{
  "id": "cond-mat/9901267",
  "version": "v1",
  "published": "1999-01-25T18:03:02.000Z",
  "updated": "1999-01-25T18:03:02.000Z",
  "title": "Diffusion and rheology in a model of glassy materials",
  "authors": [
    "R. M. L. Evans",
    "M. E. Cates",
    "P. Sollich"
  ],
  "comment": "39 page (double spaced), 2 figures",
  "doi": "10.1007/s100510050902",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We study self-diffusion within a simple hopping model for glassy materials. (The model is Bouchaud's model of glasses [J.-P. Bouchaud, J. Physique I 2, 1705 (1992)], as extended to describe rheological properties [P. Sollich, F. Lequeux, P. Hebraud and M.E. Cates, Phys. Rev. Lett. 78, 2020 (1997)].) We investigate the breakdown, near the glass transition, of the (generalized) Stokes-Einstein relation between self-diffusion of a tracer particle and the (frequency-dependent) viscosity of the system as a whole. This stems from the presence of a broad distribution of relaxation times of which different moments control diffusion and rheology. We also investigate the effect of flow (oscillatory shear) on self-diffusion and show that this causes a finite diffusivity in the temperature regime below the glass transition (where this was previously zero). At higher temperatures the diffusivity is enhanced by a power law frequency dependence that also characterises the rheological response. The relevance of these findings to soft glassy materials (foams, emulsions etc.) as well as to conventional glass-forming liquids is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-01-25T18:03:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.70.Pf",
      "66.10.Cb",
      "83.50.Fc"
    ],
    "keywords": [
      "glass transition",
      "power law frequency dependence",
      "self-diffusion",
      "moments control diffusion",
      "soft glassy materials"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal B",
      "year": 1999,
      "month": "Aug",
      "volume": 10,
      "number": 4,
      "pages": 705
    },
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999EPJB...10..705E"
    }
  }
}