Fig. 2.

EMT prediction for the density of states $D\left(\omega \right)$ for a marginally stable material in $d=2$ with $\alpha =-0.30$, at indicated values of $e={\varphi }_c-\varphi$, in (Left) log–log axes and (Right) linear axes. As discussed in the text, this corresponds to a hard disk glass with ${\theta }_e=0.41$. The peak appears at the frequency scale ${\omega }^{\mathrm{\ast }}\sim {\omega }_c\sqrt{e}$.