Fast flavor conversions of supernova neutrinos: Classifying instabilities via dispersion relations

Abstract

Supernova neutrinos can exhibit a rich variety of flavor conversion mechanisms. In particular, they can experience "fast" self-induced flavor conversions almost immediately above the core. Very recently, a novel method has been proposed to investigate these phenomena, in terms of the dispersion relation for the complex frequency and wave number ($\omega$,$k$) of disturbances in the mean field of the ${\nu }_e{\nu }_x$ flavor coherence. We discuss a systematic approach to such instabilities, originally developed in the context of plasma physics, and based of the time-asymptotic behavior of the Green's function of the system. Instabilities are typically seen to emerge for complex $\omega$, and can be further characterized as convective (moving away faster than they spread) and absolute (growing locally), depending on $k$-dependent features. Stable cases emerge when $k$ (but not $\omega$) is complex, leading to disturbances damped in space, or when both $\omega$ and $k$ are real, corresponding to complete stability. The analytical classification of both unstable and stable modes leads not only to qualitative insights about their features but also to quantitative predictions about the growth rates of instabilities. Representative numerical solutions are discussed in a simple two-beam model of interacting neutrinos. As an application, we argue that supernova and binary neutron star mergers exhibiting a "crossing" in the electron lepton number would lead to an absolute instability in the flavor content of the neutrino gas.

arXiv comment(v2, revised version: 25 pages, 15 pdf figures. Minor changes. Figures improved. Matches the version published on PRD)

References in corpus (43)

• Collective Neutrino Oscillations
• Identifying the neutrino mass spectrum from a supernova neutrino burst
• Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
• Self-induced conversion in dense neutrino gases: Pendulum in flavour space
• Speed-up of neutrino transformations in a supernova environment
• Collective neutrino flavor transitions in supernovae and the role of trajectory averaging
• Multiple Spectral Splits of Supernova Neutrinos
• Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach
• Collective neutrino flavor conversion: Recent developments
• Neutrino cloud instabilities just above the neutrino sphere of a supernova
• Self-sustained asymmetry of lepton-number emission: A new phenomenon during the supernova shock-accretion phase in three dimensions
• The multi-angle instability in dense neutrino systems
• Self-induced neutrino flavor conversion without flavor mixing
• Decoherence in supernova neutrino transformations suppressed by deleptonization
• Fast neutrino flavor conversions near the supernova core with realistic flavor-dependent angular distributions
• Neutrino signatures of supernova shock and reverse shock propagation
• A dynamical collective calculation of supernova neutrino signals
• Axial symmetry breaking in self-induced flavor conversion of supernova neutrino fluxes
• Fast neutrino conversions: Ubiquitous in compact binary merger remnants
• No collective neutrino flavor conversions during the supernova accretion phase
• Analysis of energy- and time-dependence of supernova shock effects on neutrino crossing probabilities
• Probing supernova shock waves and neutrino flavor transitions in next-generation water-Cherenkov detectors
• Flavor-dependent neutrino angular distribution in core-collapse supernovae
• Analysis of matter suppression in collective neutrino oscillations during the supernova accretion phase
• Generalized Boltzmann formalism for oscillating neutrinos
• Flavor instabilities in the neutrino line model
• Neutrino mass hierarchy and three-flavor spectral splits of supernova neutrinos
• Temporal Instability Enables Neutrino Flavor Conversions Deep Inside Supernovae
• Classical Simulation of Relativistic Quantum Mechanics in Periodic Optical Structures
• Self-induced flavor instabilities of a dense neutrino stream in a two-dimensional model
• Connection between supernova shocks, flavor transformation, and the neutrino signal
• Phase effects in neutrino conversions during a supernova shock wave
• Turbulence effects on supernova neutrinos
• Neutrino flavor instabilities in a time-dependent supernova model
• Neutrino Flavor Evolution Near a Supernova's Core
• Multi-azimuthal-angle effects in self-induced supernova neutrino flavor conversions without axial symmetry
• Damping the neutrino flavor pendulum by breaking homogeneity
• Self-induced flavor conversion of supernova neutrinos on small scales
• Instability in the dense supernova neutrino gas with flavor-dependent angular distributions
• Suppression of the multi-azimuthal-angle instability in dense neutrino gas during supernova accretion phase
• Flavor stability analysis of dense supernova neutrinos with flavor-dependent angular distributions
• Self-induced temporal instability from a neutrino antenna
• Turbulence patterns and neutrino flavor transitions in high-resolution supernova models

