{
  "id": "cond-mat/0301473",
  "version": "v1",
  "published": "2003-01-24T10:31:02.000Z",
  "updated": "2003-01-24T10:31:02.000Z",
  "title": "Magnetization distribution in the transverse Ising chain with energy flux",
  "authors": [
    "V. Eisler",
    "Z. Racz",
    "F. van Wijland"
  ],
  "comment": "8 pages, 5 ps figures",
  "journal": "Phys. Rev. E 67, 056129 (2003)",
  "doi": "10.1103/PhysRevE.67.056129",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The zero-temperature transverse Ising chain carrying an energy flux j_E is studied with the aim of determining the nonequilibrium distribution functions, P(M_z) and P(M_x), of its transverse and longitudinal magnetizations, respectively. An exact calculation reveals that P(M_z) is a Gaussian both at j_E=0 and j_E not equal 0, and the width of the distribution decreases with increasing energy flux. The distribution of the order-parameter fluctuations, P(M_x), is evaluated numerically for spin-chains of up to 20 spins. For the equilibrium case (j_E=0), we find the expected Gaussian fluctuations away from the critical point while the critical order-parameter fluctuations are shown to be non-gaussian with a scaling function Phi(x)=Phi(M_x/<M_x>)=<M_x>P(M_x) strongly dependent on the boundary conditions. When j_E not equal 0, the system displays long-range, oscillating correlations but P(M_x) is a Gaussian nevertheless, and the width of the Gaussian decreases with increasing j_E. In particular, we find that, at critical transverse field, the width has a j_E^(-3/8) asymptotic in the j_E -> 0 limit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-01-24T10:31:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "energy flux",
      "magnetization distribution",
      "transverse ising chain carrying",
      "order-parameter fluctuations",
      "zero-temperature transverse ising chain"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}