  The relaxation dynamics of zero range process (ZRP) has always been an
interesting problem. In this study, we set up the relationship between ZRP and
traps model, and investigate the slow dynamics of ZRP in the framework of traps
model. Through statistical quantities such as the average rest time, the
particle distribution, the two-time correlation function and the average escape
time, we find that the particle interaction, especially the resulted
condensation, can significantly influence the dynamics. In the stationary
state, both the average rest time and the average escape time caused by the
attraction among particles are obtained analytically. In the transient state, a
hierarchical nature of the aging dynamics is revealed by both simulations and
scaling analysis. Moreover, by comparing the particle diffusion in both the
transient state and the stationary state, we find that the closer ZRP systems
approach the stationary state, the more slowly particles diffuse.
