Fig. 3

Density of states and spatial localization of quasi-localized modes. a Density of states Dloc(ω) for quasi-localized modes for N = 48,000, with fits to Dloc = A4ω4. b Tp dependence of A4 for N = 48,000 (circles), 96,000 (squares), and 192,000 (triangles), with the mode-coupling temperature Tc and the estimated experimental glass temperature Tg indicated. c Probability distribution of the participation ratio for quasi-localized modes in the frequency-range of the ω4 scaling for various Tp