# Skewness of the elliptic flow distribution in $\sqrt{{s}_{NN}}=5.02$ TeV PbPb collisions from the $\mathrm{HYDJET}++$ model

## Abstract

The elliptic flow $$(v_2)$$ event-by-event fluctuations in PbPb collisions at 5.02 TeV are analyzed within the HYDJET + + model. Using the multiparticle, so-called $$\textit{Q}$$-cumulant method, $$v_2$${2}, $$v_2$${4}, $$v_2$${6}, and $$v_2$${8} are calculated and used to study their ratios and to construct skewness $$(γ^{\text{exp}}_1)$$ as a measure of the asymmetry of the elliptic flow distribution. Additionally, in order to check if there is a hydrodynamics nature in the elliptic collectivity generated by the HYDJET + + model, the ratio of $$v_2$${6} – $$v_2$${8} and $$v_2$${4}– $$v_2$${6} distributions is calculated. The analysis is performed as a function of the collision centrality. In order to check the HYDJET + + model responses, the results of this analysis are compared to the corresponding experimental measurements from the ALICE, ATLAS, and CMS experiments. A rather good qualitative agreement is found.

- Authors:

- Publication Date:

- Research Org.:
- Purdue Univ., West Lafayette, IN (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC); Ministry of Education, Science and Technological Development of the Republic of Serbia; National Natural Science Foundation of China (NSFC)

- OSTI Identifier:
- 1604510

- Alternate Identifier(s):
- OSTI ID: 1802479

- Grant/Contract Number:
- SC0012910; 171019; 11847315

- Resource Type:
- Published Article

- Journal Name:
- Physical Review C

- Additional Journal Information:
- Journal Name: Physical Review C Journal Volume: 101 Journal Issue: 3; Journal ID: ISSN 2469-9985

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Physics

## Citation Formats

```
Cirkovic, P., Milosevic, J., Nadderd, L., Wang, F., and Zhu, X. Skewness of the elliptic flow distribution in s N N = 5.02 TeV PbPb collisions from the HYDJET + + model. United States: N. p., 2020.
Web. doi:10.1103/PhysRevC.101.034907.
```

```
Cirkovic, P., Milosevic, J., Nadderd, L., Wang, F., & Zhu, X. Skewness of the elliptic flow distribution in s N N = 5.02 TeV PbPb collisions from the HYDJET + + model. United States. https://doi.org/10.1103/PhysRevC.101.034907
```

```
Cirkovic, P., Milosevic, J., Nadderd, L., Wang, F., and Zhu, X. Thu .
"Skewness of the elliptic flow distribution in s N N = 5.02 TeV PbPb collisions from the HYDJET + + model". United States. https://doi.org/10.1103/PhysRevC.101.034907.
```

```
@article{osti_1604510,
```

title = {Skewness of the elliptic flow distribution in s N N = 5.02 TeV PbPb collisions from the HYDJET + + model},

author = {Cirkovic, P. and Milosevic, J. and Nadderd, L. and Wang, F. and Zhu, X.},

abstractNote = {The elliptic flow $(v_2)$ event-by-event fluctuations in PbPb collisions at 5.02 TeV are analyzed within the HYDJET + + model. Using the multiparticle, so-called $\textit{Q}$-cumulant method, $v_2${2}, $v_2${4}, $v_2${6}, and $v_2${8} are calculated and used to study their ratios and to construct skewness $(γ^{\text{exp}}_1)$ as a measure of the asymmetry of the elliptic flow distribution. Additionally, in order to check if there is a hydrodynamics nature in the elliptic collectivity generated by the HYDJET + + model, the ratio of $v_2${6} – $v_2${8} and $v_2${4}– $v_2${6} distributions is calculated. The analysis is performed as a function of the collision centrality. In order to check the HYDJET + + model responses, the results of this analysis are compared to the corresponding experimental measurements from the ALICE, ATLAS, and CMS experiments. A rather good qualitative agreement is found.},

doi = {10.1103/PhysRevC.101.034907},

journal = {Physical Review C},

number = 3,

volume = 101,

place = {United States},

year = {2020},

month = {3}

}

https://doi.org/10.1103/PhysRevC.101.034907

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