Built on

C. Yi, L. Ma, J.D. Martin and H. Duan, Dispersion relation of the fast neutrino oscillation wave , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
F. Capozzi, G. Raffelt and T. Stirner, Fast Neutrino Flavor Conversion: Collective Motion vs. Decoherence , JCAP 09
Original
1906
Earlier work this paper cites.
L. Johns, H. Nagakura, G.M. Fuller and A. Burrows, Neutrino oscillations in supernovae: angular moments and fast instabilities , Phys. Rev. D 101
Original
1910
Earlier work this paper cites.
L.D. Landau, On the vibrations of the electronic plasma , J. Phys. (USSR) 10
1946
Earlier work this paper cites.
N.G. Van Kampen, On the theory of stationary waves in plasmas , Physica 21
1955
Earlier work this paper cites.
P.A. Sturrock, Kinematics of growing waves , Physical Review 112
1958
Earlier work this paper cites.
K.M. Case, Plasma oscillations , Annals of Physics 7
1959
Earlier work this paper cites.
O. Penrose, Electrostatic Instabilities of a Uniform Non-Maxwellian Plasma , Physics of Fluids 3
1960
Earlier work this paper cites.
A.D. Dolgov, Neutrinos in the early universe , Sov. J. Nucl. Phys. 33
1981
Earlier work this paper cites.
L.D. Landau and E.M. Lifshitz, Fluid Mechanics: Volume 6 , vol. 6, Elsevier (1987)
1987
Earlier work this paper cites.
M.A. Rudzsky, Kinetic equations for neutrino spin- and type-oscillations in a medium , Astrophys. Space Sci 165
1990
Earlier work this paper cites.
G. Sigl and G. Raffelt, General kinetic description of relativistic mixed neutrinos , Nucl. Phys. B 406
1993
Earlier work this paper cites.
D. Sagan, On the physics of Landau damping , Am. J. Phys. 62
1994
Earlier work this paper cites.
M. Sirera and A. Perez, Relativistic Wigner function approach to neutrino propagation in matter , Phys. Rev. D 59
1999
Earlier work this paper cites.
S. Yamada, Boltzmann equations for neutrinos with flavor mixings , Phys. Rev. D 62
2000
Earlier work this paper cites.

Similar

Y. Pehlivan, A.B. Balantekin, T. Kajino and T. Yoshida, Invariants of collective neutrino oscillations , Phys. Rev. D 84
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Then

L. Johns and Z. Xiong, Collisional instabilities of neutrinos and their interplay with fast flavor conversion in compact objects , Phys. Rev. D 106
Original
2022
Later among the works it cites.
H. Nagakura and M. Zaizen, Time-Dependent and Quasisteady Features of Fast Neutrino-Flavor Conversion , Phys. Rev. Lett. 129
Original
2022
Later among the works it cites.
D.F.G. Fiorillo and G.G. Raffelt, Slow and fast collective neutrino oscillations: Invariants and reciprocity , Phys. Rev. D 107
Original
2023
Later among the works it cites.
D.F.G. Fiorillo and G.G. Raffelt, Flavor solitons in dense neutrino gases , Phys. Rev. D 107
Original
2023
Later among the works it cites.
L. Johns, Collisional Flavor Instabilities of Supernova Neutrinos , Phys. Rev. Lett. 130

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2024

Fast Flavor Pendulum: Instability Condition

Fiorillo, Damiano F. G., Goimil-García, Manuel, Raffelt, Georg G.

Understand

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).

