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The Compressed Baryonic Matter (CBM) experiment at the Facility forAnti-proton and Ion Research (FAIR) will provide new possibilities forcharm-quark ($D$-meson) observables in heavy-ion collisions at low collisionenergies and high baryon densities. To predict the collective flow and nuclearmodification factors of charm quarks in this environment, we apply a Langevinapproach for the transport of charm quarks in the UrQMD (hydrodynamics +Boltzmann) hybrid model. Due to the inclusion of event-by-event fluctuationsand a full (3+1) dimensional hydrodynamical evolution, the UrQMD hybridapproach provides a realistic evolution of the matter produced in heavy-ioncollisions.  As drag and diffusion coefficients we use a resonance approach for elasticheavy-quark scattering and assume a decoupling temperature of the charm quarksfrom the hot medium of $130\, \MeV$. Hadronization of the charm quarks to$D$-mesons by coalescence is included. Since the initial charm-quarkdistribution at FAIR is unknown, we utilize two different initial charm-quarkdistributions in our approach to estimate the uncertainty of these predictions.We present calculations of the nuclear modification factor, $R_{AA}$, as wellas for the elliptic flow, $v_2$, in Pb+Pb collisions at$E_{lab}=25\,\text{AGeV}$. The different medium modifications of $D$-mesons and$\bar{D}$-mesons at high baryon-chemical potential are explored by modifieddrag- and diffusion-coefficients using the corresponding fugacity factor. Herewe find a considerably larger medium modification for $\bar{\mathrm{D}}$- thanfor $D$-mesons.

Elliptic flow and nuclear modification factors of D-mesons at FAIR in a Hybrid-Langevin approach