{
  "id": "cond-mat/0103364",
  "version": "v1",
  "published": "2001-03-17T08:35:20.000Z",
  "updated": "2001-03-17T08:35:20.000Z",
  "title": "Nonequilibrium Dynamics of the Complex Ginzburg-Landau Equation. I. Analytical Results",
  "authors": [
    "Subir K. Das",
    "Sanjay Puri",
    "M. C. Cross"
  ],
  "comment": "21 pages, 7 figures",
  "doi": "10.1103/PhysRevE.64.046206",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We present a detailed analytical and numerical study of nonequilibrium dynamics for the complex Ginzburg-Landau (CGL) equation. In particular, we characterize evolution morphologies using spiral defects. This paper (referred to as $\\rm I$) is the first in a two-stage exposition. Here, we present analytical results for the correlation function arising from a single-spiral morphology. We also critically examine the utility of the Gaussian auxiliary field (GAF) ansatz in characterizing a multi-spiral morphology. In the next paper of this exposition (referred to as $\\rm II$), we will present detailed numerical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-03-17T08:35:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex ginzburg-landau equation",
      "nonequilibrium dynamics",
      "analytical results",
      "gaussian auxiliary field",
      "characterize evolution morphologies"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}