{
  "abstract": "We study a one-dimensional diffusive particle subject to stochastic resetting to its initial position, in the presence of an imperfect, localized target that can absorb (kill) the particle, modeled by a delta-function killing rate. The central question is how stochastic resetting competes with drift-induced transience and the target's finite reactivity. Exact Laplace-space expressions are derived for the non-normalized propagator and survival probability, for arbitrary diffusion coefficient $D$, resetting rate $r$, and killing strength $k$, first in the absence of drift and then under a constant drift. The long-time behavior separates into distinct regimes. Without resetting, unbiased diffusion exhibits the recurrent algebraic survival law $S(t)\\sim t^{-1/2}$, whereas any nonzero drift renders the motion transient with respect to the target and leaves a nonzero ultimate survival probability. By contrast, any $r>0$ and $k>0$ repeatedly renews encounters with the target and restores eventual absorption, yielding an exponential survival law $S(t)\\sim A e^{-θt}$. The decay rate $θ$ is given by the dominant (rightmost) pole of the Laplace transform, and the surviving density converges after normalization to an explicit quasi-stationary profile. The driftless and perfectly absorbing limits recover standard resetting results. These formulas provide a unified description of the crossover between recurrence-controlled, transience-controlled, and renewal-controlled survival.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. E 114, 044105 (2026)",
  "arxiv": "2609.22527",
  "author_total": 1,
  "authors": [
    {
      "name": "Alain Mazzolo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2t3142kt5qm1v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.22527",
  "fulltext_url": null,
  "id": "2t3142kt5qm1v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.22527",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2609.22527",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2t3142kt5qm1v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:01Z",
      "native_id": "2609.22527",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.22527"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Diffusion with stochastic resetting in the presence of a delta killing trap: Drift-controlled survival regimes",
  "title_text": "Diffusion with stochastic resetting in the presence of a delta killing trap: Drift-controlled survival regimes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:01Z",
  "url": "https://research.draconitic.com/paper/2t3142kt5qm1v",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/3s1c-k5vg",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}