Figure 1

Glass transition phase diagram of the (a) hard-sphere and (b) Asakura-Oosawa binary mixture of size asymmetry $\delta =0.09$. The thick solid line is the transition from fully ergodic to fully arrested states. The transition from fully ergodic to partially arrested states (light shaded area) is shown as a dashed line. The polymer localization transition is shown as a dotted line. The dark area in (b) is the spinodal region of the AO model. The light dash-dotted line is the monocomponent SCGLE prediction of the colloid-glass transition using $S_{cc}(k)$ as the static input. In (c) we plot the colloid and the polymer localization lengths of the AO mixture along the composed colloid-glass transition line (dark solid lines, with $l_p$ reduced by a factor 100) and along 8 lines at fixed ${\varphi }_c$ in the range $0.605\le {\varphi }_c\le 0.665$, increasing in the direction of the arrow (dotted lines). The insets show the nonergodicity parameters slightly above (dashed lines) and below (solid lines) the polymer localization transition for ${\varphi }_c=0.605$ (left) and ${\varphi }_c=0.63$ (right). In (d) we show the composed colloid-glass transition lines for both models in reduced units (${\varphi }_c/{\varphi }_c^{(E)}$, ${\varphi }_p/{\varphi }_p^{(E)}$), and compare them with the experimental data of Ref. 13; the solid circles (solid squares) represent repulsive (attractive) glasses and the empty symbols represent ergodic states.Reuse & Permissions

Figure 2

Time dependence of the correlator $f(k,t)=F_{cc}(k,t)/S_{cc}(k)$ of the AO colloid-polymer mixture model with $\delta =0.09$ at values of ${\varphi }_c/{\varphi }_c^{(E)}$ and ${\varphi }_p/{\varphi }_p^{(E)}$ corresponding to the points labeled as $B$, $C$, and $I$ in Fig. 1d and in Fig. 1 of Ref. 13. These results are also compared with the experimental data reported in the latter reference. Dashed lines are the SCGLE theoretical predictions for the Asakura-Oosawa model, with $D_c^0/D_p^0=0.09$. The symbols are experimental data of the colloid-polymer mixture of Fig. 7 of Ref. 13 The wave vector $k^{*}$ is the position of the main peak of $S_{cc}(k)$.Reuse & Permissions