{
  "id": "2401.09123",
  "version": "v1",
  "published": "2024-01-17T10:53:55.000Z",
  "updated": "2024-01-17T10:53:55.000Z",
  "title": "Hyperuniformity in the Manna Model, Conserved Directed Percolation and Depinning",
  "authors": [
    "Kay Joerg Wiese"
  ],
  "comment": "3 pages, 3 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We use an exact mapping of the Manna model, or equivalently conserved directed percolation, onto disordered elastic manifolds at depinning to show that particle-density fluctuations in these two models are hyperuniform. The structure factor of the particle density behaves for small $q$ as $S(q)\\sim |q|^\\sigma$ with $\\sigma={4-d-2\\zeta}$, where $\\zeta$ is the roughness exponent at depinning. In dimension $d=1$, $\\sigma=1/2$, while for all dimensions $0.6> \\sigma\\ge0$. Our results fit well known simulations in the literature, except in $d=1$, where we perform our own simulations to confirm our findings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-17T10:53:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conserved directed percolation",
      "manna model",
      "hyperuniformity",
      "particle density behaves",
      "results fit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}