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随机相互作用连接在基于Vicsek模型的活性物质顺序过渡中的作用
1Western Sydney University, School of Engineering, Design and Built Environment, Sydney, Australia.
Physical review. E
|August 1, 2025
概括
在活性物质模型中,将随机性作为感知率 (P) 引入,揭示了第一阶段过渡和带形成. 这一因素影响着秩序和网络结构,为群体机器人和社会动态提供了洞察力.
科学领域:
- 物理 物理学 物理
- 复杂的系统复杂的系统.
- 统计力学 统计力学
背景情况:
- 活性物质系统表现出对集体行为至关重要的顺序过渡.
- 随机性在活性物质内对对相互作用中的作用仍然未得到充分探索.
- 像Vicsek模型这样的现有模型往往简化了交互动态.
研究的目的:
- 研究相互作用随机性对活性物质顺序过渡的影响.
- 介绍和分析"感知率" (P) 作为相互作用概率的衡量标准.
- 在Vicsek模型中将相互作用连接模型作为叠加状态.
主要方法:
- 将感知率 (P) 纳入Vicsek模型.
- 建模互动连接作为叠加状态.
- 对顺序参数,相位过渡和网络结构的分析.
主要成果:
- 增加感知速率 (P) 诱导了一个顺序过渡和随后的极点顺序的和.
- 顺序过渡是第一阶段过渡,其特点是带形成.
- 序号的变化与局部和全球交互结构的变化相关,分析为一个网络.
结论:
- 随机相互作用,用感知速率 (P) 量化,是活性物质动态的一个重要因素.
- 该模型证明了对随机边缘移除的稳定性,类似于减少P.
- 结果表明,在设计机器人群的协调行为和理解社会动态方面,有潜在的应用.
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