Dynamical Criticality in Higher-Dimensional Equilibrium Glasses Obtained by Swap Monte Carlo

Recent implementation of the swap Monte Carlo algorithm to suitably optimized continuously polydisperse mixtures has been remarkably successful in bypassing the sluggishness associated with glass formation in dimensions, d=2 to 8. This advance has renewed the interest in exploring the finite-dimensional echo of the dynamical transition, which leads to a power-law diverging relaxation time in mean-field treatments and in the mode-coupling theory of glasses. Despite competing activated processes, such as hopping and glass nucleation, traces of the dynamics criticality can be observed, especially on the glass-side of the transition. The mean-field-like features of caging and of the dynamical susceptibility are here specifically examined.