{
  "id": "2103.12578",
  "version": "v1",
  "published": "2021-03-23T14:30:41.000Z",
  "updated": "2021-03-23T14:30:41.000Z",
  "title": "Defects Superdiffusion and Unbinding in a 2D XY Model of Self-Driven Rotors",
  "authors": [
    "Ylann Rouzaire",
    "Demian Levis"
  ],
  "comment": "6 pages, 5 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We consider a non-equilibrium extension of the two-dimensional (2D) XY model, equivalent to the noisy Kuramoto model of synchronization with short-range coupling, where rotors sitting on a square lattice are self-driven by random intrinsic frequencies. We study the static and dynamic properties of topological defects (vortices) and establish how self-spinning affects the Berezenskii-Kosterlitz-Thouless phase transition scenario. The non-equilibrium drive breaks the quasi-long-range ordered phase of the 2D XY model into a mosaic of ordered domains of controllable size and results in self-propelled vortices that generically unbind at any temperature, featuring superdiffusion $\\langle r^2(t)\\rangle\\sim t^{3/2}$ with a Gaussian distribution of displacements. Our work provides a simple framework to investigate topological defects in active matter and sheds new light on the problem of synchronization of locally coupled oscillators.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-23T14:30:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "2d xy model",
      "defects superdiffusion",
      "self-driven rotors",
      "noisy kuramoto model",
      "random intrinsic frequencies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}