Sommaire:

Glassy dynamics in two-dimensional and three-dimensional fluids are fundamentally different. The transient localization of particles found upon approaching the glass transition in three-dimensional glass forming liquids is not observed in simulations of two-dimensional glass forming liquids. Furthermore, the temperature dependence of bond-orientational relaxation time is decoupled from the translational relaxation time in two dimensions but not in three dimensions. Lastly, the relationship between the characteristic size of dynamic heterogeneity and the relaxation time are very different in two and three dimensions.

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