{
  "id": "cond-mat/9710203",
  "version": "v1",
  "published": "1997-10-20T17:16:19.000Z",
  "updated": "1997-10-20T17:16:19.000Z",
  "title": "Lenz-Ising-Onsager problem in an external field as a soluble problem of many fermions",
  "authors": [
    "Martin S. Kochman'ski"
  ],
  "comment": "47 pades, REVTEX",
  "doi": "10.1103/PhysRevE.56.3831",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "In this paper a new approach to solving the 2D and 3D Ising models in external magnetic field $H\\neq0$ is developed. The general formalism for the approach to the problem is presented on the example of the 2D Ising model in the external magnetic field. The paper presents a new method obtaining the Onsager solution and computations of asymptotic forms of low-temperature free energy for the 2D Ising model in the external magnetic field $(H)$. The free energy in the limiting case of the magnetic field tending to zero $(H\\to 0, N,M\\to\\infty)$ at arbitrary temperature is also considered $(T\\neq 0)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-10-20T17:16:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "external magnetic field",
      "external field",
      "lenz-ising-onsager problem",
      "soluble problem",
      "2d ising model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}