Neutrino flavor mixing with moments
arXiv:2111.13722 · doi:10.1103/PhysRevD.105.123036
Abstract
The successful transition from core-collapse supernova simulations using classical neutrino transport to simulations using quantum neutrino transport will require the development of methods for calculating neutrino flavor transformations that mitigate the computational expense. One potential approach is the use of angular moments of the neutrino field, which has the added appeal that there already exist simulation codes which make use of moments for classical neutrino transport. Evolution equations for quantum moments based on the quantum kinetic equations can be straightforwardly generalized from the evolution of classical moments based on the Boltzmann equation. We present an efficient implementation of neutrino transformation using quantum angular moments in the free streaming, spherically symmetric bulb model. We compare the results against analytic solutions and the results from more exact multi-angle neutrino flavor evolution calculations. We find that our moment-based methods employing scalar closures predict, with good accuracy, the onset of collective flavor transformations seen in the multi-angle results. However in some situations they overestimate the coherence of neutrinos traveling along different trajectories. More sophisticated quantum closures may improve the agreement between the inexpensive moment-based methods and the multi-angle approach.
arXiv commentAccepted in Physical Review D
References in corpus (79)
- The NumPy array: a structure for efficient numerical computation
- Explosion Mechanisms of Core-Collapse Supernovae
- Theory of Core-Collapse Supernovae
- Collective Neutrino Oscillations
- Monte Carlo Study of Supernova Neutrino Spectra Formation
- Protoneutron star evolution and the neutrino driven wind in general relativistic neutrino radiation hydrodynamics simulations
- Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
- Perspectives on Core-Collapse Supernova Theory
- Explosion Mechanism, Neutrino Burst, and Gravitational Wave in Core-Collapse Supernovae
- Three-dimensional core-collapse supernova simulated using a 15 progenitor
- Collective Neutrino Flavor Transformation In Supernovae
- The Overarching Framework of Core-Collapse Supernova Explosions as Revealed by 3D Fornax Simulations
- Speed-up of neutrino transformations in a supernova environment
- Supernova Simulations from a 3D Progenitor Model -- Impact of Perturbations and Evolution of Explosion Properties
- Multiple Spectral Splits of Supernova Neutrinos
- Exploring Fundamentally Three-dimensional Phenomena in High-fidelity Simulations of Core-collapse Supernovae
- Fast Pairwise Conversion of Supernova Neutrinos: A Dispersion-Relation Approach
- New Developments in Flavor Evolution of a Dense Neutrino Gas
- Coherent Development of Neutrino Flavor in the Supernova Environment
- Neutrino Quantum Kinetics
- Neutrino cloud instabilities just above the neutrino sphere of a supernova
- The explosion mechanism of core-collapse supernovae: progress in supernova theory and experiments
- Global Comparison of Core-Collapse Supernova Simulations in Spherical Symmetry
- Rotation-supported Neutrino-driven Supernova Explosions in Three Dimensions and the Critical Luminosity Condition
- Self-induced neutrino flavor conversion without flavor mixing
- The Progenitor Dependence of Three-Dimensional Core-Collapse Supernovae
- Neutrino oscillations in supernovae: angular moments and fast instabilities
- Neutrino Mass Hierarchy and Stepwise Spectral Swapping of Supernova Neutrino Flavors
- A dynamical collective calculation of supernova neutrino signals
- No collective neutrino flavor conversions during the supernova accretion phase
- Hydrodynamics of embedded planets' first atmospheres - III. The role of radiation transport for super-Earth planets
- Fast flavor conversions of supernova neutrinos: Classifying instabilities via dispersion relations
- Fast Neutrino Flavor Instability in the Neutron-star Convection Layer of Three-dimensional Supernova Models
- Beyond Flux-Limited Diffusion: Parallel Algorithms for Multidimensional Radiation Hydrodynamics
- Fast collective neutrino oscillations inside the neutrino sphere in core-collapse supernovae
- An Algorithm for Radiation Magnetohydrodynamics Based on Solving the Time-dependent Transfer Equation
- A new possibility of the fast neutrino-flavor conversion in the pre-shock region of core-collapse supernova
- Self-induced suppression of collective neutrino oscillations in a supernova
