陷阱模型框架下零程过程的慢动力学
Slow dynamics of Zero Range Process in the Framework of Traps Model
摘要：
零程过程的弛豫动力学一直是人们感兴趣的问题。本文建立了零电位与陷阱模型之间的联系，并在陷阱模型的框架下研究了零电位的慢动力学。通过对平均静止时间、粒子分布、两次关联函数和平均逃逸时间等统计量的分析，我们发现粒子间的相互作用，特别是由此产生的凝聚，对动力学有着重要的影响。在定态条件下，解析地得到了平均静止时间和平均逃逸时间。在瞬态中，老化动力学的层次性质揭示了模拟和缩放分析。此外，通过比较粒子在瞬态和稳态下的扩散，我们发现ZRP系统越接近稳态，粒子扩散越慢。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
