Abstract
As liquids approach the glass transition temperature, dynamical heterogeneity emerges as a crucial universal feature of their behavior. Dynamic facilitation, where local motion triggers further motion nearby, plays a major role in this phenomenon. Here we show that long-ranged, elastically mediated facilitation appears below the mode coupling temperature, adding to the short-range component present at all temperatures. Our results suggest deep connections between the supercooled liquid and glass states, and pave the way for a deeper understanding of dynamical heterogeneity in glassy systems.
Highlights
As liquids approach the glass transition temperature, dynamical heterogeneity emerges as a crucial universal feature of their behavior
Facilitation plays a major role in the spatiotemporal pattern of correlated relaxation events characteristic of supercooled liquids, referred to as “dynamical heterogeneity,” which is perhaps the most striking hallmark of glassy dynamics [1]
In elastic media induce signature quadrupolar perturbations to the stress and strain fields in the surrounding material which decay as power laws in space [10]. The role of such fields in triggering relaxation elsewhere when an amorphous solid is mechanically deformed has been the focus of intense research activity during the last decade [11,12,13,14,15,16,17]. This triggering by stress is a type of “elastically mediated” dynamic facilitation that has been thoroughly studied in the context of the rheology of amorphous solids by means of elastoplastic models [16], in which each rearrangement perturbs the stress of the surrounding material, thereby triggering new rearrangements when the perturbing stress surpasses some local threshold value
Summary
As liquids approach the glass transition temperature, dynamical heterogeneity emerges as a crucial universal feature of their behavior. At high temperatures facilitation appears to be a local, short-ranged process [2,3,4,5,6].
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