{
  "id": "2312.09492",
  "version": "v1",
  "published": "2023-12-15T02:14:58.000Z",
  "updated": "2023-12-15T02:14:58.000Z",
  "title": "Three-state active lattice gas: a discrete Vicseklike model with excluded volume",
  "authors": [
    "Tiago Venzel Rosembach",
    "Ana Luiza Novaes Dias",
    "Ronald Dickman"
  ],
  "comment": "27 pages, 14 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study a discrete-space model of active matter with excluded volume. Particles are restricted to the sites of a triangular lattice, and can assume one of three orientations. Varying the density and noise intensity, Monte Carlo simulations reveal a variety of spatial patterns. Ordered states occur in the form of condensed structures, which (away from the full occupancy limit) coexist with a low-density vapor. The condensed structures feature low particle mobility, particularly those that wrap the system via the periodic boundaries. As the noise intensity is increased, dense structures give way to a disordered phase. We characterize the parameter values associated with the condensed phases and perform a detailed study of the order-disorder transition at (1) full occupation and (2) at a density of 0.1. In the former case, the model possesses the same symmetry as the three-state Potts model and exhibits a continuous phase transition, as expected, with critical exponents consistent with those of the associated Potts model. In the low-density case, the transition is clearly discontinuous, with strong dependence of the final state upon the initial configuration, hysteresis,and nonmonotonic dependence of the Binder cumulant upon noise intensity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-15T02:14:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "three-state active lattice gas",
      "discrete vicseklike model",
      "excluded volume",
      "noise intensity",
      "structures feature low particle mobility"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}