{
  "id": "1204.3734",
  "version": "v1",
  "published": "2012-04-17T09:01:41.000Z",
  "updated": "2012-04-17T09:01:41.000Z",
  "title": "Following states in temperature in the spherical s+p-spin glass model",
  "authors": [
    "YiFan Sun",
    "Andrea Crisanti",
    "Florent Krzakala",
    "Luca Leuzzi",
    "Lenka Zdeborová"
  ],
  "journal": "J. Stat. Mech. (2012) P07002",
  "doi": "10.1088/1742-5468/2012/07/P07002",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "In many mean-field glassy systems, the low-temperature Gibbs measure is dominated by exponentially many metastable states. We analyze the evolution of the metastable states as temperature changes adiabatically in the solvable case of the spherical $s+p$-spin glass model, extending the work of Barrat, Franz and Parisi J. Phys. A 30, 5593 (1997). We confirm the presence of level crossings, bifurcations, and temperature chaos. For the states that are at equilibrium close to the so-called dynamical temperature $T_d$, we find, however, that the following state method (and the dynamical solution of the model as well) is intrinsically limited by the vanishing of solutions with non-zero overlap at low temperature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-17T09:01:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin glass model",
      "mean-field glassy systems",
      "metastable states",
      "low-temperature gibbs measure",
      "low temperature"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2012,
      "month": "Jul",
      "volume": 2012,
      "number": 7,
      "pages": 7002
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JSMTE..07..002S"
    }
  }
}