标题： 零速率过程在陷阱模型框架中的慢动态 显示英文标题

标题： Slow dynamics of Zero Range Process in the Framework of Traps Model

摘要： 零范围过程（ZRP）的松弛动力学一直是一个有趣的问题。 在本研究中，我们建立了ZRP与陷阱模型之间的关系，并在陷阱模型的框架下研究了ZRP的缓慢动力学。 通过平均停留时间、粒子分布、两时间关联函数和平均逃逸时间等统计量，我们发现粒子相互作用，尤其是由此产生的凝聚，可以显著影响动力学。 在稳态中，由粒子间吸引力引起的平均停留时间和平均逃逸时间被解析地得到。 在瞬态中，通过模拟和标度分析揭示了老化动力学的分层性质。 此外，通过比较瞬态和稳态中的粒子扩散，我们发现ZRP系统越接近稳态，粒子扩散得越慢。 显示英文摘要

摘要： 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.