{
  "id": "2107.06365",
  "version": "v1",
  "published": "2021-07-13T20:02:13.000Z",
  "updated": "2021-07-13T20:02:13.000Z",
  "title": "The yielding of amorphous solids at finite temperatures",
  "authors": [
    "Ezequiel E. Ferrero",
    "Alejandro B. Kolton",
    "Eduardo A. Jagla"
  ],
  "comment": "16 pages, 11 figures",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mtrl-sci",
    "cond-mat.soft"
  ],
  "abstract": "We analyze the effect of temperature on the yielding transition of amorphous solids using different coarse-grained model approaches. On one hand we use an elasto-plastic model, with temperature introduced in the form of an Arrhenius activation law over energy barriers. On the other hand, we implement a Hamiltonian model with a relaxational dynamics, where temperature is introduced in the form of a Langevin stochastic force. In both cases, temperature transforms the sharp transition of the athermal case in a smooth crossover. We show that this thermally smoothed transition follows a simple scaling form that can be fully explained using a one-particle system driven in a potential under the combined action of a mechanical and a thermal noise, the stochastically-driven Prandtl-Tomlinson model. Our work harmonizes the results of simple models for amorphous solids with the phenomenological $\\sim T^{2/3}$ law proposed by Johnson and Samwer [Phys. Rev. Lett. 95, 195501 (2005)] in the framework of experimental metallic glasses yield observations, and extend it to a generic case. Conclusively, our results strengthen the interpretation of the yielding transition as an effective mean-field phenomenon.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-13T20:02:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "amorphous solids",
      "finite temperatures",
      "experimental metallic glasses yield observations",
      "langevin stochastic force",
      "arrhenius activation law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}