{
  "abstract": "We develop a self-consistent phasor-particle-in-cell algorithm to capture bidirectional inductive and capacitive feedback between an inductively coupled plasma and a distributed radio-frequency coil circuit. The method couples a two-dimensional axisymmetric particle-in-cell model with Monte Carlo collisions to a network that resolves the current and potential of each coil turn. Precomputed unit-current Helmholtz solutions provide the vacuum impedance matrix, while projection of the plasma-only field supplies the series back electromotive force. An established charge-based electrostatic coupling is extended to individual turns: surface charges obtained from a discrete Gauss law consistent with the Poisson solver yield shunt displacement currents through their fundamental harmonics. Both responses are accumulated over a complete radio-frequency period to update the relaxed circuit state once per period. Vacuum tests showed differences of -1.58 percent in single-solenoid inductance and -4.38 percent in mutual inductance relative to analytical references. A particle-free five-node manufactured benchmark with both coupling channels active yielded a scaled complex-state error of 1.90 x 10^-5 against the continuous reference and approximately second-order spatial convergence. Application to an unshielded argon reference cell reached statistically stationary states at coil-port powers of 60 and 100 W. Net capacitive heating accounted for 29.35 percent and 20.07 percent, respectively, of the combined inductive and capacitive plasma power. Independently accumulated field-side and circuit-side powers, including conductor loss, agreed within approximately 0.5 percent. These results support turn-resolved bidirectional field-circuit coupling for axisymmetric plasma simulations using a fundamental-frequency circuit representation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15043",
  "author_total": 7,
  "authors": [
    {
      "name": "Zhaoyu Chen"
    },
    {
      "name": "Zili Chen"
    },
    {
      "name": "Jingwen Xu"
    },
    {
      "name": "Yonghua Ding"
    },
    {
      "name": "Wei Jiang"
    },
    {
      "name": "Donghui Xia"
    },
    {
      "name": "Ya Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cabvydgf2x3s5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15043",
  "fulltext_url": null,
  "id": "cabvydgf2x3s5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15043",
  "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",
      "physics.comp-ph"
    ],
    [
      "arxiv",
      "physics.plasm-ph"
    ],
    [
      "openalex",
      "2208|Plasma Diagnostics and Applications"
    ]
  ],
  "openalex": "W7213234839",
  "pdf_url": "https://arxiv.org/pdf/2609.15043",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cabvydgf2x3s5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:01Z",
      "native_id": "2609.15043",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15043"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.plasm-ph",
      "subfield": "plasma"
    }
  ],
  "title": "Phasor-particle-in-cell algorithm for bidirectional external-circuit coupling of inductively coupled plasma",
  "title_text": "Phasor-particle-in-cell algorithm for bidirectional external-circuit coupling of inductively coupled plasma",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:01Z",
  "url": "https://research.draconitic.com/paper/cabvydgf2x3s5",
  "venue": "arXiv",
  "versions": []
}