{
  "id": "1004.1579",
  "version": "v2",
  "published": "2010-03-11T08:40:15.000Z",
  "updated": "2010-04-12T07:04:21.000Z",
  "title": "Phase Transitions in Disordered Systems",
  "authors": [
    "A. Gordillo-Guerrero"
  ],
  "comment": "Ph.D. Thesis (in English), 172 pages, 70 figures.",
  "categories": [
    "cond-mat.dis-nn",
    "hep-lat"
  ],
  "abstract": "We face the problem of phase transitions in diluted systems both from theoretical and numerical sides. We study the effects of quenched site-dilution in classical models (Heisenberg, Ising and Potts) in 2, 3, and 4 dimensions both by using the Renormalization Group and numerical simulations in the canonical and microcanonical ensembles. We propose and check a new formulation of the Finite Size Scaling ansatz (FSS) inside the microcanonical ensemble. We use microcanonical simulations to obtain a clear fist-order behavior for the diluted Potts model in 3D, estimating the tricritical dilution. We perform large-scale simulations of the 3D diluted Heisenberg model, checking its self-averaging properties. Finally we study the 4D diluted Ising model obtaining from the FSS of the specific heat a clear differentiation between the existing conflicting theories. We also compiled a large number of appendix that we expect to be used as future reference.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-12T07:04:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase transitions",
      "disordered systems",
      "diluted ising model obtaining",
      "clear fist-order behavior",
      "perform large-scale simulations"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 172,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 851375,
      "adsabs": "2010arXiv1004.1579G"
    }
  }
}