{
  "abstract": "We use independence Metropolis–Hastings dynamics on a complete graph as a testbed to investigate the Mpemba effect—a striking anomalous relaxation phenomenon characterized by a nonmonotonic dependence of the relaxation dynamics on the initial condition. Such nonmonotonicity is exemplified whenever a system prepared at a high temperature cools down to an environment’s temperature more efficiently than an identical system initialized at a lower temperature, which is closer to the target. We show that Metropolis dynamics on a complete graph does not exhibit the Mpemba effect, whereas the effect can arise on non-complete graphs with the same dynamics. Alternatively, even on a complete graph with Metropolis dynamics, anomalous relaxation can occur if the initial states are at equilibrium in the presence of a potential that is absent when the system is coupled to the target bath. Finally, we consider the more general case of a system relaxing with independence Metropolis–Hastings dynamics. We show that, with nonuniform priors, the dynamics can exhibit nonanalyticity in the relaxation direction, akin to a dynamical phase transition, and thus the Mpemba effect–even on a complete graph.",
  "abstract_shown": true,
  "affiliations": [
    "Max Planck Institute for the Physics of Complex Systems",
    "University of Virginia",
    "UNIVERSITY OF VIRGINIA;"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0,
        1,
        2
      ],
      "name": "Israel Klich",
      "orcid": "0000-0002-8979-0170"
    },
    {
      "affs": [
        0,
        1,
        2
      ],
      "name": "Marija Vucelja",
      "orcid": "0000-0003-0742-5290"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f15a3e2ywthzf.bib",
  "cited_by": 10,
  "doi": "10.1088/1751-8121/ae7228",
  "fulltext_url": null,
  "id": "f15a3e2ywthzf",
  "issns": [
    "1751-8113",
    "1751-8121"
  ],
  "landing_url": "https://doi.org/10.1088/1751-8121/ae7228",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
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  "openalex": "W2907797216",
  "pdf_url": "https://iopscience.iop.org/article/10.1088/1751-8121/ae7228/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-23",
  "publisher": "Institute of Physics",
  "ris": "https://research.draconitic.com/paper/f15a3e2ywthzf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:18Z",
      "native_id": "W2907797216",
      "source": "openalex",
      "url": "https://doi.org/10.1088/1751-8121/ae7228"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "openalex:3104|Theoretical and Computational Physics",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Mpemba effect on near-complete graphs with independence Metropolis–Hastings dynamics",
  "title_text": "Mpemba effect on near-complete graphs with independence Metropolis–Hastings dynamics",
  "type": "peer-reviewed",
  "updated_at": "2026-11-06T13:20:25Z",
  "url": "https://research.draconitic.com/paper/f15a3e2ywthzf",
  "venue": "Journal of Physics A Mathematical and Theoretical",
  "versions": []
}