Dynamics of an Initially Random Fractal Interface

  • Orihara Hiroshi
    Synthetic Crystal Research Laboratory, Faculty of Engineering, Nagoya University
  • Ishibashi Yoshihiro
    Synthetic Crystal Research Laboratory, Faculty of Engineering, Nagoya University

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  • Dynamics of an Initially Random Fractal

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We investigate the dynamic behavior of the interface in a two-dimensional space, the velocity of which is proportional to the local curvature and which is a random fractal at the initial moment. It is shown theoretically that the correlation function of the tangential unit vector of the interface satisfies a scaling law. The dynamics of a disclination in a quenched nematic liquid crystal is studied experimentally to exemplify the above theory and a good agreement between them is obtained. The difference between the dynamics of the single disclination and the assembly of disclinations is discussed.

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