Fig. 4: Microscopic relation between structural order and dynamics.
From: Structural order as a genuine control parameter of dynamics in simple glass formers
a Microscopic \({\tau }_{\alpha }\) as a function of bare structural order \(\Theta\) for 2D BM and PM (\(\Delta\,=\,11 \%\) and \(13 \%\)) at different temperatures. b Corresponding to a, microscopic \({\tau }_{\alpha }\) as a function of coarse grained structural order relative to that at \({T}_{0}\), \({\Theta }_{{\rm{CG}}}-{\Theta }_{0}\). On top of the scatter plots, the relations between macroscopic \({\tau }_{\alpha }\) and global structural order are shown together. c, d The same analysis as in a and b for 3D systems. For the ease of visualisation, here we show scatter plots only for 3D PM (\(\Delta\,=\,8\%\)) and put those for BM and PM (\(\Delta\,=\,13\%\)) in Supplementary Fig. 16. See Table 1 for the parameters used in the plots. The scatter plots are shown for \(T\,=\,2.4,2.0,1.7,1.5,1.35\,\times\,1{0}^{-3}\) for 2D BM, \(T\,=\,3.0,2.6,2.3,2.0,1.9\,\times\,1{0}^{-3}\) for 2D PM (\(\Delta\,=\,11 \%\)), and \(T\,=\,2.8,2.3,2.0,1.8,1.7,1.51\,\times\,1{0}^{-3}\) for 2D PM (\(\Delta\,=\,13 \%\)), and \(T\,=\,1.25,1.1,1.0,0.9,0.8\,\times\,1{0}^{-3}\) for 3D PM (\(\Delta\,=\,8\%\)). See Supplementary Fig. 15 for the lengths used for coarse graining. In all cases, the data colour changes from red to blue with a decrease in \(T\).
