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@ARTICLE{Fiorillo:623132,
      author       = {Fiorillo, Damiano Francesco Giuseppe and Raffelt, Georg G.},
      title        = {{T}heory of neutrino fast flavor evolution. {P}art {II}.
                      {S}olutions at the edge of instability},
      journal      = {Journal of high energy physics},
      volume       = {12},
      number       = {12},
      issn         = {1126-6708},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {PUBDB-2025-00619, arXiv:2409.17232},
      pages        = {205},
      year         = {2024},
      note         = {24 pages, 3 figures, version published on JHEP},
      abstract     = {In dense neutrino environments, such as provided by
                      core-collapse supernovae or neutron-star mergers, neutrino
                      angular distributions may be unstable to collective flavor
                      conversions, whose outcome remains to be fully understood.
                      These conversions are much faster than hydrodynamical
                      scales, suggesting that self-consistent configurations may
                      never be strongly unstable. With this motivation in mind, we
                      study weakly unstable modes, i.e., those with small growth
                      rates. We show that our newly developed dispersion relation
                      (Paper I of this series) allows for an expansion in powers
                      of the small growth rate. For weakly unstable distributions,
                      we show that the unstable modes must either move with
                      subluminal phase velocity, or very close to the speed of
                      light. The instability is fed from neutrinos moving
                      resonantly with the waves, allowing us to derive explicit
                      expressions for the growth rate. For axisymmetric
                      distributions, often assumed in the literature, numerical
                      examples show the accuracy of these expressions. We also
                      note that for the often-studied one-dimensional systems one
                      should not forget the axial-symmetry-breaking modes, and we
                      provide explicit expressions for the range of wavenumbers
                      that exhibit instabilities.},
      keywords     = {neutrino, angular distribution (INSPIRE) / velocity, phase
                      (INSPIRE) / symmetry, axial (INSPIRE) / photon, velocity
                      (INSPIRE) / dimension, 1 (INSPIRE) / stability (INSPIRE) /
                      flavor (INSPIRE) / collective (INSPIRE) / neutron star
                      (INSPIRE) / dispersion relation (INSPIRE) / hydrodynamics
                      (INSPIRE) / supernova (INSPIRE) / Neutrino Interactions
                      (autogen) / Neutrino Mixing (autogen)},
      cin          = {$Z_THAT$},
      ddc          = {530},
      cid          = {$I:(DE-H253)Z_THAT-20210408$},
      pnm          = {613 - Matter and Radiation from the Universe (POF4-613) /
                      DFG project G:(GEPRIS)283604770 - SFB 1258: Neutrinos und
                      Dunkle Materie in der Astro- und Teilchenphysik (NDM)
                      (283604770) / DFG project G:(GEPRIS)390783311 - EXC 2094:
                      ORIGINS: Vom Ursprung des Universums bis zu den ersten
                      Bausteinen des Lebens (390783311)},
      pid          = {G:(DE-HGF)POF4-613 / G:(GEPRIS)283604770 /
                      G:(GEPRIS)390783311},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2409.17232},
      howpublished = {arXiv:2409.17232},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2409.17232;\%\%$},
      UT           = {WOS:001387063800004},
      doi          = {10.1007/JHEP12(2024)205},
      url          = {https://bib-pubdb1.desy.de/record/623132},
}