Crossover from $\beta$- to $\alpha$-relaxation in cooperative facilitation dynamics

Abstract

$\beta$ and $\alpha$ relaxation processes are dynamical scaling regimes of glassy systems occurring on two separate time scales which both diverge as the glass state is approached. We study here the crossover scaling from $\beta$- to $\alpha$- relaxation in the cooperative facilitation scenario (CFS) and show that it is quantitatively described, with no adjustable parameter, by the leading order asymptotic formulas for scaling predicted by the mode-coupling theory (MCT). These results establish: (i) the mutual universality of the MCT and CFS, and (ii) the existence of a purely dynamic realization of MCT which is distinct from the well established random-first order transition scenario for disordered systems. Some implications of the emerging kinetic-static duality are discussed.

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Cited by in corpus (9)

• Mean field theory of the swap Monte Carlo algorithm
• A localization transition underlies the mode-coupling crossover of glasses
• Solvable Models of Supercooled Liquids in Three Dimensions
• The fate of the bootstrap percolation hybrid critical point in finite dimension
• Scaling and universality in glass transition
• The Fredrickson-Andersen model with random pinning on Bethe lattices and its MCT transitions
• Thermodynamics of the Fredrickson-Andersen Model on the Bethe Lattice
• Cluster structure and dynamics in gels and glasses
• Theory of Kinetically-Constrained-Models Dynamics