Initial State fluctuations from midperipheral to ultracentral collisions in a transport approach

We study the build up of the anisotropic flows vnfor a fluid at fixed η/s(T) by means of an event-by-event transport approach. Usually in the partonic approach are used massless partons implying a ϵ = 3p Equation of State (EoS). In this paper we extend previous studies to finite partonic masses tuned to simulate a fluid with an EoS close to the recent lQCD results. In particular we study the role of the equation of state and the effect of the η/s ratio and its T dependence on the build up of the vn(pT) for Au+Au collisions at and for Pb + Pb collisions at . We find that the sensitivity to the EoS of the vn(pT) increase with the order of the harmonics n. In particular we find a mass ordering for the elliptic flow at low pT. We find that for the two different 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 depending on the collision energies. The study reveals that in ultra-central collisions (0 - 0.2%) the vn(pT) have a stronger sensitivity to the T dependence of η/s in the QGP phase and this sensitivity increases with the order of the harmonic n.