Cooperative heterogeneous facilitation: multiple glassy states and glass-glass transition

Abstract

The formal structure of glass singularities in the mode-coupling theory (MCT) of supercooled liquids dynamics is closely related to that appearing in the analysis of heterogeneous bootstrap percolation on Bethe lattices, random graphs and complex networks. Starting from this observation one can build up microscopic on lattice realizations of schematic MCT based on cooperative facilitated spin mixtures. I discuss a microscopic implementation of the F13 schematic model including multiple glassy states and the glass-glass transition. Results suggest that our approach is flexible enough to bridge alternative theoretical descriptions of glassy matter based on the notions of quenched disorder and dynamic facilitation.

4 pages, 2 figures

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• Disconnected glass-glass transitions and swallowtail bifurcations in microscopic spin models with facilitated dynamics
• Finite-size critical fluctuations in microscopic models of mode-coupling theory
• Percolation approach to glassy dynamics with continuously broken ergodicity
• A note on weakly discontinuous dynamical transitions
• Fredrickson-Andersen model on Bethe lattice with random pinning
• Jamming vs. Caging in Three Dimensional Jamming Percolation
• The large connectivity limit of bootstrap percolation
• Packing hard spheres with short-range attraction in infinite dimension: Phase structure and algorithmic implications
• General Two-Parameter Model of Alpha-Relaxation in Glasses
• Selective Bootstrap Percolation
• Analytical approach to the dynamics of facilitated spin models on random networks