Transport Properties of Heavy Quarks and Their Correlations to the Bulk Dynamics and the Initial Electromagnetic Field

We study the propagation of heavy quarks (HQs) in the quark-gluon plasma (QGP) by means of a event-by-event relativistic Boltzmann transport (RBT) approach. We discuss the correlations between light flavor and heavy quarks (HQs) flow harmonics and the relative fluctuations of anisotropic flows \(\sigma _{v_{n}}/\langle v_n \rangle \) Moreover, we investigate the role of QCD interaction in developing these flows correlations. As recently recognized, strong electro-magnetic (E.M.) fields are created in Ultra-relativistic Heavy-Ion Collision (HIC). We show that these fields are responsible for a splitting of directed flow \(v_1\) of D and anti-D mesons. Moreover, we discuss the effect of the initial large bulk vorticity on the build up of rapidity odd HQs directed flow \(v_1\).