Transport properties from Charm to Bottom: p_T suppression, anisotropic flow ν_n and their correlations to the bulk dynamics

We study the propagation of heavy quarks (HQs) in the quark-gluon plasma (QGP) by means of a relativistic Boltzmann transport (RBT) approach. The non-perturbative interaction between heavy quarks and light quarks is described by means of a quasi-particle approach able to describe simultaneously the experimental data for the nuclear suppression factor R_AA and the elliptic flow ${\nu }_2\left(p_T\right)$ of D mesons from RHIC to LHC energies. In the same framework we predict the B meson nuclear modification factor at LHC. Finally, we discuss the relevance of initial state fluctuations that allows to extend the analysis to high order anisotropic flows ${\nu }_n\left(p_T\right)$ as well as to investigate the role of QCD interaction in developing correlations between the light and the heavy flavour anisotropic flows.