Anisotropic flows and the shear viscosity of the QGP within an event-by-event massive parton transport approach

We have developed an event-by-event relativistic kinetic transport approach to study the build up of the anisotropic flows \(v_{n}(p_T)\) for a system at fixed \(\eta /s(T)\). The partonic approach describe the evolution of massless partons which imply \(\epsilon =3p\) as Equation of State (EoS). We extend previous studies to finite partonic masses tuned to simulate a system that expand with an EoS close to the recent lQCD results. We study the role of EoS and the effect of \(\eta /s(T)\) ratio on the build up of \(v_n(p_T)\) up to \(n=5\) for two beam energies: RHIC energies at \(\sqrt{s}=200\) GeV and LHC energies at \(\sqrt{s}=2.76\) TeV. We find that for the two beam energies considered the suppression of the \(v_n(p_T)\) due to the viscosity of the medium have different contributions coming from the cross over or QGP phase. We shows that in ultra-central collisions (0–0.2%) the \(v_n(p_T)\) have a stronger sensitivity to the T dependence of \(\eta /s\) that increases with the order of the harmonic n. Finally, we discuss the results for the integrated flow harmonics \(\langle v_{n} \rangle \) in ultra-central collisions pointing-out how the relative strength of \(\langle v_{n} \rangle \) depend on the colliding energies as well as on the freeze-out dynamics.