Cited by in corpus (91)

• New Developments in Flavor Evolution of a Dense Neutrino Gas
• Neutrino oscillations in supernovae: angular moments and fast instabilities
• Imprints of neutrino-pair flavor conversions on nucleosynthesis in ejecta from neutron-star merger remnants
• On the occurrence of fast neutrino flavor conversions in multidimensional supernova models
• Fast Neutrino Flavor Instability in the Neutron-star Convection Layer of Three-dimensional Supernova Models
• Fast neutrino flavor instability and neutrino flavor lepton number crossings
• Fast collective neutrino oscillations inside the neutrino sphere in core-collapse supernovae
• Fast neutrino flavor conversion, ejecta properties, and nucleosynthesis in newly-formed hypermassive remnants of neutron-star mergers
• Fast Flavor Depolarization of Supernova Neutrinos
• Collisional triggering of fast flavor conversions of supernova neutrinos
• A new possibility of the fast neutrino-flavor conversion in the pre-shock region of core-collapse supernova
• Simulations of core-collapse supernovae in spatial axisymmetry with full Boltzmann neutrino transport
• Fast Neutrino Flavor Conversion Modes in Multidimensional Core-collapse Supernova Models: the Role of the Asymmetric Neutrino Distributions
• Fast-pairwise collective neutrino oscillations associated with asymmetric neutrino emissions in core-collapse supernova
• Linear Analysis of Fast-Pairwise Collective Neutrino Oscillations in Core-Collapse Supernovae based on the Results of Boltzmann Simulations
• Neutrino Quantum Kinetics in Compact Objects
• Dynamic fast flavor oscillation waves in dense neutrino gases
• Fast Neutrino Flavor Conversion in Core-Collapse Supernovae: A Parametric Study in 1D Models
• On the characteristics of fast neutrino flavor instabilities in three-dimensional core-collapse supernova models
• Collisional flavor instabilities of supernova neutrinos
• Collective fast neutrino flavor conversions in a 1D box: Initial condition and long-term evolution
• Fast neutrino flavor conversion: roles of dense matter and spectrum crossing
• A few moments to diagnose fast flavor conversions of supernova neutrinos
• The dispersion relation of the fast neutrino oscillation wave
• Potential Impact of Fast Flavor Oscillations on Neutrino-driven Winds and Their Nucleosynthesis
• On Fast Neutrino Flavor Conversion Modes in the Nonlinear Regime
• Fast flavor conversions in supernovae: the rise of mu-tau neutrinos
• Neutrino Flavor Pendulum Reloaded: The Case of Fast Pairwise Conversion
• Neutrino Flavor Conversions in High-Density Astrophysical and Cosmological Environments
• Simple method for determining asymptotic states of fast neutrino-flavor conversion
• Evolution of collisional neutrino flavor instabilities in spherically symmetric supernova models
• Fast Neutrino Flavor Conversion at Late Time
• Normal-mode Analysis for Collective Neutrino Oscillations
• Simulations of Fast Neutrino Flavor Conversions with Interactions in Inhomogeneous Media
• Collective Neutrino Flavor Instability Requires a Crossing
• Fast neutrino flavor conversions in one-dimensional core-collapse supernova models with and without muon creation
• Code Comparison for Fast Flavor Instability Simulation
• Neutrino Fast Flavor Pendulum. Part 2: Collisional Damping
• Fast Neutrino Flavor Conversion as Oscillations in a Quartic Potential
• Three flavor neutrino conversions in supernovae: Slow $\&$ Fast instabilities
• Searching for Fast Neutrino Flavor Conversion Modes in Core-collapse Supernova Simulations
• On the Occurrence of Crossings Between the Angular Distributions of Electron Neutrinos and Antineutrinos in the Supernova Core
• Neutrino propagation hinders fast pairwise flavor conversions
• Fast Neutrino Flavor Conversion: Collective Motion vs. Decoherence
• Dynamics of fast neutrino flavor conversions with scattering effects: a detailed analysis
