Simulations of guiding of low-energy ions through a single nanocapillary in insulating polymers are reported.The nanocapillary has a diameter of 100 nm and a length of 10 μm.Different from previous work,in our simulations a hyperbolic function is used to describe the decay of the charges deposited on the capillary surface.The present simulations reproduce the self-organized charge-up process occurring in the capillary.It is shown that lower-energy ions undergo more oscillations to get guiding equilibrium than those of higher-energy ions,resulting in a longer charging time,which is in good agreement with previous experimental results.Moreover,the experimentally observed mass independence of ion guiding is proved in our simulations.In particular,it is found that the maximum of the repulsive field within the capillary is independent of the ion energy as well as the tilt angle.To counterbalance the increasing of the transversal energy caused by increasing the tilt angle or incident energy,the effective length of the repulsive field is expanded in a self-organizing manner.