论文标题
超新星模拟中非弹性中微子核子散射的广义kompaneets形式主义
A Generalized Kompaneets Formalism for Inelastic Neutrino-Nucleon Scattering in Supernova Simulations
论文作者
论文摘要
基于Kompaneet近似，我们开发了一种强大的方法，可以在核心 - 循环超新星模拟的背景下通过非弹性中微子核子散射计算光谱重新分布。所得的方程将Lepton的数量保存到机器精度和线性缩放，而不是二次地缩放，而不是二次的能量组。形式主义还提供了一种优雅的手段，可以得出能量传递速率到达中微子辐射场处于热平衡时自动变为零的物质。此外，我们将ε/MC2校正中的下一个高级阶带推导到中微子kompaneets方程。与其他kompaneets模式不同，我们的架构也概括为各向异性角度分布的情况，同时保留了经典kompaneets方程的保守形式。我们的形式主义使得能够立即纳入遵循中微子辐射场光谱角矩的超新星代码。
Based on the Kompaneets approximation, we develop a robust methodology to calculate spectral redistribution via inelastic neutrino-nucleon scattering in the context of core-collapse supernova simulations. The resulting equations conserve lepton number to machine precision and scale linearly, not quadratically, with number of energy groups. The formalism also provides an elegant means to derive the rate of energy transfer to matter which, as it must, automatically goes to zero when the neutrino radiation field is in thermal equilibrium. Furthermore, we derive the next-higher-order in ε/mc2 correction to the neutrino Kompaneets equation. Unlike other Kompaneets schema, ours also generalizes to the case of anisotropic angular distributions, while retaining the conservative form that is a hallmark of the classical Kompaneets equation. Our formalism enables immediate incorporation into supernova codes that follow the spectral angular moments of the neutrino radiation fields.
