Top panels: distribution at time t = τ_KH of the errors  | E_i⁰ |  plotted versus y, as defined by Eq. (36), for the KH runs with Mach number M = 1 and different simulation parameters (See Table 2). The red histograms show the mean values of the binned distributions. Bottom panels: each panel shows the nearest neighbor map of the run in the corresponding top panel. This is defined as the distribution, interpolated at the map grid points of the normalized distances , where  is the distance  | x_i − x_k |  of the kth neighbor of the particle i and the neighbors are sorted so that .