透集群上的不对称的简单排除过程:等待时间分布在侧边分支
Chandrashekar Iyer1, Mustansir Barma1, Hunnervir Singh2
1Tata Institute of Fundamental Research, 36/P, Gopanpally, Hyderabad 500046, India.
Physical review letters
|February 6, 2025
概括
我们使用不对称的简单排除过程 (ASEP) 研究了无序介质上的粒子传输. 侧枝的长时间等待会导致动态异质性,颗粒的移动性不同.
科学领域:
- 统计力学 统计力学
- 复杂的系统复杂的系统.
背景情况:
- 非对称的简单排除过程 (ASEP) 模型在无序介质中相互作用的粒子.
- 了解像透集群这样的复杂结构上的粒子动力学至关重要.
研究的目的:
- 在ASEP下调查透集群的侧枝颗粒的等待时间分布.
- 分析偏差场对粒子等待时间和系统动态的影响.
主要方法:
- 准确的等待时间分布在单侧分支的数值评估.
- 将结果扩展到常规的结构和透集群.
- 分析边分支中粒子的稳定状态分数.
主要成果:
- 对于大的偏差场,日志 (等待时间) 分布会呈现多个峰值.
- 在时间T_w尺度上的侧枝中的粒子的分数为exp(-c*sqrt(log T_w)).
- 观察到的长时间尺度并不反映在马尔科夫进化矩阵谱中.
结论:
- 透集群上的ASEP显示了动态异质性.
- 粒子因复杂的等待时间分布而分为高和低流动性的区域.
- 该模型为无序系统中的运输现象提供了洞察力.
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