{
  "id": "math/0505643",
  "version": "v1",
  "published": "2005-05-30T11:34:23.000Z",
  "updated": "2005-05-30T11:34:23.000Z",
  "title": "Equilibrium Fluctuations for a One-Dimensional Interface in the Solid on Solid Approximation",
  "authors": [
    "Gustavo Posta"
  ],
  "journal": "Electron. J. Probab. 10 (2005), no. 29, 962-987",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "An unbounded one-dimensional solid-on-solid model with integer heights is studied. Unbounded here means that there is no a priori restrictions on the discret e gradient of the interface. The interaction Hamiltonian of the interface is given by a finite range part, pr oportional to the sum of height differences, plus a part of exponentially decaying long range potentials. The evolution of the interface is a reversible Markov process. We prove that if this system is started in the center of a box of size L after a time of order L^3 it reaches, with a very large probability, the top or the bottom of the box.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-30T11:34:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C22"
    ],
    "keywords": [
      "solid approximation",
      "one-dimensional interface",
      "equilibrium fluctuations",
      "exponentially decaying long range potentials",
      "finite range part"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5643P"
    }
  }
}