Anisotropic flows and shear viscosity of the Quark-Gluon plasma within a transport approach

In this talk we discuss the build up of elliptic flow v2 and high order harmonics v3, v4 and v5 for a fluid at fixed η/s by mean of an event-by-event transport approach. We discuss the effect of the η/s ratio on the build up of the vn(pT ). In particular we study the effect of a temperature dependent η/s for two different beam energies: RHIC for Au+Au at √ s = 200GeV and LHC for Pb + Pb at √ s = 2.76TeV. 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. In ultra-central collisions the vn(pT ) show a strong sensitivity to the η/s ratio in the QGP phase and this sensitivity increase with the increase of the order of the harmonic