This paper quantitatively discusses the effect of positive nuclear track potentials on the motion of secondary electrons due to heavy ion irradiation using a simulation model. This model reproduces the tendency of measurement of the number of secondary electrons. Using this model, physical phenomena closer to reality than the conventional models can be treated. Here, the track potential is defined as a potential formed from the electric field near the track of this heavy ion. This effect is expected to be given as functions of not only the mean paths between incident ion impact ionization events (τ) but also average initial secondary electron energies. The results of our simulations indicate that the effect of the track potential is mainly determined by τ.