Figure 1

$\beta V_{\mathrm{tot}}\left(r\right)$ versus the interparticle separation $r∕\sigma$ for two different temperatures and $f=50$; $T*=k_{B}T∕C$. We call ${\mathrm{SP}}_1$ the interaction studied in Ref. 31, i.e., $A=2.1\sigma$, $B=0.35\sigma$; ${\mathrm{SP}}_2$ the interaction corresponding to $A=1.95\sigma$ and $B=0.21\sigma$; finally, ${\mathrm{SP}}_3$ corresponds to $A=1.875\sigma$ and $B=0.155\sigma$. The figure also shows $V_{\mathrm{rep}}$ corresponding to $f=50$.Reuse & Permissions

Figure 2

Athermal solvent: comparison between the main peak of the structure factors we obtained with MHNC closure and MD simulation with the results obtained by Watzlawek et al. by means of MC simulation and RY closure; $\eta =0.60$, $f=32$ [$S\left(q\right)$ versus $q\sigma$].Reuse & Permissions

Figure 3

Comparison between the radial distribution function (top) and the structure factor (bottom) we obtained with the MHNC closure (solid line) and MD simulation (opaque circles); $\eta =0.628$, $T*=0.25$, $f=50$, ${\mathrm{SP}}_2$.Reuse & Permissions

Figure 4

${\mathrm{SP}}_1$ fluid-fluid phase diagram (opaque triangles up) for a star polymer solution calculated by means of mean field theory and the ideal glass transition lines (filled circles) determined with MCT, which delimit the region where the system is a glass. The inset shows a magnification of the coexistence curve at higher density [31]. On the top of the main figure we present some results about the purely repulsive interaction, which corresponds to the limit of very high temperature: two successive squares (from low to higher densities) delimit the regions where the system is solid at the equilibrium (by Watzlawek et al., MC simulation [11]); the filled triangles represent the densities which delimit the glass region. Notice that the second critical point survives with respect to the glass transition while the region around the second critical point becomes metastable with respect to the freezing. Moreover, we can observe that the densities which delimit the glass region are effectively the same with and without attractive interaction. Lines are simply a guide to the eye.Reuse & Permissions

Figure 5

MCT fluid-glass and glass-fluid lines (computed with MHNC) for different $f$ values and $A=1.95\sigma$, $B=0.21\sigma$ $\left({\mathrm{SP}}_2\right)$: reduced temperature $T*=k_{B}T∕C$ versus reduced packing fraction $\eta =(\pi ∕6)\rho {\sigma }^3$. Opaque symbols, circles, triangles, squares, stars, and diamonds correspond, respectively, to $f=45$,46,50,58,70. In the region between two lines, fixed $f$, the system is in a glass phase. The equivalent symbols on the top of the figure delimit the glass regions for $V_{\mathrm{rep}}\left(r\right)$. We recall that in the limit of $T$ very large we return to the simple repulsive system. Lines are simply a guide to the eye.Reuse & Permissions

Figure 6

${\mathrm{SP}}_2$, nonergodicity parameter $f_q$ versus $q\sigma$ for stars with $f=50$, $\eta =0.8$. Notice the smaller width of this parameter for high temperatures.Reuse & Permissions

Figure 7

${\mathrm{SP}}_2$, $f=50$: magnification of the structure factor (main peak) we obtained with MD simulations at different temperatures. (a) $\eta =0.314$, (b) $\eta =0.628$; $f=50$.Reuse & Permissions

Figure 8

Reduced diffusion coefficient (MD) for different $f$ values and $A=1.95\sigma$, $B=0.21\sigma$ $\left({\mathrm{SP}}_2\right)$. The pluses, circles, triangles, squares, correspond, respectively, to $f=42,45,46,50$ (left panel $\eta =0.366$, right panel $\eta =0.628$). Lines are simply a guide to the eye.Reuse & Permissions

Figure 9

${\mathrm{SP}}_2$, fluid-fluid phase diagram for a star polymer solution calculated by means of mean field theory and the ideal glass transition lines determined with MCT. The legend is the same as in Fig. 4. Note that the second critical point survives with respect to the glass transition while the region around the second critical point becomes metastable with respect to the freezing. Moreover, we can observe that decreasing the temperature the densities which delimit the glass region move to higher values (in these cases the effect is small). Lines are simply a guide to the eye.Reuse & Permissions

Figure 10

MCT fluid-glass lines (computed with MHNC) for different $f$ values and $A=1.875\sigma$, $B=0.155\sigma$ $\left({\mathrm{SP}}_3\right)$: reduced temperature $T*=k_{B}T∕C$ versus reduced packing fraction $\eta =\rho {\sigma }^3$. Filled triangles, squares, and diamonds correspond, respectively, to $f=46$,50,70. The equivalent symbols on the top of the figure delimit the glass region corresponding to $V_{\mathrm{rep}}\left(r\right)$. We recall that in the limit of $T$ very large we return to the simply repulsive system.Reuse & Permissions

Figure 11

Reduced diffusion coefficient (MD) for different $f$ values and ${\mathrm{SP}}_3$. The symbols, plus, circles, triangles, squares, correspond, respectively, to $f=42,45,46,50$ (left panel $\eta =0.366$, right panel $\eta =0.628$). Lines are simply a guide to the eye.Reuse & Permissions

Figure 12

${\mathrm{SP}}_3$, $f=46$: magnification of the structure factor (main peak) we obtained with MD simulations at different temperatures. (a) $\eta =0.55$, (b) $\eta =0.51$.Reuse & Permissions

Figure 13

${\mathrm{SP}}_3$, fluid-fluid phase diagram for a star polymer solution calculated by means of mean field theory and the ideal glass transition lines determined with MCT. The legend is the same as in Fig. 4. Note that the second critical point survives with respect to the glass transition while the region around the second critical point becomes metastable with respect to the freezing. Moreover, we can observe that by decreasing the temperature the densities which delimit the glass region move progressively to higher values. Lines are simply a guide to the eye.Reuse & Permissions

Figure 14

Magnification of the low temperature MCT fluid-glass lines (computed with MHNC) for different $f$ values, ${\mathrm{SP}}_2$, ${\mathrm{SP}}_3$. The temperatures are rescaled with respect to the integrated intensity of the attractive contribution. Lines are simply a guide to the eye.Reuse & Permissions