{
  "abstract": "We study the dynamics of an athermal inertial active particle confined in a harmonic potential and moving through shear-thickening media in one dimension. The activity is modeled using a symmetric dichotomous noise of strength $Σ$ and flipping rate $λ$, which mimics a run-and-tumble particle. The shear-thickening response of the medium is incorporated through a velocity-dependent viscous force of the form $g(v) \\sim \\tan(v)$. Starting from the Fokker-Planck equations corresponding to the particle's dynamics, we numerically compute the time-dependent joint probability density function $f(x,v,t)$ using a finite-volume upwind scheme. Next, we numerically solve the particle's equations of motion to obtain the steady-state position $P_s(x)$ and velocity $W_s(v)$ distributions and compare them with the marginal distributions obtained from $f(x,v,t)$ at sufficiently large $t$. The two approaches show excellent agreement. Both $P_s(x)$ and $W_s(v)$ exhibit several intriguing transitions as $λ$ is varied, and they eventually approach Gaussian-like profiles at sufficiently large $λ$. Our study of the time-dependent position-velocity correlation, $\\langle xv \\rangle(t)$, shows that larger values of $λ$ lead to faster relaxation to the steady state when all other parameters are held constant.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.21650",
  "author_total": 2,
  "authors": [
    {
      "name": "Subhanker Howlader"
    },
    {
      "name": "Prasenjit Das"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2n5ssfa6rk9az.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.21650",
  "fulltext_url": null,
  "id": "2n5ssfa6rk9az",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.21650",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.soft"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.21650",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2n5ssfa6rk9az.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.21650",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.21650"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Distribution Functions and Moments of Harmonically Trapped Inertial Run-and-Tumble Particles in a Shear-Thickening Medium",
  "title_text": "Distribution Functions and Moments of Harmonically Trapped Inertial Run-and-Tumble Particles in a Shear-Thickening Medium",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:17Z",
  "url": "https://research.draconitic.com/paper/2n5ssfa6rk9az",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1002/adts.70587",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}