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PreprintarXiv licencearXiv

Avalanche Size and Interevent Time Statistics in Amorphous System

  • Thomas Muhren
  • Roberto Benzi
  • Mauro Sbragaglia
  • Jeannot Trampert
  • Federico Toschi
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Abstract

The intermittent, stick-slip flow of amorphous systems is characterized by avalanches whose statistical properties display robust power-laws. In this paper, we study avalanche statistics in a field theoretical model of a soft-glassy system under shear. The order parameter in our model is the fluidity, which is related to the local rate of plastic events in a soft-glass. While avalanche sizes S have been extensively characterized, the statistics of interevent times ti have remained largely unexplored. Here, we find that both S and ti are power-law distributed and that their scaling exponents satisfy a precise relation. The model enables the analytical derivation of the scaling exponents and the reproduction of the behavior observed across a wide class of amorphous systems.

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Cite

BibTeXRIS
BibTeX
@misc{muhren2026avalanche,
  title = {{Avalanche Size and Interevent Time Statistics in Amorphous System}},
  author = {Thomas Muhren and Roberto Benzi and Mauro Sbragaglia and Jeannot Trampert and Federico Toschi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24462},
  eprint = {2609.24462},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24462},
}
RIS
TY  - UNPB
TI  - Avalanche Size and Interevent Time Statistics in Amorphous System
AU  - Thomas Muhren
AU  - Roberto Benzi
AU  - Mauro Sbragaglia
AU  - Jeannot Trampert
AU  - Federico Toschi
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2609.24462
UR  - https://arxiv.org/abs/2609.24462
AB  - The intermittent, stick-slip flow of amorphous systems is characterized by avalanches whose statistical properties display robust power-laws. In this paper, we study avalanche statistics in a field theoretical model of a soft-glassy system under shear. The order parameter in our model is the fluidity, which is related to the local rate of plastic events in a soft-glass. While avalanche sizes S have been extensively characterized, the statistics of interevent times t_i have remained largely unexplored. Here, we find that both S and t_i are power-law distributed and that their scaling exponents satisfy a precise relation. The model enables the analytical derivation of the scaling exponents and the reproduction of the behavior observed across a wide class of amorphous systems.
ER  -