Abstract. In this talk we will discuss the recent advances in describing heavy-quark dynamics in the quark-gluon plasma (QGP), which evolves hydrodynamically. Special emphasis is put on the collective flow of the heavy-quarks with the medium constituents, for which we present our latest results obtained within the MC@sHQ+EPOS2 model at √ s = 5 TeV.
Heavy quarks as probes of the QGP mediumHeavy quarks, especially charm and bottom, have since long been considered valuable probes for properties of the QGP. While the "standard" model of describing the space-time evolution of the bulk medium produced in heavy-ion collisions typically relies on a plasma phase that can be described by hydrodynamics, the heavy-quarks are produced in initial hard scatterings and therefore not equilibrated with the QGP at τ 0 , the initial time of hydrodynamics. For the soft and light sector the typical observables are related to collective phenomena on the hydrodynamical hypersurface, for which the memory of microscopic interactions is lost. For heavy quarks, however, some of this memory is kept and we can thus study their dynamics in order to learn about the underlying QCD force.Since it became possible to produce a significant number of charm and then also bottom quarks at RHIC and the LHC, the theoretical description has produced a variety of models. Although some of them are limited to average energy loss calculations in a medium of average temperature, most approaches follow these general steps in their description:• Initial production: For the initial production one relies on the theoretical results for momentum spectra in proton-proton collisions, like the FONLL [1] formalism. This gives a successful comparison to experimental data for inclusive spectra. For more exclusive spectra, like initial correlations between the produced heavy quark-antiquark pair, one applies event generators, either Pythia [2] or those that couple NLO pQCD matrix elements with parton showers, like POWHEG or MC@NLO [3,4]. For nuclear collisions, it seems appropriate to include additional cold nuclear matter effects, like shadowing of low-momentum production, via sets of nuclear parton distribution functions [5]. One has to keep in mind that these fits come with relatively large uncertainties.• In-medium interaction between heavy-quarks and medium: After the heavy-quark formation time or the equilibration time of the QGP medium, τ 0 , the heavy-quarks start interacting with the medium. Depending on the dynamical evolution equation, see below, the interaction is either described effectively via Fokker-Planck transport coefficients or from scattering cross sections with