{
  "id": "1312.3513",
  "version": "v2",
  "published": "2013-12-12T15:05:58.000Z",
  "updated": "2014-04-17T11:30:39.000Z",
  "title": "Strong Dynamical Heterogeneity and Universal Scaling in Driven Granular Fluids",
  "authors": [
    "Karina E. Avila",
    "Horacio E. Castillo",
    "Andrea Fiege",
    "Katharina Vollmayr-Lee",
    "Annette Zippelius"
  ],
  "comment": "5 pages, 6 figures",
  "journal": "Phys. Rev. Lett. 113, 025701 (2014)",
  "doi": "10.1103/PhysRevLett.113.025701",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Large scale simulations of two-dimensional bidisperse granular fluids allow us to determine spatial correlations of slow particles via the four-point structure factor $S_4(q,t)$. Both cases, elastic ($\\varepsilon=1$) as well as inelastic ($\\varepsilon < 1$) collisions, are studied. As the fluid approaches structural arrest, i.e. for packing fractions in the range $0.6 \\le \\phi \\le 0.805$, scaling is shown to hold: $S_4(q,t)/\\chi_4(t)=s(q\\xi(t))$. Both the dynamic susceptibility, $\\chi_4(\\tau_{\\alpha})$, as well as the dynamic correlation length, $\\xi(\\tau_{\\alpha})$, evaluated at the $\\alpha$ relaxation time, $\\tau_{\\alpha}$, can be fitted to a power law divergence at a critical packing fraction. The measured $\\xi(\\tau_{\\alpha})$ widely exceeds the largest one previously observed for hard sphere 3d fluids. The number of particles in a slow cluster and the correlation length are related by a robust power law, $\\chi_4(\\tau_{\\alpha}) \\approx\\xi^{d-p}(\\tau_{\\alpha})$, with an exponent $d-p\\approx 1.6$. This scaling is remarkably independent of $\\varepsilon$, even though the strength of the dynamical heterogeneity increases dramatically as $\\varepsilon$ grows.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-17T11:30:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.70.Q-",
      "61.20.Lc",
      "61.43.Fs"
    ],
    "keywords": [
      "driven granular fluids",
      "strong dynamical heterogeneity",
      "universal scaling",
      "hard sphere 3d fluids",
      "two-dimensional bidisperse granular fluids"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2014,
      "month": "Jul",
      "volume": 113,
      "number": 2,
      "pages": "025701"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvL.113b5701A"
    }
  }
}