{
  "id": "cond-mat/0307086",
  "version": "v2",
  "published": "2003-07-03T19:24:06.000Z",
  "updated": "2004-02-27T20:07:45.000Z",
  "title": "Survival in equilibrium step fluctuations",
  "authors": [
    "C. Dasgupta",
    "M. Constantin",
    "S. Das Sarma",
    "Satya N. Majumdar"
  ],
  "comment": "RevTeX, 4 pages, 3 figures",
  "journal": "Phys. Rev. E 69, 022101 (2004)",
  "doi": "10.1103/PhysRevE.69.022101",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We report the results of analytic and numerical investigations of the time scale of survival or non-zero-crossing probability $S(t)$ in equilibrium step fluctuations described by Langevin equations appropriate for attachment/detachment and edge-diffusion limited kinetics. An exact relation between long-time behaviors of the survival probability and the autocorrelation function is established and numerically verified. $S(t)$ is shown to exhibit simple scaling behavior as a function of system size and sampling time. Our theoretical results are in agreement with those obtained from an analysis of experimental dynamical STM data on step fluctuations on Al/Si(111) and Ag(111) surfaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-27T20:07:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equilibrium step fluctuations",
      "langevin equations appropriate",
      "experimental dynamical stm data",
      "exact relation",
      "long-time behaviors"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}