{
  "id": "cond-mat/0005335",
  "version": "v2",
  "published": "2000-05-20T05:41:40.000Z",
  "updated": "2000-09-18T07:57:46.000Z",
  "title": "Scaling behavior for finite O(n) systems with long-range interaction",
  "authors": [
    "H. Chamati",
    "N. S. Tonchev"
  ],
  "comment": "17 revtex pages, minor correction. new results and references are added",
  "doi": "10.1103/PhysRevE.63.026103",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "A detailed investigation of the scaling properties of the fully finite ${\\cal O}(n)$ systems with long-range interaction, decaying algebraically with the interparticle distance $r$ like $r^{-d-\\sigma}$, below their upper critical dimension is presented. The computation of the scaling functions is done to one loop order in the non-zero modes. The results are obtained in an expansion of powers of $\\sqrt\\epsilon$, where $\\epsilon=2\\sigma-d$ up to ${\\cal O}(\\epsilon^{3/2})$. The thermodynamic functions are found to be functions the scaling variable $z=RL^{2-\\eta-\\epsilon/2}U^{-1/2}$, where $R$ and $U$ are the coupling constants of the constructed effective theory, and $L$ is the linear size of the system. Some simple universal results are obtained.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-09-18T07:57:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-range interaction",
      "scaling behavior",
      "simple universal results",
      "thermodynamic functions",
      "non-zero modes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}