- Equation of state effects in core-collapse supernovae
- Three-Dimensional Core-Collapse Supernova Simulations with Multi-Dimensional Neutrino Transport Compared to the Ray-by-Ray-plus Approximation
- The Role of Collective Neutrino Flavor Oscillations in Core-Collapse Supernova Shock Revival
- Neutrino Quantum Kinetics in Compact Objects
- Core-collapse supernova simulations in one and two dimensions: comparison of codes and approximations
- Neutrino Quantum Kinetic Equations: The Collision Term
- Fast neutrino flavor conversion: roles of dense matter and spectrum crossing
- Generalized Boltzmann formalism for oscillating neutrinos
- Neutrino Quantum Kinetic Equations
- Fast oscillations, collisionless relaxation, and spurious evolution of supernova neutrino flavor
- On Fast Neutrino Flavor Conversion Modes in the Nonlinear Regime
- Neutrino-Driven Convection in Core-Collapse Supernovae: High-Resolution Simulations
- A Detailed Comparison of Multi-Dimensional Boltzmann Neutrino Transport Methods in Core-Collapse Supernovae
- Oscillation Effects and Time Variation of the Supernova Neutrino Signal
- Simulations of Fast Neutrino Flavor Conversions with Interactions in Inhomogeneous Media
- Analytic Closures for M1 Neutrino Transport
- Fast neutrino flavor conversions in one-dimensional core-collapse supernova models with and without muon creation
- Fast Neutrino Flavor Conversion as Oscillations in a Quartic Potential
- Equation of State and Progenitor Dependence of Stellar-Mass Black-Hole Formation
- Effects of LESA in Three-Dimensional Supernova Simulations with Multi-Dimensional and Ray-by-Ray-plus Neutrino Transport
- Collective neutrino oscillations in non-spherical geometry
- On the Occurrence of Crossings Between the Angular Distributions of Electron Neutrinos and Antineutrinos in the Supernova Core
- Damping the neutrino flavor pendulum by breaking homogeneity
- Long-term Simulations of Multi-Dimensional Core-collapse Supernovae: Implications for Neutron Star Kicks
- A New Algorithm for 2-D Transport for Astrophysical Simulations: I. General Formulation and Tests for the 1-D Spherical Case
- Fast flavor instabilities and the search for neutrino angular crossings
- Simulating nonlinear neutrino flavor evolution
- Spurious instabilities in multiangle simulations of collective flavor conversion
- Nonstandard Neutrino Interactions in Supernovae
- Instability in the dense supernova neutrino gas with flavor-dependent angular distributions
- Simulations of the Early Post-Bounce Phase of Core-Collapse Supernovae in Three-Dimensional Space with Full Boltzmann Neutrino Transport
- Constructing angular distributions of neutrinos in core collapse supernova from zero-th and first moments calibrated by full Boltzmann neutrino transport
- PUSHing core-collapse supernovae to explosions in spherical symmetry V: Equation of state dependency of explosion properties, nucleosynthesis yields, and compact remnants
- Coupling Neutrino Oscillations and Simulations of Core-Collapse Supernovae
- Transport Equations for Oscillating Neutrinos
- A two-moment radiation hydrodynamics scheme applicable to simulations of planet formation in circumstellar disks
- Turbulence Fingerprint on Collective Oscillations of Supernova Neutrinos
- A high-performance and portable asymptotic preserving radiation hydrodynamics code with the M1 model
- Multipole expansion method for supernova neutrino oscillations
- Stimulated Neutrino Transformation Through Turbulence
- Numerical and Physical Stability of Supernova Neutrino Flavor Evolution
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- Neutrino Flavor Conversions in High-Density Astrophysical and Cosmological Environments
- Neutrino Oscillations in Core-Collapse Supernovae and Neutron Star Mergers
- Neutrino fast flavor oscillations with moments: linear stability analysis and application to neutron star mergers
- Two-Moment Neutrino Flavor Transformation with applications to the Fast Flavor Instability in Neutron Star Mergers
- Subgrid modeling of neutrino oscillations in astrophysics
- Quantum Closures for Neutrino Moment Transport
- Predicting the outcome of collisional neutrino flavor conversion
- Quantum maximum entropy closure for small flavor coherence
- Advection Algorithms for Quantum Neutrino Moment Transport
- Impact of Neutrino Flavor Conversions on Neutron Star Merger Dynamics, Ejecta, Nucleosynthesis, and Multi-Messenger Signals
- Neutrino flavor instabilities in neutron star mergers with moment transport: Slow, fast, and collisional modes