Evolution of the FLMF in the context of the proposed toy accretion model. The black solid line shows the initial power-law FLMF (dN/dlog ) determined by interstellar turbulence. The green, red, and blue solid curves show the model FLMF at three time steps, , , after the accretion process is “switched on” at , where roughly corresponds to the time it takes for a critical filament to double its mass per unit length (∼ 0.5–1 Myr). The median logarithmic slope of the model FLMF for 16 <  M_line <  500 M_⊙ pc⁻¹ is −1, −1.14, −1.30, and −1.50 at , , , and , respectively. The vertical red and blue lines correspond to the line mass accreted by filaments with M_line(0)≈0 at and , respectively.