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PreprintarXiv licencearXiv

Reduced Molecular Plasma Kinetics with Non-Boltzmann Vibrational Distribution

Abstract

Vibrational kinetics can strongly affect energy transfer, chemical kinetics, and discharge behavior in molecular plasmas, but resolving all internal states is often impractical for reactor-scale simulation. Compact, physics-based vibrational closures are particularly needed when complete state-to-state (StS) data are limited. Starting from a detailed H2 StS plasma-kinetics framework coupled to an electron-Boltzmann calculation, this work develops a reduced vibrational-kinetics formulation. The H2 vibrational ladder is reduced to two non-Boltzmann groups that evolve their population and internal energy. State-resolved reaction rates and associated energy-exchange terms are projected onto the groups for subsequent tabulation in reactor-scale plasma models. StS-informed samples of the reduced-model are propagated for pulsed RF H2 plasmas across a scan of pulse-averaged absorbed power and compared with the corresponding StS simulations. Predictions from the sampled models reproduce the bulk plasma response, including electron density, atomic-H density, and H3+ density. Discrepancies in H- production and the upper-energy-group vibrational temperature persist across the sampled reductions. This indicates a limitation of the present VDF reconstruction rather than the nominal parameter choice. Tail-sensitive processes therefore require a more accurate representation of the vibrational distribution.

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BibTeX
@misc{pokharel2026reduced,
  title = {{Reduced Molecular Plasma Kinetics with Non-Boltzmann Vibrational Distribution}},
  author = {Sagar Pokharel and Laxminarayan L. Raja},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.25738},
  eprint = {2610.25738},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.25738},
}
RIS
TY  - UNPB
TI  - Reduced Molecular Plasma Kinetics with Non-Boltzmann Vibrational Distribution
AU  - Sagar Pokharel
AU  - Laxminarayan L. Raja
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.25738
UR  - https://arxiv.org/abs/2610.25738
AB  - Vibrational kinetics can strongly affect energy transfer, chemical kinetics, and discharge behavior in molecular plasmas, but resolving all internal states is often impractical for reactor-scale simulation. Compact, physics-based vibrational closures are particularly needed when complete state-to-state (StS) data are limited. Starting from a detailed H_2 StS plasma-kinetics framework coupled to an electron-Boltzmann calculation, this work develops a reduced vibrational-kinetics formulation. The H_2 vibrational ladder is reduced to two non-Boltzmann groups that evolve their population and internal energy. State-resolved reaction rates and associated energy-exchange terms are projected onto the groups for subsequent tabulation in reactor-scale plasma models. StS-informed samples of the reduced-model are propagated for pulsed RF H_2 plasmas across a scan of pulse-averaged absorbed power and compared with the corresponding StS simulations. Predictions from the sampled models reproduce the bulk plasma response, including electron density, atomic-H density, and H_3^+ density. Discrepancies in H^- production and the upper-energy-group vibrational temperature persist across the sampled reductions. This indicates a limitation of the present VDF reconstruction rather than the nominal parameter choice. Tail-sensitive processes therefore require a more accurate representation of the vibrational distribution.
ER  -