{
  "id": "cond-mat/0501367",
  "version": "v1",
  "published": "2005-01-17T19:31:28.000Z",
  "updated": "2005-01-17T19:31:28.000Z",
  "title": "Intermittency at critical transitions and aging dynamics at edge of chaos",
  "authors": [
    "A. Robledo"
  ],
  "comment": "Proceedings of: STATPHYS 2004 - 22nd IUPAP International Conference on Statistical Physics, National Science Seminar Complex, Indian Institute of Science, Bangalore, 4-9 July 2004. Pramana, in press",
  "journal": "Pramana 64, 947 (2005)",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CD"
  ],
  "abstract": "We recall that, at both the intermittency transitions and at the Feigenbaum attractor in unimodal maps of non-linearity of order $\\zeta >1$, the dynamics rigorously obeys the Tsallis statistics. We account for the $q$-indices and the generalized Lyapunov coefficients $\\lambda_{q}$ that characterize the universality classes of the pitchfork and tangent bifurcations. We identify the Mori singularities in the Lyapunov spectrum at the edge of chaos with the appearance of a special value for the entropic index $q$. The physical area of the Tsallis statistics is further probed by considering the dynamics near criticality and glass formation in thermal systems. In both cases a close connection is made with states in unimodal maps with vanishing Lyapunov coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-17T19:31:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "aging dynamics",
      "critical transitions",
      "intermittency",
      "unimodal maps",
      "tsallis statistics"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/BF02704156",
      "journal": "Pramana",
      "year": 2005,
      "month": "Jun",
      "volume": 64,
      "number": 6,
      "pages": 947
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005Prama..64..947R"
    }
  }
}