{
  "id": "cond-mat/0512657",
  "version": "v1",
  "published": "2005-12-26T16:26:00.000Z",
  "updated": "2005-12-26T16:26:00.000Z",
  "title": "Correlation functions and queuing phenomena in growth processes with drift",
  "authors": [
    "S. Y. Yoon",
    "Yup Kim"
  ],
  "doi": "10.1143/JPSJ.75.104003",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We suggest a novel stochastic discrete growth model which describes the drifted Edward-Wilkinson (EW) equation $\\partial h /\\partial t = \\nu \\partial_x^2 h - v\\partial_x h +\\eta(x,t)$. From the stochastic model, the anomalous behavior of the drifted EW equation with a defect is analyzed. To physically understand the anomalous behavior the height-height correlation functions $C(r)=< |h({x_0}+r)-h(x_0)|>$ and $G(r)=< |h({x_0}+r)-h(x_0)|^2>$ are also investigated, where the defect is located at $x_0$. The height-height correlation functions follow the power law $C(r)\\sim r^{\\alpha'}$ and $G(r)\\sim r^{\\alpha''}$ with $\\alpha'=\\alpha''=1/4$ around a perfect defect at which no growth process is allowed. $\\alpha'=\\alpha''=1/4$ is the same as the anomalous roughness exponent $\\alpha=1/4$. For the weak defect at which the growth process is partially allowed, the normal EW behavior is recovered. We also suggest a new type queuing process based on the asymmetry $C(r) \\neq C(-r)$ of the correlation function around the perfect defect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-26T16:26:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "growth processes",
      "queuing phenomena",
      "height-height correlation functions",
      "novel stochastic discrete growth model",
      "perfect defect"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}