English

Statistics of Thermal Avalanches in Driven Amorphous Systems

Disordered Systems and Neural Networks 2026-03-05 v1 Soft Condensed Matter Statistical Mechanics

Abstract

Within the framework of the random first-order transition theory of glasses, we discuss the statistics of thermal avalanches, the large scale rearrangements in driven amorphous systems near their instability. Stringy excitations yield nonPoisson waiting time statistics. Embedding these statistics in a generalized Master equation captures the nonMarkovian, aging dynamics of avalanche clusters. We apply this framework to analyze nonequilibrium signatures of thermal avalanches, auto correlation functions and effective temperatures, under both quasi static shear and stochastic shaking protocols. We use full counting statistics to derive the complete distribution of both the avalanche magnitudes and avalanche counts, uncovering the intermediate time behavior.

Keywords

Cite

@article{arxiv.2603.03550,
  title  = {Statistics of Thermal Avalanches in Driven Amorphous Systems},
  author = {Zhiyu Cao and Peter G. Wolynes},
  journal= {arXiv preprint arXiv:2603.03550},
  year   = {2026}
}

Comments

19 pages, 6 figures, comments are welcome

R2 v1 2026-07-01T11:02:10.632Z