{
  "id": "cond-mat/0607083",
  "version": "v2",
  "published": "2006-07-04T14:08:07.000Z",
  "updated": "2008-10-24T13:49:09.000Z",
  "title": "Dynamic behavior of the interface of strip-like structures in driven diffusive systems",
  "authors": [
    "Gustavo P. Saracco",
    "Ezequiel V. Albano"
  ],
  "comment": "12 pages, 17 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The dynamic behavior of the interfaces in the standard and random driven lattice gas models (DLG and RDLG respectively) is investigated via numerical Monte Carlo simulations in two dimensions. For $T\\lesssim T_c$, the average interface width of the strips ($W$) was measured as a function of the lattice size and the anisotropic shape factor. It was found that the saturation value $W^{2}_{sat}$ only depends on the lattice size parallel to the external field axis $L_y$ and exhibits two distinct regimes: $W^{2}_{sat}\\propto \\ln$ $L_y$ for low temperatures, that crosses over to $W^{2}_{sat}\\propto L_y^{2\\alpha_I}$ near the critical zone, $\\alpha_I=1/2$ being the roughness exponent of the interface. By using the relationship $\\alpha_I=1/(1+\\Delta_I)$, the anisotropic exponent for the interface of the DLG model was estimated, giving $\\Delta_I\\simeq 1$, in agreement with the computed value for anisotropic bulk exponent $\\Delta_B$ with a recently proposed theoretical approach. At the crossover region between both regimes, we observed indications of bulk criticality. The time evolution of $W$ at $T_c$ was also monitored and shows two growing stages: first one observes that $W \\propto \\ln$ $t$ for several decades, and in the following times one has $W\\propto t^{\\beta_I}$, where $\\beta_{I}$ is the dynamic exponent of the interface width. By using this value we estimated the dynamic critical exponent of the correlation length in the perpendicular direction to the external field, giving $z_{\\perp}^I\\approx 4$, which is consistent with the dynamic exponent of the bulk critical transition $z_{\\perp}^B$ in both theoretical approaches developed for the standard model. A similar scenario was also observed in the RDLG model, suggesting that both models may belong to the same universality class.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-10-24T13:49:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "driven diffusive systems",
      "dynamic behavior",
      "strip-like structures",
      "random driven lattice gas models",
      "dynamic exponent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006cond.mat..7083S"
    }
  }
}