# Quark Matter 2018

13-19 May 2018
Venice, Italy
Europe/Zurich timezone
The organisers warmly thank all participants for such a lively QM2018! See you in China in 2019!

## Event-by-event cumulants of partonic eccentricity and flow harmonic

15 May 2018, 17:00
2h 40m
First floor and third floor (Palazzo del Casinò)

### First floor and third floor

#### Palazzo del Casinò

Poster Correlations and fluctuations

### Speaker

Mr Long Ma (Fudan University)

### Description

We report a comprehensive study on the initial-state partonic eccentricity fluctuation and final-state anisotropic flow fluctuation in Au + Au collisions at 200 GeV using a multiphase transport model. Event-by-event eccentricity and flow anisotropy are characterized by multi-particle cumulants up to fourth order harmonic. Experimental results of azimuthal anisotropy fluctuation by means of cumulants are well reproduced by our model simulation [1]. Results of initial eccentricity and their fluctuations in terms of second-, fourth- and sixth-order cumulants for different order of harmonics as function of centrality, transverse momentum ($p_{T}$) and pseudorapidity ($\eta$) are presented. The ratio of the eccentricities $\varepsilon\left\{4\right\}/\varepsilon\left\{2\right\}$ and $\varepsilon\left\{6\right\}/\varepsilon\left\{4\right\}$ are shown in comparison with the ratio of the corresponding flow harmonics. The conversion coefficients $v_{n}$/$\varepsilon_{n}$ (n=2,3,4) are explored based on the cumulant method. We show that higher harmonic $v_{n}$/$\varepsilon_{n}$ (n$>=$3) show similar trend but exhibit quantitative difference in comparison with $v_{2}$/$\varepsilon_{2}$ [2]. We investigate further the role of partonic and hadronic scatterings in anisotropic flow and flow fluctuation development. We show that collisions between initial active partons are directly responsible for not only the development of anisotropic flow but also flow fluctuation [3]. Relevant physics on the connections between higher-order cumulant eccentricities and flow harmonics is discussed.

References:
[1] L. Ma , G. L. Ma, and Y. G. Ma, Phys. Rev. C 89, 044907 (2014)
[2] L. Ma , G. L. Ma, and Y. G. Ma, Phys. Rev. C 94, 044915 (2016)
[3] L. Ma , G. L. Ma, and Y. G. Ma, in preparation

Content type Theory Presenter name already specified

### Primary author

Mr Long Ma (Fudan University)

### Co-authors

Guo-Liang Ma (Shanghai INstitute of Applied Physics (SINAP), CAS) Prof. Yu-Gang Ma (Shanghai INstitute of Applied Physics (SINAP), CAS)

### Presentation Materials

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