Speaker
Description
Relativistic heavy-ion collisions offer a unique opportunity to explore the collective dynamics of strongly interacting matter produced under extreme conditions. The momentum-space distribution of particles in the final state carries information about the initial collision geometry, subsequent hydrodynamic evolution, and freeze-out dynamics. In this work, we study the transverse-momentum dependence of elliptic flow $v_2(p_T)$, triangular flow $v_3(p_T)$, and the mean transverse momentum $\langle p_T \rangle$ in Au--Au collisions at $\sqrt{s_{\mathrm{NN}}} = 200\text{ GeV}$.
The initial energy-density profiles are constructed using a Monte Carlo Glauber model and subsequently evolved using relativistic hydrodynamics. At freeze-out, hadrons are sampled according to the Cooper--Frye prescription, followed by hadronic rescattering and resonance decays within a hadronic transport model. Event-by-event simulations with fluctuating initial conditions are performed for the 0-10% centrality class at mid-rapidity. The resulting $v_2(p_T)$ for pions and $v_3(p_T)$ for charged hadrons exhibit good agreement with available STAR measurements, highlighting the significant influence of initial-state fluctuations on the development of final-state anisotropic flow. We further explore the relationship between anisotropic flow and radial expansion by studying event-by-event correlations among $v_2$, $v_3$, and $\langle p_T \rangle$. These correlations are quantified using the Pearson correlation coefficient, allowing us to examine how fluctuations in the initial-state geometry and transverse size are translated into measurable momentum-space observables. A systematic investigation of these correlations as a function of charged-particle multiplicity and initial-state geometry can provide deeper insight into the connection between the initial conditions and collective observables in relativistic heavy-ion collisions.