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Kinetic equations for Ostwald ripening

Author

Listed:
  • Tokuyama, Michio
  • Kawasaki, Kyozi
  • Enomoto, Yoshihisa

Abstract

A new viewpoint on the kinetics of Ostwald ripening is presented by studying the kinetic equation recently derived for the late stage of phase separation. It is shown that the average droplet radius grows as t13 and the number density of droplets decays as t-1. An important effect of a soft (distant) collision on coarsening is discussed. Thus the relative droplet size distribution function is found to obey a second-order differential equation. The coarsening rate is also expressed in terms of the distribution function, leading to a dependence on the volume fraction of the minority phase.

Suggested Citation

  • Tokuyama, Michio & Kawasaki, Kyozi & Enomoto, Yoshihisa, 1986. "Kinetic equations for Ostwald ripening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(2), pages 323-338.
    • Handle: RePEc:eee:phsmap:v:134:y:1986:i:2:p:323-338
    DOI: 10.1016/0378-4371(86)90053-1
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    References listed on IDEAS

    as
    1. H. Inoue & H. Kumahora & Y. Yoshizawa & M. Ichimura & O. Miyatake, 1983. "Random Numbers Generated by a Physical Device," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 32(2), pages 115-120, June.
    2. Ohta, Shigetoshi & Ohta, Takao & Kawasaki, Kyozi, 1984. "Dynamics of topological defects in critical binary fluids, metamagnets and 3He-4He mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 1-24.
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