守恒定律与各态历经性对中微子味不稳定性的影响
Implications of conservation laws and ergodicity for neutrino flavor instability
AI总结：
本工作基于守恒定律与各态历经假说，证明了谱交叉是集体中微子味不稳定性的必要且充分条件，并探讨了味热化与能量守恒。
摘要：
集体中微子味不稳定性被认为在核坍缩超新星和中子星合并中普遍存在。本工作确立了与不稳定性相关的两点，均旨在更深入地理解集体味动力学。首先，与轻子数相关的守恒定律意味着谱交叉是不稳定性的必要条件。其次，将各态历经假说最宽松地应用于中微子味演化意味着谱交叉实际上是不稳定性的充分条件。我们还讨论了与各态历经性相关的味热化和能量守恒。
英文摘要：
Collective neutrino flavor instabilities are believed to be prevalent in core-collapse supernovae and neutron star mergers. This work establishes two points related to instability, both in the spirit of developing a more fundamental understanding of collective flavor dynamics. First, a conservation law related to lepton number implies that spectral crossings are necessary for instability. Second, the most permissive application of the ergodic hypothesis to neutrino flavor evolution implies that spectral crossings are in fact sufficient for instability. We also discuss flavor thermalization and energy conservation in relation to ergodicity.
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