Fig. 6.

The phase diagram of the system suggests a spontaneous vitrification at large M. The figure shows the phase space (1/M, c) for systems of rings with length M and in which a fraction c of rings are permanently frozen in space and time. The transition line $\left(1/M^{†},c^{†}\right)$ is shown together with an exponential fit (dotted line). The colored data points in the diagram indicate whether the system displays a finite diffusion coefficient at large times (red) or whether it is irreversibly caged with vanishing $D_{\text{eff}}$ (blue). Along the transition line, we also report the value of the probability p of finding an uncaged ring in any one test performed at fixed c (see Phase Diagram of the System for details).