Numerical and Physical Stability of Supernova Neutrino Flavor Evolution

Abstract

This paper examines neutrino flavor evolution outside a supernova neutrinosphere using a one-dimensional model that retains the non-linear nature of neutrino-neutrino interactions as well as some aspects of the full geometry. In some limiting cases analytic results can be obtained that display different behavior from their counterparts in (linear) solar neutrino flavor evolution. For more general cases, numerical solutions require extended numerical algorithms to achieve stable solutions, and these solutions exhibit standard chaotic behavior.

arXiv commentTitle and text revisions, conclusions unchanged

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Cited by in corpus (8)

• Neutrino flavor transformation in the lepton-asymmetric universe
• Strange mechanics of the neutrino flavor pendulum
• Insights into neutrino decoupling gleaned from considerations of the role of electron mass
• Neutrino flavor mixing with moments
• Geometric phases in neutrino oscillations with nonlinear refraction
• Neutrino flavor mixing breaks isotropy in the early universe
• Inference of neutrino flavor evolution through data assimilation and neural differential equations
• Efficient numerical integration of neutrino oscillations in matter