Distribution of the final asteroid energy and minimum distance to the WD during the entire simulation. The system parameters selected for this simulation are the benchmark parameters of WD1856+534b system given in Table 1. The red dots in the figure represent the initial state of asteroids. The black dots represent the final state of each asteroid group at the end of the simulation; the color of the region in which they land denotes their ultimate fate. The inverted black triangles indicate those that collided with planets.