{
  "id": "0708.1212",
  "version": "v1",
  "published": "2007-08-09T04:18:58.000Z",
  "updated": "2007-08-09T04:18:58.000Z",
  "title": "On a Phase Separation Point for One - Dimensional Models",
  "authors": [
    "N. N. Ganikhodjaev",
    "U. A. Rozikov"
  ],
  "comment": "10 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the paper a one-dimensional model with nearest - neighbor interactions $I_n, n\\in \\Z$ and spin values $\\pm 1$ is considered. It is known that under some conditions on parameters $I_n$ the phase transition occurs for the model. We define a notion of \"phase separation\" point between two phases. We prove that the expectation value of the point is zero and its the mean square fluctuation is bounded by a constant $C(\\beta)$ which tends to 1/4 if $\\beta\\to\\infty$. Here $\\beta=\\frac{1}{T}$, $ T>0$-temperature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-09T04:18:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B05",
      "82B20"
    ],
    "keywords": [
      "phase separation point",
      "dimensional models",
      "mean square fluctuation",
      "phase transition occurs",
      "neighbor interactions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.1212G"
    }
  }
}