Non-equilibrium Relaxation Analysis on Two-dimensional Melting

Abstract

The melting transition in the hard-disk system is considered. Non-equilibrium relaxation analysis of the six-fold bond-orientational order parameter has been carried out. The critical point between the hexatic and the fluid phase is determined on the basis of the dynamic scaling hypothesis. The value of the critical exponent $\eta$ is determined from the fluctuation of the order parameter at the criticality as $\eta =0.25(2)$ which is consistent with the prediction by the Kosterlitz-Thouless-Halperin-Nelson-Young theory.

arXiv comment8 pages, 5 figures. submitted to Prog. Theor. Phys. Suppl. as a proceedings of Symposium on the 50th anniversary of the Alder transition