论文标题
Skyrme能量功能的核变形性能的贝叶斯分析
A Bayesian Analysis of Nuclear Deformation Properties with Skyrme Energy Functionals
论文作者
论文摘要
尽管有许多科学和实际应用,但仅基于质子,中子及其相互作用,仍然没有对核裂变过程进行全面的理论描述。目前,最先进的裂变模拟是在核密度功能理论(DFT)中进行的。尽管完全量子力学并植根于核力理论,但DFT仍取决于表征能量功能的十几个参数。在实验数据上校准这些参数会导致不确定性,必须量化应用程序。由于DFT计算的高计算成本,此任务非常具有挑战性。在本文中,我们使用高斯过程来构建DFT模型的模拟器,以量化和传播与描述裂变过程有关的一系列核变形的理论预测的统计不确定性。
In spite of numerous scientific and practical applications, there is still no comprehensive theoretical description of the nuclear fission process based solely on protons, neutrons and their interactions. The most advanced simulations of fission are currently carried out within nuclear density functional theory (DFT). In spite of being fully quantum-mechanical and rooted in the theory of nuclear forces, DFT still depends on a dozen or so parameters characterizing the energy functional. Calibrating these parameters on experimental data results in uncertainties that must be quantified for applications. This task is very challenging because of the high computational cost of DFT calculations for fission. In this paper, we use Gaussian processes to build emulators of DFT models in order to quantify and propagate statistical uncertainties of theoretical predictions for a range of nuclear deformations relevant to describing the fission process.