Stability of rotating, charged fluids

Generalization of the Høiland conditions in Newtonian nonconductive case

authored by: Kris Schroven, Vladimír Karas, Jiří Horák, Audrey Trova, Eva Hackmann
Abstract: We study the conditions for stability of electrically charged, nonconductive perfect fluid tori with respect to linear perturbations. To this end, we employ Lagrangian perturbation formalism, and we assume a system where the fluid orbits a central body. Gravitational field of the latter is described in the Newtonian framework. We first formulate the criteria valid for a general, nonaxisymmetric situation, and then we concentrate on the axisymmetric model in more detail. In the latter case, we generalize the Høiland criterion of stability to a nonvanishing electric charge and classify special examples. Toroidal structures with constant angular momentum distribution are found to be linearly stable. Subsequently, like in the uncharged case, rotating charged fluids are found to be unstable with respect to nonaxisymmetric perturbations.
Organisation(s): QuantumFrontiers
External Organisation(s): Czech Academy of Sciences
University of Bremen
Center of Applied Space Technology and Microgravity (ZARM)
Type: Article
Journal: Physical Review D
Volume: 109
ISSN: 2470-0010
Publication date: 26.02.2024
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Nuclear and High Energy Physics
Electronic version(s): https://doi.org/10.48550/arXiv.2402.03911 (Access: Open)
https://doi.org/10.1103/PhysRevD.109.043047 (Access: Closed)

BibTeX

@article{05d3a534c1a641c69fc42d850935e04a,
title = "Stability of rotating, charged fluids: Generalization of the H{\o}iland conditions in Newtonian nonconductive case",
abstract = "We study the conditions for stability of electrically charged, nonconductive perfect fluid tori with respect to linear perturbations. To this end, we employ Lagrangian perturbation formalism, and we assume a system where the fluid orbits a central body. Gravitational field of the latter is described in the Newtonian framework. We first formulate the criteria valid for a general, nonaxisymmetric situation, and then we concentrate on the axisymmetric model in more detail. In the latter case, we generalize the H{\o}iland criterion of stability to a nonvanishing electric charge and classify special examples. Toroidal structures with constant angular momentum distribution are found to be linearly stable. Subsequently, like in the uncharged case, rotating charged fluids are found to be unstable with respect to nonaxisymmetric perturbations.",
author = "Kris Schroven and Vladim{\'i}r Karas and Ji{\v r}{\'i} Hor{\'a}k and Audrey Trova and Eva Hackmann",
note = "Funding Information: We wish to acknowledge the continued support from the Czech Science Foundation EXPRO program (VK and JH, Ref. No. 21-06825X) and the CTA-CZ research infrastructure of the Czech Ministry of Education, Youth and Sports (Ref. No. LM2023047). A. T. and E. H. acknowledge the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) funded under the Project No. 510727404. Moreover, E. H. acknowledges the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany{\textquoteright}s Excellence Strategy—EXC-2123 QuantumFrontiers—390837967. We further thank Shokoufe Faraji, Ji{\v r}{\'i} Kov{\'a}{\v r} and Petr Slan{\'y} for inspiring discussions.",
year = "2024",
month = feb,
day = "26",
doi = "10.48550/arXiv.2402.03911",
language = "English",
volume = "109",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Institute of Physics",
number = "4",
}