Higher-order anisotropic flow correlations in Xe-Xe collisions at $\mathrm{\sqrt{s_{NN}}= 5.44 TeV}$

Abstract

By employing the Monte Carlo HYDJET++ model (HYDrodynamics plus JETs), we produce anisotropic harmonic flow coefficients $v_n$ ($n = 4$-$7$) in deformed Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44~\mathrm{TeV}$. These harmonics are measured with respect to a plane constructed using the lower-order Fourier harmonics $v_2$ and $v_3$, produced using the reaction plane method. The cross-talk between elliptic and triangular flows in the model generates both even and odd higher-order harmonics. By combining analyses of higher harmonics with those of $v_2$ and $v_3$, one can eliminate uncertainties in modeling anisotropic flow from initial conditions and define quantities that involve only nonlinear hydrodynamic response coefficients. In this context, we study the individual response of higher-order flow coefficients to the lower-order ones through a power-law scaling technique of the form $v_n / v_m^m$, as a function of collision centrality. We report that the higher-order flow coefficients $v_n$ ($n = 4$-$7$) exhibit strong centrality dependence and are significantly correlated with the elliptic and triangular flow. The results are compared with data from recent ALICE, ATLAS, and CMS experiments at the LHC.