{
  "id": "2204.02795",
  "version": "v1",
  "published": "2022-04-06T13:05:49.000Z",
  "updated": "2022-04-06T13:05:49.000Z",
  "title": "Scaling theory for the statistics of slip at frictional interfaces",
  "authors": [
    "Tom W. J. de Geus",
    "Matthieu Wyart"
  ],
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.soft"
  ],
  "abstract": "Slip at a frictional interface occurs via intermittent events. Understanding how these events are nucleated, can propagate, or stop spontaneously remains a challenge, central to earthquake science and tribology. In the absence of disorder, rate-and-state approaches predict a diverging nucleation length at some stress $\\sigma^*$, beyond which cracks can propagate. Here we argue that disorder is a relevant perturbation to this description. We justify why the distribution of slip contains two parts: a power-law corresponding to `avalanches', and a `narrow' distribution of system-spanning `fracture' events. We derive novel scaling relations for avalanches, including a relation between the stress drop and the spatial extension of a slip event. We compute the cut-off length beyond which avalanches cannot be stopped by disorder, leading to a system-spanning fracture, and successfully test these predictions in a minimal model of frictional interfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-06T13:05:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scaling theory",
      "statistics",
      "avalanches",
      "rate-and-state approaches predict",
      "frictional interface occurs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}