{
  "abstract": "We investigate the non-equilibrium stationary states of a one-dimensional active gas composed of run-and-tumble particles (RTPs) undergoing motility-induced phase separation (MIPS) and subjected to local stochastic resetting at the origin. Unlike global resetting, local resetting maintains a mass-injection flux at the origin while preserving large-scale spatial self-organization. We demonstrate that above a critical resetting rate $r_c$, the active system undergoes a transition toward a stationary two-phase state featuring a dense liquid droplet centered at the origin coexisting with a surrounding gas phase. Using kinetic evolution equations, we derive the exact steady-state density profile expressed in terms of the Lambert function. The size of the droplet has a non-monotonic dependence on the resetting rate $r$, and attains its maximum. Furthermore, we analyze the dynamical stability of the supersaturated gas phase and show that a nucleated droplet relaxes exponentially toward its steady-state size with a relaxation timescale of $1/r$. We extend our framework to model a finite resetting velocity, proving that the stationary droplet size is invariant with respect to the resetting velocity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26149",
  "author_total": 1,
  "authors": [
    {
      "name": "Pascal Grange"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/34xkb4e88k7fa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26149",
  "fulltext_url": null,
  "id": "34xkb4e88k7fa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26149",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "openalex",
      "3104|Micro and Nano Robotics"
    ]
  ],
  "openalex": "W7222996343",
  "pdf_url": "https://arxiv.org/pdf/2610.26149",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/34xkb4e88k7fa.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.26149",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26149"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Motility-Induced Phase Separation of Run-and-Tumble Particles under Local Stochastic Resetting",
  "title_text": "Motility-Induced Phase Separation of Run-and-Tumble Particles under Local Stochastic Resetting",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/34xkb4e88k7fa",
  "venue": "arXiv",
  "versions": []
}