附加和切片过程中的有限尺寸效应
R R Dyachenko1,2, S A Matveev1,2, P L Krapivsky3,4
1Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, 119991, Russia.
Physical review. E
|November 18, 2023
概括
这项研究探讨了通过单体碰撞的集群进化. 根据单体是否附着或脱离,系统会堵塞,达到半静止状态,或形成一个独特的非广泛的堵塞状态.
科学领域:
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
- 统计力学 统计力学
背景情况:
- 调查集群动态和阶段过渡.
- 专注于具有单体 - 集群碰撞的系统.
研究的目的:
- 在竞争的加法和切片过程下分析集群演变.
- 根据过程概率来描述系统行为和最终状态.
主要方法:
- 对集群系统的分析调查.
- 演变集群的数值模拟.
主要成果:
- 添加-主导:单体随着质量 (N) 的对数消失,导致一个堵塞状态.
- 芯片占主导地位:在巨大的波动导致单体消失之前,系统在时间上呈指数级缩放.
- 边际情况:单体与N线性消失,形成一个不广泛的堵塞超级星团.
结论:
- 单体添加和切片之间的平衡决定了系统的演变和最终状态.
- 在集群聚合系统中识别不同的动态模式和独特的卡塞状态.
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