The LSW model for Ostwald ripening with kinetic undercooling

被引:11
|
作者
Niethammer, B [1 ]
机构
[1] Univ Bonn, Inst Angew Math, D-53115 Bonn, Germany
关键词
D O I
10.1017/S0308210500000718
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study a Stefan problem for coarsening of many small particles of solid phase in undercooled liquid phase which includes surface tension and kinetic undercooling effects. A mean-field model is derived by homogenization of the free boundary problem. It extends the classical theory of Lifshitz et al. by taking into account effects due to kinetic undercooling.
引用
收藏
页码:1337 / 1361
页数:25
相关论文
共 50 条
  • [21] Control of Ostwald ripening
    Dong, Yanhui
    Zhang, Dan
    Li, Daguang
    Jia, Heng
    Qin, Weiping
    [J]. SCIENCE CHINA-MATERIALS, 2023, 66 (03) : 1249 - 1255
  • [22] ON THE OSTWALD RIPENING THEORY
    VENGRENOVITCH, RD
    [J]. ACTA METALLURGICA, 1982, 30 (06): : 1079 - 1086
  • [23] CORRELATIONS AND OSTWALD RIPENING
    MARDER, M
    [J]. PHYSICAL REVIEW A, 1987, 36 (02): : 858 - 874
  • [24] KINETICS OF OSTWALD RIPENING
    DADYBURJOR, DB
    RUCKENSTEIN, E
    [J]. JOURNAL OF CRYSTAL GROWTH, 1977, 40 (02) : 279 - 290
  • [25] Ostwald ripening in emulsions
    Taylor, P
    [J]. ADVANCES IN COLLOID AND INTERFACE SCIENCE, 1998, 75 (02) : 107 - 163
  • [26] Homoepitaxial Ostwald ripening
    Petersen, M
    Zangwill, A
    Ratsch, C
    [J]. SURFACE SCIENCE, 2003, 536 (1-3) : 55 - 60
  • [27] Error estimates for full discretization of a model for Ostwald ripening
    da Silva, Patricia Nunes
    Boldrini, Jose Luiz
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (7-8) : 905 - 926
  • [28] OSTWALD RIPENING OF PRECIPITATES
    KAHLWEIT, M
    [J]. ADVANCES IN COLLOID AND INTERFACE SCIENCE, 1975, 5 (01) : 1 - 35
  • [29] THE THEORY OF OSTWALD RIPENING
    VOORHEES, PW
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1985, 38 (1-2) : 231 - 252
  • [30] OSTWALD RIPENING IN EMULSIONS
    TAYLOR, P
    [J]. COLLOIDS AND SURFACES A-PHYSICOCHEMICAL AND ENGINEERING ASPECTS, 1995, 99 (2-3) : 175 - 185