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

Hiroshi Watanabe, Satoshi Yukawa, Yukiyasu Ozeki, Nobuyasu Ito

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 [Formula presented] is estimated from the finite-time scaling analysis. The critical point between the fluid and the hexatic phase is refined to be [Formula presented] by assuming the divergence behavior of the Kosterlitz-Thouless transition. The value of the critical exponent [Formula presented] is also studied by analyzing the fluctuation of the order parameter at the criticality and estimated as [Formula presented]. These results are consistent with the prediction by the Kosterlitz-Thouless-Halperin-Nelson-Young theory.

Original languageEnglish
Pages (from-to)4
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number4
Publication statusPublished - 2004
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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