{
  "id": "1808.01811",
  "version": "v1",
  "published": "2018-08-06T10:17:48.000Z",
  "updated": "2018-08-06T10:17:48.000Z",
  "title": "Field theory for amorphous solids",
  "authors": [
    "E. DeGiuli"
  ],
  "comment": "5 pages. Short version to appear in PRL. Extended version available at arXiv:1804.04834",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.soft"
  ],
  "abstract": "Glasses at low temperature fluctuate around their inherent states; glassy anomalies reflect the structure of these states. Recently there have been numerous observations of long-range stress correlations in glassy materials, from supercooled liquids to colloids and granular materials, but without a common explanation. Herein it is shown, using a field theory of inherent states, that long-range stress correlations follow from mechanical equilibrium alone, with explicit predictions for stress correlations in 2 and 3 dimensions. `Equations of state' relating fluctuations to imposed stresses are derived, as well as field equations that fix the spatial structure of stresses in arbitrary geometries. Finally, a new holographic quantity in 3D amorphous systems is identified.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-06T10:17:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "field theory",
      "amorphous solids",
      "long-range stress correlations",
      "inherent states",
      "glassy anomalies reflect"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}