  • [36] Sigma Phase: Nucleation and Growth
    da Fonseca, Glaucio Soares
    Nilo Mendes, Priscila Sousa
    Martins Silva, Ana Carolina
    METALS, 2019, 9 (01)
  • [37] Crystal Nucleation and Growth in Undercooled Melts of Pure Zr, Binary Zr-Based and Ternary Zr-Ni-Cu Glass-Forming Alloys
    Herlach, Dieter M.
    Kobold, Raphael
    Klein, Stefan
    JOM, 2018, 70 (05) : 726 - 732
  • [38] Model of Initial Stage of Growth of Intermediate Phase with Strong Concentration Dependence of Diffusivity
    Gusak, A. M.
    Podolyan, O. M.
    METALLOFIZIKA I NOVEISHIE TEKHNOLOGII, 2010, 32 (05): : 629 - 636
  • [39] Nucleation and growth of fluoride crystals by agglomeration of the nanoparticles
    Fedorov, P. P.
    Osiko, V. V.
    Kuznetsov, S. V.
    Uvarov, O. V.
    Mayakova, M. N.
    Yasirkina, D. S.
    Ovsyannikova, A. A.
    Voronov, V. V.
    Ivanov, V. K.
    JOURNAL OF CRYSTAL GROWTH, 2014, 401 : 63 - 66
  • [40] Level-set simulation of anisotropic phase transformations via faceted growth
    Moghadam, M. M.
    Voorhees, P. W.
    COMPUTATIONAL MATERIALS SCIENCE, 2018, 143 : 454 - 461
12345