001     626007
005     20250525033126.0
024 7 _ |a arXiv:2412.09027
|2 arXiv
024 7 _ |a altmetric:171939739
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037 _ _ |a PUBDB-2025-01244
041 _ _ |a English
082 _ _ |a 530
088 _ _ |a arXiv:2412.09027
|2 arXiv
100 1 _ |a Fiorillo, Damiano Francesco Giuseppe
|0 P:(DE-H253)PIP1111196
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|e Corresponding author
245 _ _ |a Fast flavor pendulum: Instability condition
260 _ _ |c 2024
336 7 _ |a Preprint
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|s 1747643071_396522
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336 7 _ |a WORKING_PAPER
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336 7 _ |a Electronic Article
|0 28
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336 7 _ |a preprint
|2 DRIVER
336 7 _ |a ARTICLE
|2 BibTeX
336 7 _ |a Output Types/Working Paper
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500 _ _ |a 15 pages, 6 figures
520 _ _ |a Even in the absence of neutrino masses, a neutrino gas can exhibit a homogeneous flavor instability that leads to a periodic motion known as the fast flavor pendulum. A well-known necessary condition is a crossing of the angular flavor lepton distribution. In an earlier work, some of us showed that homogeneous flavor instabilities also obey a Nyquist criterion, inspired by plasma physics. This condition, while more restrictive than the angular crossing, is only sufficient if the unstable branch of the dispersion relation is bounded by critical points that both lie under the light cone (points with subluminal phase velocity). While the lepton-number angle distribution, assumed to be axially symmetric, easily allows one to determine the real-valued branch of the dispersion relation and to recognize if instead superluminal critical points exist, this graphical method does not translate into a simple instability condition. We discuss the homogeneous mode in the more general context of the dispersion relation for modes with arbitrary wave number and stress that it plays no special role on this continuum, except for its regular but fragile long-term behavior, owed to its many symmetries.
536 _ _ |a 613 - Matter and Radiation from the Universe (POF4-613)
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536 _ _ |a ANET - NEUTRINO QUANTUM KINETICS (101087058)
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536 _ _ |a DFG project G:(GEPRIS)283604770 - SFB 1258: Neutrinos und Dunkle Materie in der Astro- und Teilchenphysik (NDM) (283604770)
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536 _ _ |a DFG project G:(GEPRIS)390783311 - EXC 2094: ORIGINS: Vom Ursprung des Universums bis zu den ersten Bausteinen des Lebens (390783311)
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700 1 _ |a Goimil-García, Manuel
|0 0009-0001-0518-9274
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700 1 _ |a Raffelt, Georg G.
|0 0000-0002-0199-9560
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910 1 _ |a External Institute
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910 1 _ |a Deutsches Elektronen-Synchrotron
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913 1 _ |a DE-HGF
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|l Matter and the Universe
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915 _ _ |a Published
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980 _ _ |a preprint
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