{
  "abstract": "The fluctuation theorem and detailed fluctuation theorem are formulated for classical systems whose governing equations can be written in Schrödinger-type equations and which possess either a unitary or an antiunitary time-reversal operator. The initial state vector is treated as a random variable drawn from a time-reversal-symmetric probability distribution, and a stochastic relative entropy defined from its probability density is used to formulate these theorems. The framework is applied to two collisionless plasma systems: the linear Vlasov-Poisson and linear gyrokinetic systems. For the linear Vlasov-Poisson system, the governing equations are recast into Schrödinger form, and Hamiltonian eigenvectors corresponding to Case-Van Kampen modes are derived to construct explicit solutions. The stochastic relative entropy is interpreted as entropy generation associated with Landau damping, in which electric-field energy is transferred from the lowest Hermite state to higher-order Hermite states acting as thermal reservoirs. For a specific class of initial distributions, a new analytical expression for the probability density function of the stochastic relative entropy is derived and validated numerically. For the linear gyrokinetic system in a uniform magnetic field, the governing equations are likewise transformed into Schrödinger form, and the corresponding time-reversal operators are identified. The state-vector space is constructed as a tensor product of species, perpendicular-velocity, and parallel-velocity spaces. The resulting state vectors decompose into two orthogonal components: one coupled to electromagnetic fluctuations and the other corresponding to ballistic modes. These results establish a nonequilibrium statistical-mechanical framework for collisionless plasma dynamics and provide useful examples for future quantum-computing applications to plasma simulations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Plasmas Vol.33 (2026) 102101",
  "arxiv": "2606.17656",
  "author_total": 1,
  "authors": [
    {
      "name": "Hideo Sugama"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3f9haebz3nxs6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.17656",
  "fulltext_url": null,
  "id": "3f9haebz3nxs6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.17656",
  "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",
      "physics.plasm-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.17656",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3f9haebz3nxs6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2606.17656",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.17656"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.plasm-ph",
      "subfield": "plasma"
    }
  ],
  "title": "Schrödinger equations and fluctuation theorems for collisionless plasma systems",
  "title_text": "Schrödinger equations and fluctuation theorems for collisionless plasma systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:22Z",
  "url": "https://research.draconitic.com/paper/3f9haebz3nxs6",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1063/5.0348334",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}