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

The elliptic flow ($v_{2}$) event-by-event fluctuations in PbPb collisions at 5.02~TeV are analyzed within the HYDJET++ model. Using the multi-particle, so called 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 ($\gamma^{exp}_{1}$) 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 $v_{2}\{4\} - v_{2}\{6\}$ distribution 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 by CMS. A good qualitative and rather good quantitative agreement is found.