Built on

C. Yi, L. Ma, J.D. Martin and H. Duan, Dispersion relation of the fast neutrino oscillation wave , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
F. Capozzi, G. Raffelt and T. Stirner, Fast Neutrino Flavor Conversion: Collective Motion vs. Decoherence , JCAP 09
Original
1906
Earlier work this paper cites.
L. Johns, H. Nagakura, G.M. Fuller and A. Burrows, Neutrino oscillations in supernovae: angular moments and fast instabilities , Phys. Rev. D 101
Original
1910
Earlier work this paper cites.
L.D. Landau, On the vibrations of the electronic plasma , J. Phys. (USSR) 10
1946
Earlier work this paper cites.
N.G. Van Kampen, On the theory of stationary waves in plasmas , Physica 21
1955
Earlier work this paper cites.
P.A. Sturrock, Kinematics of growing waves , Physical Review 112
1958
Earlier work this paper cites.
K.M. Case, Plasma oscillations , Annals of Physics 7
1959
Earlier work this paper cites.
O. Penrose, Electrostatic Instabilities of a Uniform Non-Maxwellian Plasma , Physics of Fluids 3
1960
Earlier work this paper cites.
A.D. Dolgov, Neutrinos in the early universe , Sov. J. Nucl. Phys. 33
1981
Earlier work this paper cites.
L.D. Landau and E.M. Lifshitz, Fluid Mechanics: Volume 6 , vol. 6, Elsevier (1987)
1987
Earlier work this paper cites.
M.A. Rudzsky, Kinetic equations for neutrino spin- and type-oscillations in a medium , Astrophys. Space Sci 165
1990
Earlier work this paper cites.
G. Sigl and G. Raffelt, General kinetic description of relativistic mixed neutrinos , Nucl. Phys. B 406
1993
Earlier work this paper cites.
D. Sagan, On the physics of Landau damping , Am. J. Phys. 62
1994
Earlier work this paper cites.
M. Sirera and A. Perez, Relativistic Wigner function approach to neutrino propagation in matter , Phys. Rev. D 59
1999
Earlier work this paper cites.
S. Yamada, Boltzmann equations for neutrinos with flavor mixings , Phys. Rev. D 62
2000
Earlier work this paper cites.

Similar

Y. Pehlivan, A.B. Balantekin, T. Kajino and T. Yoshida, Invariants of collective neutrino oscillations , Phys. Rev. D 84
Original
2011
Cited alongside, same era.
C. Volpe, D. Väänänen and C. Espinoza, Extended evolution equations for neutrino propagation in astrophysical and cosmological environments , Phys. Rev. D 87
Original
2013
Cited alongside, same era.
G. Mangano, A. Mirizzi and N. Saviano, Damping the neutrino flavor pendulum by breaking homogeneity , Phys. Rev. D 89
Original
2014
Cited alongside, same era.
A. Vlasenko, G.M. Fuller and V. Cirigliano, Neutrino Quantum Kinetics , Phys. Rev. D 89
Original
2014
Cited alongside, same era.
J. Serreau and C. Volpe, Neutrino-antineutrino correlations in dense anisotropic media , Phys. Rev. D 90

Then

L. Johns and Z. Xiong, Collisional instabilities of neutrinos and their interplay with fast flavor conversion in compact objects , Phys. Rev. D 106
Original
2022
Later among the works it cites.
H. Nagakura and M. Zaizen, Time-Dependent and Quasisteady Features of Fast Neutrino-Flavor Conversion , Phys. Rev. Lett. 129
Original
2022
Later among the works it cites.
D.F.G. Fiorillo and G.G. Raffelt, Slow and fast collective neutrino oscillations: Invariants and reciprocity , Phys. Rev. D 107
Original
2023
Later among the works it cites.
D.F.G. Fiorillo and G.G. Raffelt, Flavor solitons in dense neutrino gases , Phys. Rev. D 107
Original
2023
Later among the works it cites.
L. Johns, Collisional Flavor Instabilities of Supernova Neutrinos , Phys. Rev. Lett. 130

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2014

Cited alongside, same era.

A. Kartavtsev, G. Raffelt and H. Vogel, Neutrino propagation in media: Flavor, helicity, and pair correlations , Phys. Rev. D 91

Original

2015

Cited alongside, same era.

I. Izaguirre, G. Raffelt and I. Tamborra, Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach , Phys. Rev. Lett. 118

Original

2017

Cited alongside, same era.

K.S. Thorne and R.D. Blandford, Modern classical physics: optics, fluids, plasmas, elasticity, relativity, and statistical physics , Princeton University Press (2017)

2017

Cited alongside, same era.

F. Capozzi, B. Dasgupta, E. Lisi, A. Marrone and A. Mirizzi, Fast flavor conversions of supernova neutrinos: Classifying instabilities via dispersion relations , Phys. Rev. D 96

Original

2017

Cited alongside, same era.

S. Airen, F. Capozzi, S. Chakraborty, B. Dasgupta, G. Raffelt and T. Stirner, Normal-mode Analysis for Collective Neutrino Oscillations , JCAP 12

Original

2018

Cited alongside, same era.

G.G. Raffelt, N-mode coherence in collective neutrino oscillations , Phys. Rev. D 83

Original

2021

Cited alongside, same era.

T. Morinaga, Fast neutrino flavor instability and neutrino flavor lepton number crossings , Phys. Rev. D 105

Original

2022

Cited alongside, same era.

Original

2023