当前位置: X-MOL 学术Chaos Solitons Fractals › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Non-conserving exclusion process with a dynamic obstacle
Chaos, Solitons & Fractals ( IF 7.8 ) Pub Date : 2022-07-29 , DOI: 10.1016/j.chaos.2022.112471
Bipasha Pal , Arvind Kumar Gupta

Motivated by complex transport processes occurring in biological and physical systems, we study a non-conserving totally asymmetric simple exclusion process with a dynamic defect particle. The defect particle may appear or disappear stochastically and slows down the traffic of moving particles while bound to the lattice. We analyze the system in the context of mean-field approach, and investigate the steady state properties which exhibit a rich dynamic behavior. The theoretically obtained density profiles and current fully describe the phase diagram, further allowing to elucidate the effect of various dynamics individually. Depending upon non-conserving kinetics and defect dynamics, phase schema displays at most eighteen phases; in total, the system exhibits twenty-one phases. Several critical values of the kinetic rates that trigger a qualitative change in the phase diagrams are obtained using analytical arguments. The theoretical outcomes are validated through extensive Monte Carlo simulations.



中文翻译:

具有动态障碍的非守恒排除过程

受生物和物理系统中发生的复杂传输过程的启发,我们研究了具有动态缺陷粒子的非守恒完全不对称简单排除过程。缺陷粒子可能随机出现或消失,并在绑定到晶格时减慢移动粒子的流量。我们在平均场方法的背景下分析系统,并研究表现出丰富动态行为的稳态特性。理论上获得的密度分布和电流完全描述了相图,进一步允许单独阐明各种动力学的影响。根据非守恒动力学和缺陷动力学,相图最多显示十八个相;该系统总共展示了二十一个阶段。使用分析参数获得触发相图中质变的动力学速率的几个临界值。理论结果通过广泛的蒙特卡罗模拟得到验证。

更新日期:2022-07-29
down
wechat
bug