{
  "abstract": "We derive a new set of bounds controlling the speed-up of the survival rate of trajectory-dependent observables induced by the application of a perturbation. Via the study of survival probabilities in two different contexts, continuous-time Markov jump processes and overdamped diffusions, we obtain different fashions of the bound on the achievable boost. These bounds, obtained by a nonlinear response theory of constrained path probabilities, are explicitly linked to thermodynamics. For arbitrary time-dependent survival rates, we find a linear bound that depends on both the perturbation strength and the entropy production rate prior to the perturbation. For rare processes characterized by a constant survival rate, the bound is exponential and is determined by the excess heat generated by the perturbation. We exemplify the inequalities on two prototypical model systems, namely, a unicyclic network and forced diffusion in a bistable potential.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.03179",
  "author_total": 2,
  "authors": [
    {
      "name": "Davide Santolin"
    },
    {
      "name": "Gianmaria Falasco"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/485p6w32j96g0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.03179",
  "fulltext_url": null,
  "id": "485p6w32j96g0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.03179",
  "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",
      "3109|Advanced Thermodynamics and Statistical Mechanics"
    ]
  ],
  "openalex": "W7208733011",
  "pdf_url": "https://arxiv.org/pdf/2609.03179",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/485p6w32j96g0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:34Z",
      "native_id": "2609.03179",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.03179"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Accelerating stochastic processes through nonequilibrium driving: Thermodynamic constraints on the maximum speed-up",
  "title_text": "Accelerating stochastic processes through nonequilibrium driving: Thermodynamic constraints on the maximum speed-up",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:34Z",
  "url": "https://research.draconitic.com/paper/485p6w32j96g0",
  "venue": "arXiv",
  "versions": []
}