Figure 3
From: Direct observation of melting in a two-dimensional driven granular system

Orientational/Translational correlation functions for different packing fractions.
(a) Orientational correlation function g6(r) in a semi-logarithmic plot. The solid lines are the power law decay (r−1/4) and exponential decay (e−1/3). The r−1/4 decaying behaviour at the hexatic-liquid transition is predicted by KTHNY theory. (b) Translational correlation function gT(t) in a log-log plot. The legends apply to both panels.