Revisiting kinetic electrostatic electron non-linear (KEEN) waves in the presence of dynamical ions

Abstract

We revisit the kinetic electrostatic electron nonlinear (KEEN) waves studied by Afeyan et. al in 2014 using a hybrid flow-mapping strategy that combines the characteristic mapping method (CMM) with numerical flow iteration (NuFi). The study extends the classical setup to dynamical ions, comparing their impact on the long-time KEEN dynamics with the static-ion case. To this end, we extend the CMM-NuFI framework with a multi-map strategy, assigning one map to the ion and one to the electron characteristic flow. The resulting problem exhibits a wide separation of spatial and temporal scales, driven by the fine structures generated by the ponderomotive force and by the large ion-to-electron mass ratio, which renders it computationally prohibitive for conventional grid-based methods. Our multi-map CMM-NuFI method efficiently resolves these disparate scales, enabling long-time simulations of KEEN dynamics with fully dynamical ions.

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BibTeX

@misc{wilhelm2026revisiting,
  title = {{Revisiting kinetic electrostatic electron non-linear (KEEN) waves in the presence of dynamical ions}},
  author = {Rostislav-Paul Wilhelm and Philipp Krah and Kai Schneider and Fabio Bacchini and Virginie Grandgirard},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04941},
  eprint = {2609.04941},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04941},
}

RIS

TY  - UNPB
TI  - Revisiting kinetic electrostatic electron non-linear (KEEN) waves in the presence of dynamical ions
AU  - Rostislav-Paul Wilhelm
AU  - Philipp Krah
AU  - Kai Schneider
AU  - Fabio Bacchini
AU  - Virginie Grandgirard
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.04941
UR  - https://arxiv.org/abs/2609.04941
AB  - We revisit the kinetic electrostatic electron nonlinear (KEEN) waves studied by Afeyan et. al in 2014 using a hybrid flow-mapping strategy that combines the characteristic mapping method (CMM) with numerical flow iteration (NuFi). The study extends the classical setup to dynamical ions, comparing their impact on the long-time KEEN dynamics with the static-ion case. To this end, we extend the CMM-NuFI framework with a multi-map strategy, assigning one map to the ion and one to the electron characteristic flow. The resulting problem exhibits a wide separation of spatial and temporal scales, driven by the fine structures generated by the ponderomotive force and by the large ion-to-electron mass ratio, which renders it computationally prohibitive for conventional grid-based methods. Our multi-map CMM-NuFI method efficiently resolves these disparate scales, enabling long-time simulations of KEEN dynamics with fully dynamical ions.
ER  -

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