{
  "id": "1410.7161",
  "version": "v1",
  "published": "2014-10-27T09:25:52.000Z",
  "updated": "2014-10-27T09:25:52.000Z",
  "title": "Thermodynamic Casimir Effect in Films: the Exchange Cluster Algorithm",
  "authors": [
    "Martin Hasenbusch"
  ],
  "comment": "48 pages, 20 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the thermodynamic Casimir force for films with various types of boundary conditions and the bulk universality class of the three-dimensional Ising model. To this end we perform Monte Carlo simulations of the improved Blume-Capel model on the simple cubic lattice. In particular, we employ the exchange or geometric cluster cluster algorithm [J.R. Heringa and H. W. J. Bl\\\"ote, Phys. Rev. E 57, 4976 (1998)]. In a previous work we demonstrated that this algorithm allows to compute the thermodynamic Casimir force for the plate-sphere geometry efficiently. It turns out that also for the film geometry a substantial reduction of the statistical error can achieved. Concerning physics, we focus on (O,O) boundary conditions, where O denotes the ordinary surface transition. These are implemented by free boundary conditions on both sides of the film. Films with such boundary conditions undergo a phase transition in the universality class of the two-dimensional Ising model. We determine the inverse transition temperature for a large range of thicknesses L_0 of the film and study the scaling of this temperature with L_0. In the neighborhood of the transition, the thermodynamic Casimir force is affected by finite size effects, where finite size refers to a finite transversal extension L of the film. We demonstrate that these finite size effects can be computed by using the universal finite size scaling function of the free energy of the two-dimensional Ising model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-27T09:25:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "05.70.Jk",
      "05.10.Ln",
      "68.15.+e"
    ],
    "keywords": [
      "thermodynamic casimir effect",
      "exchange cluster algorithm",
      "thermodynamic casimir force",
      "boundary conditions",
      "finite size scaling function"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevE.91.022110",
      "journal": "Physical Review E",
      "year": 2015,
      "month": "Feb",
      "volume": 91,
      "number": 2,
      "pages": "022110"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhRvE..91b2110H"
    }
  }
}