Figure 2
From: Heterogeneous shear elasticity of glasses: the origin of the boson peak

Resonance frequencies ΩL,T(k) (straight lines) and Brillouin line widths ΓL,T(k), multiplied with π for three temperatures T1 = 5 · 10−5 (circles), T2 = 5 · 10−4 (triangles), T3 = 5 · 10−3 (diamonds).
Upper (blue) curves: longitudinal, lower (red) curves: transverse. The three curves for ΩL,T(k) lie on top of each other. The dashed line indicates the BP position, which is near the transverse Ioffe-Regel crossing. Insert: Reduced density of states g(ω)/ω2 as obtained from the velocity autocorrelation function for the three temperatures T1 (red circles), T2 (green triangles), T3 (orange diamonds). The arrow indicates the Debye frequency ωD = 7.54 in LJ units.