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
  • [1] Derivation of the LSW‐Theory for Ostwald Ripening by Homogenization Methods
    Barbara Niethammer
    [J]. Archive for Rational Mechanics and Analysis, 1999, 147 : 119 - 178
  • [2] On the parabolic Stefan problem for Ostwald ripening with kinetic undercooling and inhomogeneous driving force
    Antonopoulou, D. C.
    Karali, G. D.
    Yip, N. K.
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (09) : 4679 - 4718
  • [3] Derivation of the LSW-theory for Ostwald ripening by homogenization methods
    Niethammer, B
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1999, 147 (02) : 119 - 178
  • [4] Continuous distribution theory for Ostwald ripening: comparison with the LSW approach
    Madras, G
    McCoy, BJ
    [J]. CHEMICAL ENGINEERING SCIENCE, 2003, 58 (13) : 2903 - 2909
  • [5] Ostwald Ripening of the Platinum Nanoparticles in the Framework of the Modified LSW Theory
    Vengrenovich, R. D.
    Ivanskii, B. V.
    Panko, I. I.
    Yarema, S. V.
    Kryvetskyi, V. I.
    Stasyk, M. O.
    [J]. JOURNAL OF NANOMATERIALS, 2014, 2014
  • [6] Non-Self-Similar Behavior in the LSW Theory of Ostwald Ripening
    Barbara Niethammer
    Robert L. Pego
    [J]. Journal of Statistical Physics, 1999, 95 : 867 - 902
  • [7] Non-self-similar behavior in the LSW theory of Ostwald ripening
    Niethammer, B
    Pego, RL
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1999, 95 (5-6) : 867 - 902
  • [8] KINETIC-EQUATIONS FOR OSTWALD RIPENING
    TOKUYAMA, M
    KAWASAKI, K
    ENOMOTO, Y
    [J]. PHYSICA A, 1986, 134 (02): : 323 - 338
  • [9] ON THE KINETIC DESCRIPTION OF OSTWALD RIPENING IN ELASTIC MEDIA
    SCHMELZER, J
    GUTZOW, I
    [J]. ZEITSCHRIFT FUR PHYSIKALISCHE CHEMIE-LEIPZIG, 1988, 269 (04): : 753 - 767
  • [10] Kinetic synergistic transitions in the Ostwald ripening processes
    Sachkov, I. N.
    Turygina, V. F.
    Dolganov, A. N.
    [J]. XI INTERNATIONAL SCIENTIFIC AND TECHNICAL CONFERENCE - APPLIED MECHANICS AND DYNAMICS SYSTEMS, 2018, 944