Relative perturbation of dust density for a Stokes number St = 0.55 (representative of the gravity-dominated regime), generated by an Earth-mass planet (M_p = 1.5 M_⊕). The solid gray lines show the dust streamlines. All images are shown for a time of t = 50 orbits. It should be noted that when the dust diffusion is not included (upper left panel), the formation of the dust-void behind the planet and the dust filament in front of the planet exhibit the same structure, as reported in Fig. 1 (case c), of Benítez-Llambay & Pessah (2018). However, when dust diffusion increases, the dust-void and filament eventually disappear (see bottom-right panel).