{
  "id": "2311.03872",
  "version": "v1",
  "published": "2023-11-07T10:41:26.000Z",
  "updated": "2023-11-07T10:41:26.000Z",
  "title": "Interaction vs inhomogeneity in a periodic TASEP",
  "authors": [
    "Beatrice Mina",
    "Alex Paninforni",
    "Alessandro Pelizzola",
    "Marco Pretti"
  ],
  "comment": "35 pages, 14 figures",
  "categories": [
    "cond-mat.stat-mech",
    "nlin.AO"
  ],
  "abstract": "We study the non-equilibrium steady states in a totally-asymmetric simple-exclusion process with periodic boundary conditions, also incorporating (i) an extra (nearest-neighbour) repulsive interaction and (ii) hopping rates characterized by a smooth spatial inhomogeneity. We make use of a generalized mean-field approach (at the level of nearest-neighbour pair clusters), in combination with kinetic Monte Carlo simulations. It turns out that the so-called shock phase can exhibit a lot of qualitatively different subphases, including multiple-shock phases, and a minimal-current shock phase. We argue that the resulting, considerably rich phase diagram should be relatively insensitive to minor details of either interaction or spatial inhomogeneity. As a consequence, we also expect that our results help elucidate the nature of shock subphases detected in previous studies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-07T10:41:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic tasep",
      "interaction",
      "kinetic monte carlo simulations",
      "considerably rich phase diagram",
      "non-equilibrium steady states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}