Top panels, from left to right: snapshots of the relative vorticity perturbation, the temperature and the resistivity in the vicinity of the vortex at the 1208th orbit, in the 3D simulation. The fields mapped on top panels have been vertically averaged. Bottom panels, from left to right: snapshots of the relative vorticity perturbation, the temperature and the viscosity in the vicinity of the vortex at the 2597th orbit, in the 2D simulation. We draw with a black line the iso-contour of temperature T = T_MRI.