Spatiotemporal hierarchy of thermal avalanches (2507.02573v1)

Abstract: In amorphous solids, frustrated elastic interactions conspire with thermal noise to trigger anomalously slow sequences of plastic rearrangements, termed "thermal avalanches", which play an important role during creep and glassy relaxations. Here we uncover the complex spatiotemporal structure of thermal avalanches in simulations of a model amorphous solid. We systematically disentangle mechanical and thermal triggering during logarithmic creep, revealing a hierarchy of fast localized cascades linked by slow, long-range, noise-mediated facilitation. These thermal avalanches exhibit heavy-tailed temporal correlations, reminiscent of seismic activity. Our work sheds light on the rich relaxation dynamics of amorphous solids, while providing a framework for identifying noise-mediated correlations. We validate this approach by revealing a similar hierarchy in experiments with crumpled thin sheets.