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PreprintCC BY-NC-ND 4.0arXiv

Neutrino flavor instabilities intermediate between slow and fast

  • Nicolas Viaux
  • Lucas Johns
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Abstract

The neutrino flavor composition in supernovae and neutron star mergers is shaped by flavor instabilities, which are commonly classified into three types: slow (SFI), fast (FFI), and collisional (CFI). The focus here is on mixed-type instabilities combining attributes of the standard varieties. We examine instability growth rates in two-dimensional parameter spaces (``phase diagrams'') whose axes correspond to instabilities of pure type. We find critical curves connecting the pure-type instability onset points. We also exhibit qualitative trends in the growth-rate spectra γk, emphasizing the occurrence of crossovers and phase transitions in the fastest-growing Fourier mode kmax and drawing attention to the distinction between spatial-mean (k = 0) and flavor-wave (k ≠ 0) instabilities. Our paper is a step toward understanding flavor instabilities as they actually occur in nature rather than in idealized limits.

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Cite

BibTeXRIS
BibTeX
@misc{viaux2026neutrino,
  title = {{Neutrino flavor instabilities intermediate between slow and fast}},
  author = {Nicolas Viaux and Lucas Johns},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02332},
  eprint = {2610.02332},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02332},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Neutrino flavor instabilities intermediate between slow and fast
AU  - Nicolas Viaux
AU  - Lucas Johns
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.02332
UR  - https://arxiv.org/abs/2610.02332
AB  - The neutrino flavor composition in supernovae and neutron star mergers is shaped by flavor instabilities, which are commonly classified into three types: slow (SFI), fast (FFI), and collisional (CFI). The focus here is on mixed-type instabilities combining attributes of the standard varieties. We examine instability growth rates in two-dimensional parameter spaces (``phase diagrams'') whose axes correspond to instabilities of pure type. We find critical curves connecting the pure-type instability onset points. We also exhibit qualitative trends in the growth-rate spectra γ_k, emphasizing the occurrence of crossovers and phase transitions in the fastest-growing Fourier mode k_max and drawing attention to the distinction between spatial-mean (k = 0) and flavor-wave (k ≠ 0) instabilities. Our paper is a step toward understanding flavor instabilities as they actually occur in nature rather than in idealized limits.
ER  -