{
  "annotation_id": "26688347-2376-42e3-aed3-d851db267f04",
  "date_created": "2026-02-17T05:53:15.373000Z",
  "date_modified": "2026-02-17T05:53:15.373000Z",
  "file_hash": "810a3860dd45edf440597e39154180bccd660bcf39b7c9efce7ed01ecdbddeb8",
  "private": false,
  "record": {
    "abstract": "We study the Brownian motion of a rigid rod threading through a small fixed ring while the ring can freely rotate. We derive the distribution function for the sliding displacement and the unit vector along the rod both at equilibrium and non-equilibrium. The equilibrium distribution is quadratic in the sliding displacement and is controlled by the moment of inertia (mass distribution). Applying the Onsager variational principle, we derive a Smoluchowski equation in which sliding and rotational diffusion are coupled. The mean square displacement (MSD) of sliding shows a metastable plateau in a certain time range before it approaches the final equilibrium value. The longest sliding relaxation time decreases as $\\alpha^{-1/2}$ as the moment of inertia increases. The rotational relaxation time obtained from the orientational correlation function is longer than that of a rod with its center fixed but faster than a rod with one end fixed. These results may be useful in understanding the dynamics of polymers connected by sliding rings.",
    "arxiv_id": "2601.08130",
    "authors": [
      "Zhongqiang Xiong",
      "Shigeyuki Komura",
      "Masao Doi"
    ],
    "categories": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Brownian motion of a rod threading through a ring with fixed ring-center",
    "url": "https://arxiv.org/abs/2601.08130",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b584038a-6834-4742-b363-5e8284abb007",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}