Fig. 1: Relaxation well below the mode-coupling crossover.
From: Probing excitations and cooperatively rearranging regions in deeply supercooled liquids
Blue shading indicates state points past the mode-coupling crossover. a Angell plot of relaxation time τα plotted against temperature T and compressibility factor Z. scaled with Vogel–Fulcher–Tamman (VFT) parameters (Eq. (1)). The dashed line is the VFT fit for Kob–Anderson (KA) 2:1. The KA data are plotted with respect to Tvft, as is the fit while the experimental data are plotted with respect to Zvft. The legend in (a) also applies to (b–d), although no experimental data are shown in (c, d). b Relaxation time scaled with parameters of the parabolic fit (Eq. (2)). The dashed line is the parabolic fit for KA 2:1. Similarly to (a), the KA data are plotted with respect to Tvft, as is the fit while the experimental data are plotted with respect to Zvft. Blue shading indicates state points past the mode-coupling crossover. c Maximum of dynamic susceptibility χ4 vs. τα, compared with the \({\tau }_{\alpha }^{1.2}\) scaling seen previously16, 31 (black dashed line). Inset: dynamic susceptibility χ4(t) for different temperatures for the KA 2:1 system. d Dynamic lengthscale inferred from the maximum of dynamic susceptibility \({\chi }_{4},{\xi }_{\chi }={({\chi }_{4}^{\max })}^{3.0}\)32 and four-point dynamic lengthscale ξ4 evaluated for larger system size. Blue shading indicates state points past the mode-coupling crossover. Specifically, these values are Tmct = 0.55 (0.589) and 0.70 (0.640) for KA 2:1 and 3:1, respectively, and Zmct = 25.1 (0.689) for the experiments. Numbers in brackets denote the scaling by the VFT point as used in (a).
