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 vn(pT) for a system at fixed η/ s(T). The partonic approach describe the evolution of massless partons which imply ϵ= 3 p 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 η/ s(T) ratio on the build up of vn(pT) up to n= 5 for two beam energies: RHIC energies at s=200 GeV and LHC energies at s=2.76 TeV. We find that for the two beam energies considered the suppression of the vn(pT) 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 vn(pT) have a stronger sensitivity to the T dependence of η/ s that increases with the order of the harmonic n. Finally, we discuss the results for the integrated flow harmonics ⟨ vn⟩ in ultra-central collisions pointing-out how the relative strength of ⟨ vn⟩ depend on the colliding energies as well as on the freeze-out dynamics.