{
  "abstract": "In this study, we propose a kinetic trap--diffusion model to describe the emergence of Pareto distributions in money-exchange systems. Using kinetic Monte Carlo simulations, we show that the Pareto exponent depends explicitly on temperature and takes values in the range $0.5 \\leq ν(T) \\leq 1.5$. In the present framework, the temperature $T$ acts as a control parameter that regulates the exchange dynamics through thermally activated diffusion. Unlike conventional kinetic exchange models, where the Pareto exponent is fixed by microscopic rules, the proposed model generates a range of Pareto exponents as a function of $T$. The temperature-dependent Pareto exponent constitutes the central novelty of the proposed kinetic trap--diffusion framework. This feature provides a natural explanation for the empirically observed variations in Pareto exponents across different countries and economic conditions. In addition, the fraction of zero-wealth agents and the Gini index exhibit a non-monotonic dependence on temperature, revealing distinct dynamical regimes arising from the competition between trapping and money mobility. The persistence of the Pareto-like stationary distribution under strongly nonuniform initial conditions further supports the robustness of the proposed mechanism. These results show that different Pareto-tail and inequality regimes can emerge from the same trap--diffusion dynamics through changes in a single control parameter",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08143",
  "author_total": 1,
  "authors": [
    {
      "name": "Ekrem Aydiner"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cqz11h1h4eh51.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08143",
  "fulltext_url": null,
  "id": "cqz11h1h4eh51",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08143",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "physics.soc-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.08143",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cqz11h1h4eh51.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.08143",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08143"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "A New Model for the Income Distribution",
  "title_text": "A New Model for the Income Distribution",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/cqz11h1h4eh51",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.physa.2026.132084",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}