Figure 1

(a) $q$ dependence of $S(q)$: from left to right, $\varphi =0.009$, 0.016, 0.020, 0.027, 0.040, 0.060, 0.09 0, 0.120. (b) $r_m$ versus $\varphi$. Solid circles, data obtained from $q_{\max }$; open circles, $r_m$ for $\varphi =0.09$ and 0.120 as expected from extrapolation; solid line, power-law fit to the data. Inset: $S(q)$ as a function of $q{r}_m$. The vertical line indicates the $q$ value where $S(q)\approx 1$, $q$ value at which we determine the intensity correlation function.Reuse & Permissions

Figure 2

(a) Effective interparticle energy estimated from $S(q)$ and used in MC-NVT simulations: from right to left $\varphi =0.009$, 0.016, 0.020, 0.027, 0.040, 0.060, 0.090, 0.120. Comparison of $S(q)$ obtained from simulation (solid symbols) and experiment (open symbols) for (b) $\varphi =0.009$, (c) $\varphi =0.027$, and (d) $\varphi =0.090$. (e) $\varphi$ dependence of $r_b$. Inset: effective interaction energy at $r_m$ as a function of $\varphi$. Dashed line: $U(r_m)/k_{B}T=1$.Reuse & Permissions

Figure 3

(a) $g_1(q,t)$ determined at $q\approx 5/r_m$ for $\varphi =0.009$ (black, solid squares), 0.016 (red, solid circles), 0.020 (green, solid triangle up), 0.027 (blue, solid triangle down), 0.040 (light blue, solid diamond), 0.060 (magenta, solid hexagon), 0.090 (dark yellow, open squares), 0.120 (wine, open circles). To account for the change in $q$ at which we measure $g_1(q,t)$, the time axis is normalized by $q^2$. Inset: time dependence of $⟨\Delta r^2(t)⟩$ for $\varphi =0.009$, 0.027, 0.040, 0.090, and 0.120. (b) $\varphi$ dependence of $r_{\mathrm{loc}}$ in units of $r_m$. Dashed line corresponds to the Lindemann criterion, $r_{\mathrm{loc}}/r_m=0.1$. Inset: comparison of the elastic modulus as estimated using the microrheology approach ($G_d$, open symbols) and as calculated from the interparticle potential ($G_s$, solid symbols).Reuse & Permissions