Anisotropic collective flows in a kinetic transport theory at fixed η/s(T)

Abstract

In this talk we review the basic concepts related with the study of the dynamics of the heavy quarks in the quark-gluon plasma created in ultra-relativistic heavy-ion collisions. We discuss the relevant physical scale as well the difficulties of the present theoretical approach to have a self-consistent description of the experimental data at both RHIC and LHC. In the second part we challenge the assumption of brownian motion for charm quarks and compare the dynamical evolution of charm and bottom quarks in a Fokker-Planck approach and in a Transport Boltzmann one. We show that while for bottom the motion appears quite close to a Brownian one, this does note seems to be the case for charms quarks. In particular the solution of the full twobody collision integral shows that the anisotropic flows are larger respect to those predicted by a Langevin dynamics.