Time evolution of Σ_d(t) in the two-dimensional plane. We set m = 0.1, ℳ_hw = 0.03, St = 10⁻³, and α_diff = 10⁻⁵. These images were generated based on the results of 1D calculations assuming an axisymmetric dust distribution, neglecting disk curvature. The axes are normalized by the planet location, r_p, calculated by X = Y = (r − r_p)/h_p, where r is the radial coordinate centered at the star and h_p is the disk aspect ratio at r = r_p. We set h_p = 0.05.