• Evaluating Approximate Flavor Instability Metrics in Neutron Star Mergers
• Flavor solitons in dense neutrino gases
• Entanglement and correlations in fast collective neutrino flavor oscillations
• Non-standard neutrino self-interactions in a supernova and fast flavor conversions
• Neutrino Oscillations in Core-Collapse Supernovae and Neutron Star Mergers
• Dispelling a myth on dense neutrino media: fast pairwise conversions depend on energy
• Neutrino fast flavor oscillations with moments: linear stability analysis and application to neutron star mergers
• Fast neutrino flavor conversions in a supernova: Emergence, evolution, and effects
• Constructing angular distributions of neutrinos in core collapse supernova from zero-th and first moments calibrated by full Boltzmann neutrino transport
• Linear stability analysis of collective neutrino oscillations without spurious modes
• Robust measurement of supernova ${\nu }_e$ spectra with future neutrino detectors
• Liouville term for neutrinos: Flavor structure and wave interpretation
• Matter-neutrino resonance in a multi-angle neutrino bulb model
• Flavor isospin waves in one-dimensional axisymmetric neutrino gases
• Supernova fast flavor conversions in 1+1D : Influence of mu-tau neutrinos
• Asymptotic-state prediction for fast flavor transformation in neutron star mergers
• Robust integration of fast flavor conversions in classical neutrino transport
• Fast Flavor Transformations
• Stability of three neutrino flavor conversion in supernovae
• COSE$\nu$: A Collective Oscillation Simulation Engine for Neutrinos
• Applications of Machine Learning to Detecting Fast Neutrino Flavor Instabilities in Core-Collapse Supernova and Neutron Star Merger Models
• Neutrino flavor mixing with moments
• Neutrino flavor transformations in supernovae as a probe for nonstandard neutrino-scalar interactions
• Fast Flavor Oscillations of Astrophysical Neutrinos with $1,2,\dots ,\infty$ Crossings
• Theory of neutrino slow flavor evolution. Part I. Homogeneous medium
• Turbulence Fingerprint on Collective Oscillations of Supernova Neutrinos
• Neutrino many-body correlations
• Supernova neutrino fluxes in HALO-1kT, Super-Kamiokande, and JUNO
• Fast neutrino-flavor swap in high-energy astrophysical environments
• Collective Oscillations of Majorana Neutrinos in Strong Magnetic Fields and Self-induced Flavor Equilibrium
• Neutrino Flavor Transformation in Neutron Star Mergers
• Fast Flavor Pendulum: Instability Condition
• Inference of neutrino flavor evolution through data assimilation and neural differential equations
• Inference offers a metric to constrain dynamical models of neutrino flavor transformation
• Thermodynamics of oscillating neutrinos
• Supernova Neutrinos: flavour conversion mechanisms and new physics scenarios
• Neutrino conversion in a neutrino flux: Towards an effective theory of collective oscillations
• Spatiotemporal linear instability analysis of collective neutrino flavor conversion in 4-dimensional spacetime
• Impact of Neutrino Flavor Conversions on Neutron Star Merger Dynamics, Ejecta, Nucleosynthesis, and Multi-Messenger Signals
• Nonlinear evolution of fast neutrino flavor conversion in the preshock region of core-collapse supernovae
• On probing turbulence in core-collapse supernovae in upcoming neutrino detectors
• Sufficient and Necessary Conditions for Collective Neutrino Instability: Fast, Slow, and Mixed
• Elaborating the Ultimate Fate of Fast Collective Neutrino Flavor Oscillations
• Single-wave solutions of the neutrino fast flavor system. Part II. Weak instabilities and their resonant behavior
• Spatio-temporal linear instability analysis for arbitrary dispersion relations on the Lefschetz thimble in multidimensional spacetime
• Fast Neutrino Conversion in Hydrodynamic Simulations of Neutrino-Cooled Accretion Disks