{
  "id": "0912.3060",
  "version": "v2",
  "published": "2009-12-16T07:01:14.000Z",
  "updated": "2010-04-14T17:11:28.000Z",
  "title": "Stationary states and fractional dynamics in systems with long range interactions",
  "authors": [
    "Tineke L. Van Den Berg",
    "Duccio Fanelli",
    "Xavier Leoncini"
  ],
  "journal": "T. L. Van Den Berg, D. Fanelli and X. Leoncini, EPL, 89 (2010) 50010",
  "doi": "10.1209/0295-5075/89/50010",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.CD"
  ],
  "abstract": "Dynamics of many-body Hamiltonian systems with long range interactions is studied, in the context of the so called $\\alpha-$HMF model. Building on the analogy with the related mean field model, we construct stationary states of the $\\alpha-$HMF model for which the spatial organization satisfies a fractional equation. At variance, the microscopic dynamics turns out to be regular and explicitly known. As a consequence, dynamical regularity is achieved at the price of strong spatial complexity, namely a microscopic inhomogeneity which locally displays scale invariance.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-14T17:11:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long range interactions",
      "fractional dynamics",
      "hmf model",
      "microscopic dynamics turns",
      "locally displays scale invariance"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "EPL (Europhysics Letters)",
      "year": 2010,
      "month": "Mar",
      "volume": 89,
      "number": 5,
      "pages": 50010
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010EL.....8950010V"
    }
  }
}