论文标题
多次流动波动的傅立叶构造分析
A Fourier-Cumulant Analysis for Multiharmonic Flow Fluctuation
论文作者
论文摘要
对最终粒子分布的傅立叶分析，然后对缩进的缩进系数划分的事件波动是测试重离子碰撞中集体进化的主要方法之一。使用多维生成函数，我们提出了一种方法，以提取任何可能的累积流动流动波动，并根据累积和谐波的顺序对它们进行分类。特别是，我们表明有33个不同的累积物和订单$ 2,3,4,5 $和谐波$ 2,3,4,5 $。我们基于{\ tt t $ _ \ text {r} $ ento}+{\ tt vish2+1}+{\ tt urqmd}，根据{\ tt t $ _ \ text {r} $ {\ tt tt urqmd}计算了这些累积物的归一化版本。我们将模拟与LHC测量并预测未测量的累积累积物进行比较。比较初始和最终状态波动归一化累积物，我们计算了线性和非线性流体动力响应耦合。我们最终介绍了包含所有三阶累积物信息的真实三粒子相关函数。
The Fourier analysis of the final particle distribution followed by cumulant study of the Fourier coefficient event-by-event fluctuation is one of the main approaches for testing the collective evolution in the heavy-ion collision. Using a multidimensional generating function, we propose a method to extract any possible cumulant of multiharmonic flow fluctuations and classify them in terms of the order of cumulants and harmonics involved in them. In particular, we show that there are 33 distinct cumulants with orders $2,3,4,5$ and harmonics $2,3,4,5$. We compute the normalized version of these cumulants from hydrodynamic simulation for Pb--Pb collisions based on {\tt T$_\text{R}$ENTo}+{\tt VISH2+1}+{\tt UrQMD}. We compare the simulation with those normalized cumulants that the LHC has measured and predict the unmeasured ones. Comparing the initial and final state fluctuation normalized cumulants, we compute the linear and nonlinear hydrodynamic response couplings. We finally introduce the genuine three-particle correlation function containing information of all third-order cumulants.
