Fig. 2: Testing the predictions of dynamic facilitation.
From: Probing excitations and cooperatively rearranging regions in deeply supercooled liquids
Blue shading indicates state points past the mode-coupling crossover. a Single-particle displacement to illustrate the algorithm to identify excitations (see SI Section IIC for details). The green shading represents the width of the tanh fit from which the duration of the excitation is found. b Scaled temperature dependence of the concentration of excitations in comparison with the data by ref. 20. c Probability distribution of excitation durations Δt. d Mean of the P(Δt) distribution. e Distribution of displacements of particles identified in excitations. The magnitude of the displacements \(\tilde{a}\) is determined from the fit to the displacements shown in (a). f Energy scaling as a function of excitation size. Here the parameter γ = 1, and Eσ = Ea(a = σ). Error bars are standard deviations from fits such as indicated in Supplementary Fig. 5. Further details of the analysis may be found in ref. 20.
