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Critical exponents of isotropic-hexatic phase transition in the hard-disk system

Hiroshi Watanabe1, Satoshi Yukawa1, Yukiyasu Ozeki2, and Nobuyasu Ito1

  • 1Department of Applied Physics, School of Engineering, The University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
  • 2Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku 152-8551, Japan

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Phys. Rev. E 69, 045103(R) – Published 26 April, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.045103

Abstract

The hard-disk system is studied by observing the nonequilibrium relaxation behavior of a bond-orientational order parameter. The density dependence of characteristic relaxation time τ is estimated from the finite-time scaling analysis. The critical point between the fluid and the hexatic phase is refined to be 0.899(1) by assuming the divergence behavior of the Kosterlitz-Thouless transition. The value of the critical exponent η is also studied by analyzing the fluctuation of the order parameter at the criticality and estimated as η=0.25(2). These results are consistent with the prediction by the Kosterlitz-Thouless-Halperin-Nelson-Young theory.

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Outline

Information

Phys. Rev. E 69, 045103(R)– Published 26 April, 2004
  • Received 6 September 2003

© 2004 American Physical Society

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