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We describe the propagation of Heavy quarks (HQs) in the quark-gluon plasma (QGP) within a relativistic Boltzmann transport (RBT) approach. The interaction between heavy quarks and light quarks is described within quasi-particle approach which is able to catch the main features of non-perturbative interaction as the increasing of the interaction in the region of low temperature near  T C  . In our calculations the hadronization of charm quarks in  D  mesons is described by mean of an hybrid model of coalescence plus fragmentation. We show that the coalescence play a key role to get a good description of the experimental data for the nuclear suppression factor  R  AA  and the elliptic flow  υ  2 ( p T  ) at both RHIC and LHC energies. Moreover, we show some recent results on the direct flow  υ  1  and triangular flow  υ  3  of D meson.

Heavy Quark Dynamics toward thermalization: RAA, υ1, υ2, υ3

Heavy Quark Dynamics toward thermalization: R_AA, υ₁, υ₂, υ₃