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Dynamics of topological defects in critical binary fluids, metamagnets and 3He-4He mixtures

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  • Ohta, Shigetoshi
  • Ohta, Takao
  • Kawasaki, Kyozi

Abstract

The dynamical theory of topological defects in critical and tricritical systems is presented. Starting with the bulk stochastic equation like the time dependent Ginzburg-Landau model we derive the equation of motion of the topological defects such as interfaces and vortices in a unified way. We are primarily concerned with critical binary fluids, metamagnets and 3He-4He mixtures. The method utilized here is based on the idea originally used by Thiele in his theory of magnetic bubbles.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:128:y:1984:i:1:p:1-24
    DOI: 10.1016/0378-4371(84)90079-7
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    Cited by:

    1. 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.
    2. Meakin, Paul, 1992. "Simplified diffusion-limited aggregation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 1-17.
    3. 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.
    4. Kesten, Harry, 1990. "Upper bounds for the growth rate of DLA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 529-535.
    5. Tokuyama, Michio & Enomoto, Yoshihisa, 1994. "On the theory of late-stage phase separation in off-critically quenched binary systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 673-692.
    6. Tolman, Susan & Meakin, Paul, 1989. "Two, three and four-dimensional diffusion-limited aggregation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 158(3), pages 801-816.
    7. Pikhitsa, P., 1993. "Fractal dimension of the trunk of a diffusion limited aggregation cluster," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(3), pages 317-319.

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