{
  "id": "cond-mat/0305340",
  "version": "v2",
  "published": "2003-05-15T09:19:01.000Z",
  "updated": "2003-09-15T15:45:55.000Z",
  "title": "Anomalous self-diffusion in the ferromagnetic Ising chain with Kawasaki dynamics",
  "authors": [
    "C. Godrèche",
    "J. M. Luck"
  ],
  "comment": "22 pages, 8 figures. A few minor changes and updates",
  "journal": "J. Phys. A 36 (2003) 9973-9989",
  "doi": "10.1088/0305-4470/36/39/301",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate the motion of a tagged spin in a ferromagnetic Ising chain evolving under Kawasaki dynamics. At equilibrium, the displacement is Gaussian, with a variance growing as $A t^{1/2}$. The temperature dependence of the prefactor $A$ is derived exactly. At low temperature, where the static correlation length $\\xi$ is large, the mean square displacement grows as $(t/\\xi^2)^{2/3}$ in the coarsening regime, i.e., as a finite fraction of the mean square domain length. The case of totally asymmetric dynamics, where $(+)$ (resp. $(-)$) spins move only to the right (resp. to the left), is also considered. In the steady state, the displacement variance grows as $B t^{2/3}$. The temperature dependence of the prefactor $B$ is derived exactly, using the Kardar-Parisi-Zhang theory. At low temperature, the displacement variance grows as $t/\\xi^2$ in the coarsening regime, again proportionally to the mean square domain length.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-09-15T15:45:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ferromagnetic ising chain",
      "kawasaki dynamics",
      "mean square domain length",
      "anomalous self-diffusion",
      "displacement variance grows"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}