Shear viscosity of QGP and the anisotropic flows within an event by event transport approach

We have employed a relativistic kinetic transport approach that incorporates initial state fluctuations to study the effect of a temperature dependent shear viscosity to entropy density ratio η/s(T) on the build-up of the anisotropic flows υn(pT). We find that at LHC energies and for ultra-central collisions (0 - 0.2%) the υn(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. Moreover we have studied the correlation between the initial spatial anisotropies n and the final flow coefficients (υn) for different centralities and for the two beam energies. The study shows that at LHC energies there is more correlation than at RHIC energies. In particular at LHC energies and for ultra-central collisions the linear correlation coefficient C(n, υn) 1 for n = 2, 3, 4 and 5 suggesting that the (υn) are strongly related to the initial value of n.