{
  "id": "cond-mat/0606391",
  "version": "v1",
  "published": "2006-06-14T22:37:29.000Z",
  "updated": "2006-06-14T22:37:29.000Z",
  "title": "Critical behavior of repulsive linear $k$-mers on triangular lattices",
  "authors": [
    "P. M. Pasinetti",
    "F. Roma",
    "J. L. Riccardo",
    "A. J. Ramirez-Pastor"
  ],
  "comment": "17 pages, 13 figures",
  "doi": "10.1103/PhysRevB.74.155418",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "Monte Carlo (MC) simulations and finite-size scaling analysis have been carried out to study the critical behavior in a submonolayer two-dimensional gas of repulsive linear $k$-mers on a triangular lattice at coverage $k/(2k+1)$. A low-temperature ordered phase, characterized by a repetition of alternating files of adsorbed $k$-mers separated by $k+1$ adjacent empty sites, is separated from the disordered state by a order-disorder phase transition occurring at a finite critical temperature, $T_c$. The MC technique was combined with the recently reported Free Energy Minimization Criterion Approach (FEMCA), [F. Rom\\'a et al., Phys. Rev. B, 68, 205407, (2003)], to predict the dependence of the critical temperature of the order-disorder transformation. The dependence on $k$ of the transition temperature, $T_c(k)$, observed in MC is in qualitative agreement with FEMCA. In addition, an accurate determination of the critical exponents has been obtained for adsorbate sizes ranging between $k=1$ and $k=3$. For $k>1$, the results reveal that the system does not belong to the universality class of the two-dimensional Potts model with $q=3$ ($k=1$, monomers). Based on symmetry concepts, we suggested that the behavior observed for $k=1, 2$ and 3 could be generalized to include larger particle sizes ($k \\geq 2$).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-14T22:37:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "triangular lattice",
      "repulsive linear",
      "critical behavior",
      "free energy minimization criterion approach",
      "reported free energy minimization criterion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}