论文标题
重离子碰撞中谐波流的主成分分析的鲁棒性
Robustness of principal component analysis on harmonic flow in heavy ion collisions
论文作者
论文摘要
主要成分分析（PCA）是一种数学工具，是统计中常用的一种数学工具，最近已用于解释谐波流量$ v_n $的$ p_t $依赖性波动，以重型离子碰撞中的领先和转向流动模式。使用来自AMPT和Hijing模型的模拟数据，我们表明PCA模式不是固定的，而是取决于粒子重量和$ p_t $范围的选择。此外，领先模式的形状受非流相关性的存在影响，而假的转向模式可能是由于非流量相关性与领先流程模式的混合而产生的，其幅度可能比真正的旋转流程模式更大。因此，在现实的模型模拟中，需要进一步阐明/验证PCA模式的含义及其与物理领先和倾斜流模式相关的初始状态偏心率的关系。
The principal component analysis (PCA), a mathematical tool commonly used in statistics, has recently been employed to interpret the $p_T$-dependent fluctuations of harmonic flow $v_n$ in terms of leading and subleading flow modes in heavy ion collisions. Using simulated data from AMPT and HIJING models, we show that the PCA modes are not fixed, but depend on the choice of the particle weight and the $p_T$ range. Furthermore, the shape of the leading mode is affected by the presence of non-flow correlations, and fake subleading mode may arise from the mixing of non-flow correlations with leading flow mode with a magnitude that could be larger than the genuine subleading flow mode. Therefore, the meaning of PCA modes and their relations to physical leading and subleading flow modes associated initial state eccentricities need to be further clarified/validated in realistic model simulations.
