A fluid-dynamic approach to heavy-quark diffusion in the quark-gluon plasma

Exploiting a mapping between transport theory and fluid-dynamics, we show how a fluid-dynamic description of the diffusion of charm quarks in the QCD plasma is feasible. We show results for spectra of charmed hadrons obtained with a fluid-dynamic framework (FluiduM) coupled with the conservation of a heavy-quark - antiquark current in the quark-gluon plasma (QGP). We compare our calculations with the most recent experimental data in order to provide further constraints on the transport coefficients of the QGP.