Fig. 2: Macroscopic relation between structural order and dynamics.
From: Structural order as a genuine control parameter of dynamics in simple glass formers
a Structure relaxation time \({\tau }_{\alpha }\) as a function of structural order \(1/(\Theta -{\Theta }_{0})\) in 2D. b \({\tau }_{\alpha }\) as a function \(1/(\Omega -{\Omega }_{0})\) in 3D. In the (orange) supercooled regime, the solid lines are commonly the fitting results to the data by the VFT-like relation, \({\tau }_{\alpha }\,=\,{\tau }_{0}\exp [{D}_{2}{X}_{0}/(X-{X}_{0})]\), with \(X\) being \(\Theta\) or \(\Omega\) in 2D and 3D, respectively. See Table 1 for the fitting parameters. The vertical arrows indicate the onset of structural order at \({T}_{{\rm{on}}}\), above which the dynamics does not follow the above VFT-like relation.
