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

TL;DR

This paper develops a microscopic model based on cooperative facilitation to describe multiple glassy states and glass-glass transitions, linking mode-coupling theory with heterogeneous bootstrap percolation.

Contribution

It introduces a microscopic implementation of the F13 schematic model incorporating multiple glassy states and transitions, bridging different theoretical frameworks.

Findings

The model captures multiple glassy states.

It reproduces glass-glass transition phenomena.

The approach connects quenched disorder and dynamic facilitation theories.

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.