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The Neutrino Fast Flavor Instability in Three Dimensions
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Neutrino flavor instabilities have the potential to shuffle neutrinos between electron, mu, and tau flavor states, modifying the core-collapse supernova mechanism and the heavy elements ejected from neutron star mergers. Analytic methods indicate the presence of so-called fast flavor transformation instabilities, and numerical simulations can be used to probe the nonlinear evolution of the neutrinos. Simulations of the fast flavor instability to date have been performed assuming imposed symmetries. We perform simulations of the fast flavor instability that include all three spatial dimensions and all relevant momentum dimensions in order to probe the validity of these approximations. If the fastest growing mode has a wavenumber along a direction of imposed symmetry, the instability can be suppressed. The late-time equilibrium distribution of flavor, however, seems to be little affected by the number of spatial dimensions. This is a promising hint that the results of lower-dimensionality simulations to date have predictions that are robust against their the number of spatial dimensions, though simulations of a wider variety of neutrino distributions need to be carried out to support this claim more generally.
Forward citations
Cited by 6 Pith papers
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Local-equilibrium theory of neutrino oscillations
The authors generalize neutrino flavor-wave linear analysis to arbitrary mixing-equilibrium backgrounds and propose a kinetic-theory closure for turbulent flavor-wave viscosity.
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Advection Algorithms for Quantum Neutrino Moment Transport
A modulus-phase Riemann solver for quantum neutrino moments gives fast-flavor instability growth rates and wavenumbers closer to multi-angle simulations than the prior real-imaginary implementation.
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Neutrino quantum kinetics for fast flavor conversion in a time-dependent environment
Fast flavor conversion in a time-varying supernova background proceeds through three episodes and broadly agrees with static two-step model results.
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Quasi-steady flavor configuration of multi-energy neutrino ensembles
Semi-analytic formulas for the quasi-steady flavor state of multi-energy neutrinos reproduce numerical kinetic-equation solutions to about 10-15% accuracy in homogeneous periodic boxes.
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Flavor Equilibration of Supernova Neutrinos: Exploring the Dynamics of Slow Modes
Slow flavor conversion drives supernova neutrinos to a coarse-grained flavor-equilibrated state within a few inverse vacuum frequencies, with survival probabilities set by the neutrino-antineutrino density ratio alone.
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Resolution requirements for numerical modeling of neutrino quantum kinetics
A resolution study of neutrino quantum kinetics shows that under-resolving spatial modes suppresses flavor instability growth and leads to wrong asymptotic flavor conversion states.
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