{
  "id": "cond-mat/9804237",
  "version": "v2",
  "published": "1998-04-22T02:22:51.000Z",
  "updated": "1999-11-09T19:11:57.000Z",
  "title": "Kinetics of phase ordering on curved surfaces",
  "authors": [
    "Oliver Schoenborn",
    "Rashmi C. Desai"
  ],
  "comment": "Submitted to Physical Review Letters on Mar 13, 1998. Withdrawn July 1998. Submitted full version to J. Stat. Phys. July 21, 1998, which is now published in J. Stat. Phys. 95, 949-979 (1999)",
  "journal": "Journal of Statistical Physics, 95, 949-979 (1999)",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "An interface description and numerical simulations of model A kinetics are used for the first time to investigate the intra-surface kinetics of phase ordering on corrugated surfaces. Geometrical dynamical equations are derived for the domain interfaces. The dynamics is shown to depend strongly on the local Gaussian curvature of the surface, and can be fundamentally different from that in flat systems: dynamical scaling breaks down despite the persistence of the dominant interfacial undulation mode; growth laws are slower than $t^{1/2}$ and even logarithmic; a new very-late-stage regime appears characterized by extremely slow interface motion; finally, the zero-temperature fixed point no longer exists, leading to metastable states. Criteria for the existence of the latter are derived and discussed in the context of more complex systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-11-09T19:11:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase ordering",
      "curved surfaces",
      "dominant interfacial undulation mode",
      "extremely slow interface motion",
      "local gaussian curvature"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}