{
  "id": "2209.06065",
  "version": "v1",
  "published": "2022-09-13T15:20:33.000Z",
  "updated": "2022-09-13T15:20:33.000Z",
  "title": "Minimal model of drag in one-dimensional crystals",
  "authors": [
    "Harshitra Mahalingam",
    "Zhun Wai Yap",
    "Ben A. Olsen",
    "Aleksandr Rodin"
  ],
  "comment": "7 pages, 4 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci"
  ],
  "abstract": "Using a non-perturbative classical approach, we study the dynamics of a mobile particle interacting with an infinite one-dimensional (1D) chain of harmonic oscillators. This minimal system is an effective model for many 1D transport phenomena, such as molecular motion in nanotubes and ionic conduction through solid-state materials. As expected, coupling between the mobile particle and the chain induces dissipation of the mobile particle's energy. However, both numerical and analytic results demonstrate an unconventional non-monotonic dependence of the drag on particle speed. In addition, when this system is subjected to a constant bias, it supports multiple steady-state drift velocities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-13T15:20:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "minimal model",
      "one-dimensional crystals",
      "mobile particle",
      "supports multiple steady-state drift velocities",
      "unconventional non-monotonic dependence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}