{
  "id": "1608.02478",
  "version": "v1",
  "published": "2016-08-08T15:13:28.000Z",
  "updated": "2016-08-08T15:13:28.000Z",
  "title": "Temperature chaos in some spherical mixed $p$-spin models",
  "authors": [
    "Wei-Kuo Chen",
    "Dmitry Panchenko"
  ],
  "comment": "13 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give two types of examples of the spherical mixed even-$p$-spin models for which chaos in temperature holds. These complement some known results for the spherical pure $p$-spin models and for models with Ising spins. For example, in contrast to a recent result of Subag who showed absence of chaos in temperature in the spherical pure $p$-spin models for $p\\geq 3$, we show that even a smaller order perturbation induces temperature chaos.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-08T15:13:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60G15",
      "60F10",
      "82B44"
    ],
    "keywords": [
      "spin models",
      "smaller order perturbation induces temperature",
      "order perturbation induces temperature chaos",
      "spherical pure",
      "temperature holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}