Two-dimensional temperature map of the disk after 300 kyr of evolution, showing the methanol iceline at t = 0 (dashed blue line) and at t = 300 kyr (solid blue line). The white curve represents the average trajectory of 500 simulated particles. To provide a clearer illustration of individual particle behavior, the insets on the right display the trajectory of a single particle within the disk. The panels illustrate the trajectories of particles with sizes of 1 cm, 100 µm, and 1 µm, released at disk temperatures of 20 K (panels a, b, and c) and 80 K (panels d, e, and f). Initial and final positions are marked by a green triangle and a green cross, respectively.