{
  "id": "1106.4857",
  "version": "v1",
  "published": "2011-06-23T23:10:39.000Z",
  "updated": "2011-06-23T23:10:39.000Z",
  "title": "First-order phase transition of triangulated surfaces on a spherical core",
  "authors": [
    "Hiroshi Koibuchi"
  ],
  "comment": "10 figures",
  "journal": "Physica A Vol.390 (2011) 4105-4113",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study an intrinsic curvature model defined on fixed-connectivity triangulated lattices enclosing a spherical core by using the canonical Monte Carlo simulation technique. We find that the model undergoes a discontinuous transition of shape transformation between the smooth state and a collapsed state even when the core radius $R$ is sufficiently large; the transition depends on $R$. The origin of the multitude of transitions is considered to be a degeneracy of the collapsed states. We also find that the Gaussian bond potential $S_1/N$, which is the sum of bond length squares, discontinuously changes at the transition. The discontinuity in $S_1/N$ implies a possibility of large fluctuations of the distance between lipids, or the density of lipids, in biological membranes such as giant vesicles or liposomes enclosing some materials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-23T23:10:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first-order phase transition",
      "spherical core",
      "triangulated surfaces",
      "canonical monte carlo simulation technique",
      "intrinsic curvature model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.physa.2011.06.059",
      "journal": "Physica A Statistical Mechanics and its Applications",
      "year": 2011,
      "month": "Nov",
      "volume": 390,
      "number": 23,
      "pages": 4105
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhyA..390.4105K"
    }
  }
}