{
  "id": "2310.17391",
  "version": "v1",
  "published": "2023-10-26T13:39:48.000Z",
  "updated": "2023-10-26T13:39:48.000Z",
  "title": "Theory of Hyperuniformity at the Absorbing State Transition",
  "authors": [
    "Xiao Ma",
    "Johannes Pausch",
    "Michael E. Cates"
  ],
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Hyperuniformity, whereby the static structure factor (or density correlator) obeys $S(q)\\sim q^{\\varsigma}$ with $\\varsigma> 0$, emerges at criticality in systems having multiple absorbing states, such as periodically sheared suspensions. These lie in the conserved directed percolation (C-DP) universality class, for which analytic results for $\\varsigma$ are lacking. Specifically, $\\varsigma$ appears inaccessible within an exact `interfacial mapping' that yields other C-DP exponents via functional renormalization group (FRG). Here, using Doi-Peliti field theory for interacting particles and perturbative RG about a Gaussian model, we find $\\varsigma = 0^+$ and $\\varsigma= 2\\epsilon/9 + O(\\epsilon^2)$ in dimension $d>4$ and $d=4-\\epsilon$ respectively. The latter disproves a previously conjectured scaling relation for $\\varsigma$. We show how hyperuniformity emerges from anticorrelation of strongly fluctuating active and passive densities. Our calculations also yield the remaining C-DP exponents without recourse to functional RG methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-26T13:39:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "absorbing state transition",
      "hyperuniformity",
      "c-dp exponents",
      "static structure factor",
      "functional renormalization group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}