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Elementary derivation of kinetic equations for Ostwald ripening

Author

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

Abstract

A direct and elementary derivation is presented for the kinetic equation of the single droplet distribution function and the variance equation that describe Ostwald ripening. The derivation is basically algebraical and the screening effects of diffusional interactions among droplets is taken into account automatically by a projection technique. The results correct up to the square root of the volume fraction confirm the kinetic equations derived previously by Tokuyama and Kawasaki except for a correction to the variance equation.

Suggested Citation

  • Kawasaki, Kyozi & Enomoto, Yoshihisa & Tokuyama, Michio, 1986. "Elementary derivation of kinetic equations for Ostwald ripening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 135(2), pages 426-445.
    • Handle: RePEc:eee:phsmap:v:135:y:1986:i:2:p:426-445
    DOI: 10.1016/0378-4371(86)90152-4
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    References listed on IDEAS

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    1. 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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