English

Avalanches and deformation in glasses and disordered systems

Disordered Systems and Neural Networks 2022-09-05 v2 Statistical Mechanics

Abstract

In this chapter, we discuss avalanches in glasses and disordered systems, and the macroscopic dynamical behavior that they mediate. We briefly review three classes of systems where avalanches are observed: depinning transition of disordered interfaces, yielding of amorphous materials, and the jamming transition. Without extensive formalism, we discuss results gleaned from theoretical approaches -- mean-field theory, scaling and exponent relations, the renormalization group, and a few results from replica theory. We focus both on the remarkably sophisticated physics of avalanches and on relatively new approaches to the macroscopic flow behavior exhibited past the depinning/yielding transition.

Keywords

Cite

@article{arxiv.2208.04090,
  title  = {Avalanches and deformation in glasses and disordered systems},
  author = {Alberto Rosso and James P. Sethna and Matthieu Wyart},
  journal= {arXiv preprint arXiv:2208.04090},
  year   = {2022}
}

Comments

Contribution to the edited volume "Spin Glass Theory and Far Beyond - Replica Symmetry Breaking after 40 Years", World Scientific

R2 v1 2026-06-25T01:33:58.705Z