Long-term collisional evolution of a dissipative particle disc perturbed by a giant-planet embryo

Recent works have shown that in a disc of planetesimals perturbed by a prot o-Jupiter, the coupling between embryo's perturbations and inelastic collis ions heats up the disc over several astronomical units in a few 10(5) years . Using a simulation of a disc made of hard-spheres suffering inelastic col lisions, we performed long-term numerical integrations to determine if the energy dissipated in collisions may finally damp eccentricities and inclina tions induced by the proto-Jupiter. It is shown that the coupling between m ean-motion resonances and collisions induces different damping regimes as a function of the protoplanet's mass. A 15 M-. proto-Jupiter is more efficie nt than a 300 M-. one to stir the disc over longer timescales, due to the n on-emptying of isolated first order mean-motion resonances.