{
  "id": "1309.1427",
  "version": "v1",
  "published": "2013-09-05T18:38:39.000Z",
  "updated": "2013-09-05T18:38:39.000Z",
  "title": "Phase Transition in Dimer Liquids",
  "authors": [
    "Danh-Tai Hoang",
    "Hung T. Diep"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the phase transition in a system composed of dimers interacting with each other via a nearest-neighbor (NN) exchange $J$ and competing interactions taken from a truncated dipolar coupling. Each dimer occupies a link between two nearest sites of a simple cubic lattice. We suppose that dimers are self-avoiding and can have only three orientations which coincide with the $x$, $y$ or $z$ direction. The interaction $J$ is attractive if the two dimers are parallel with each other at the NN distance, zero otherwise. The truncated dipolar interaction is characterized by two parameters: its amplitude $D$ and the cutoff distance $r_c$. Using the steepest-descent method, we determine the ground-state (GS) configuration as functions of $D$ and $r_c$. We then use Monte Carlo simulations to investigate the nature of the low-temperature phase and to determine characteristics of the phase transition from the ordered phase to the disordered phase at high temperatures at a given dimer concentration. We show that as the temperature increases, dimers remain in the compact state and the transition from the low-$T$ compact phase to the disordered phase where dimers occupy the whole space is of second order when $D$ is small, but it becomes of first order for large enough $D$, for both polarized and non polarized dimers. This transition has a resemblance with the unfolding polymer transition. The effect of $r_c$ is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-09-05T18:38:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase transition",
      "dimer liquids",
      "simple cubic lattice",
      "monte carlo simulations",
      "disordered phase"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.1427H"
    }
  }
}