{
  "abstract": "Driven-diffusive systems combining spatial exclusion and bulk exchange, such as the totally asymmetric simple exclusion process coupled with Langmuir kinetics (TASEP-LK), serve as foundational models for particle transport in vehicular traffic, conveyor networks, and mesoscopic flow channels. In this work, we employ an exact Doi-Peliti field-theoretic operator formulation in Fock space to evaluate steady-state observables, continuous phase landscapes, and spatial correlations in finite linear chains up to $k = 16$. By introducing a decomposition in terms of biorthonormal eigenvectors for asymmetric non-Hermitian matrices, the stationary state is calculated directly from the kernel of the quasi-Hamiltonian, completely bypassing the computationally prohibitive complexity of full matrix diagonalization and time-dependent matrix exponentiation. Across distinct rate regimes and global parametric scans, our exact discrete calculations demonstrate that finite-size stochastic fluctuations naturally smear out singular domain walls, producing smooth density profiles and continuous phase crossovers. Finite-size scaling illustrates how local profiles systematically steepen toward the sharp domain wall predicted by continuum field theory as $k \\to \\infty$. Furthermore, two-point correlation analysis reveals that in slow-kinetics regimes, spatial fluctuations generate strong inter-site cumulants, causing standard mean-field approximations to systematically underestimate joint occupancy probabilities by 50\\%. These findings emphasize the necessity of analytical methods for modeling mesoscopic transport systems and short traffic corridors where local stochastic fluctuations and spatial correlations dominate the stationary dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07053",
  "author_total": 4,
  "authors": [
    {
      "name": "Luis D. S. Silva"
    },
    {
      "name": "Arthur M. S. Carvalho"
    },
    {
      "name": "Francisco A. G. Almeida"
    },
    {
      "name": "Gerson C. Duarte-Filho"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/be49pqtrt981n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07053",
  "fulltext_url": null,
  "id": "be49pqtrt981n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07053",
  "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.bio-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07053",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/be49pqtrt981n.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:30Z",
      "native_id": "2611.07053",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07053"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.bio-ph",
      "subfield": "biological-medical"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Langmuir kinetics and totally asymmetric volume exclusion in linear chains via Fock space formalism",
  "title_text": "Langmuir kinetics and totally asymmetric volume exclusion in linear chains via Fock space formalism",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:40Z",
  "url": "https://research.draconitic.com/paper/be49pqtrt981n",
  "venue": "arXiv",
  "versions": []
}