title: Critical exponents of isotropic-hexatic phase transition in the hard-disk system.
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 tau 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 eta is also studied by analyzing the fluctuation of the order parameter at the criticality and estimated as eta=0.25 (2). These results are consistent with the prediction by the Kosterlitz-Thouless-Halperin-Nelson-Young theory.
authors.affiliation: Department of Applied Physics, School of Engineering, The University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan.
authors.forename: Hiroshi
authors.initials: H
authors.lastname: Watanabe
authors.forename: Satoshi
authors.initials: S
authors.lastname: Yukawa
authors.forename: Yukiyasu
authors.initials: Y
authors.lastname: Ozeki
authors.forename: Nobuyasu
authors.initials: N
authors.lastname: Ito