Critical dynamical heterogeneities close to continuous second-order glass transitions

Abstract

We analyse, using Inhomogenous Mode-Coupling Theory, the critical scaling behaviour of the dynamical susceptibility at a distance epsilon from continuous second-order glass transitions. We find that the dynamical correlation length xi behaves generically as epsilon^{-1/3} and that the upper critical dimension is equal to six. More surprisingly, we find activated dynamic scaling, where xi grows with time as [ln(t)]^2 exactly at criticality. All these results suggest a deep analogy between the glassy behaviour of attractive colloids or randomly pinned supercooled liquids and that of the Random Field Ising Model.

5 pages

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• Random-Field Ising like effective theory of the glass transition: I Mean-Field Models
• The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions
• Dynamical Susceptibilities Near Ideal Glass Transitions
• Glassy dynamics of sticky hard spheres beyond the mode-coupling regime
• Fredrickson-Andersen model on Bethe lattice with random pinning
• Theory of Kinetically-Constrained-Models Dynamics
• Theory of the $\beta$-Relaxation Beyond Mode-Coupling Theory: A Microscopic Treatment
• Tagged-particle motion in quasi-confined colloidal hard-sphere liquids