Robustness of principal component analysis of harmonic flow in heavy ion collisions

Robustness of principal component analysis of harmonic flow in heavy ion collisions
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重离子碰撞谐波流主成分分析的鲁棒性

DOI:
10.1103/physrevc.102.024911
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发表时间:
2020-02
期刊:
影响因子:
3.1
通讯作者:
Jia Jiangyong
Jia Jiangyong
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Liu Ziming;Behera Arabinda;Song Huichao;Jia Jiangyong

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主成分分析(PCA)是统计学中常用的一种数学工具,它最近被用来解释重离子碰撞中谐波流v n的涨落随p T的变化。使用模拟数据从AMPT和HIJING模型,我们表明,PCA模式不是固定的,但取决于选择的粒子权重和$p_T$范围。此外,非流动相关性的存在会影响前导模式的形状,并且伪子前导模式可能由非流动相关性与前导流动模式的混合产生,其幅度可能大于真正的子前导流动模式。因此,PCA模式的含义及其与初始状态偏心率相关的物理前导和子前导流模式的关系需要在实际模型模拟中进一步澄清/验证。
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.
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影响因子: 3.1
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