{
  "id": "cond-mat/0306600",
  "version": "v1",
  "published": "2003-06-24T12:05:45.000Z",
  "updated": "2003-06-24T12:05:45.000Z",
  "title": "Ising Model on periodic and quasi-periodic chains in presence of magnetic field: some exact results",
  "authors": [
    "Susanta Bhattacharya",
    "Samir K. Paul"
  ],
  "comment": "14 pages(LaTex),main calculation in this paper is from our previous work cond-mat/0105259 with change in title, content and references",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We present a general procedure for calculating the exact partition function of an Ising model on a periodic chain in presence of magnetic field considering both open and closed boundary conditions. Using same procedure on a quasiperiodic (Fibonacci) chain we have established a recurrence relation among partition functions of different Fibonacci generations from n-th to (n+6)-th. In the large N limit we find $(2\\tau + 1){F_{n+1}}={F_{n+2}}$; where $\\tau$ is the golden mean and $F_n$ stands for free energy/spin for the n-th generation. We have also studied chemical potential in both cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-06-24T12:05:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "magnetic field",
      "ising model",
      "quasi-periodic chains",
      "exact results",
      "exact partition function"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003cond.mat..6600B"
    }
  }
}