超扩散的自我驱动粒子中的转变
Morteza Nattagh Najafi1, Rafe Md Abu Zayed1, Seyed Amin Nabavizadeh1
1Department of Mechanical Engineering, University of Akron, Akron, OH 44325, USA.
Entropy (Basel, Switzerland)
|May 27, 2023
概括
这项研究介绍了一种超扩散的Vicsek模型,具有Levy飞行,增强混乱和改变相位过渡. 临界指数保持不变,但碎形维度和临界指数随着莱维飞行行为而变化.
科学领域:
- 统计物理 统计物理
- 复杂的系统复杂的系统.
- 非平衡的动力学.
背景情况:
- 维塞克模型是研究自行运动粒子和新兴秩序的基本框架.
- 在复杂的系统中,了解异常扩散对集体行为的影响至关重要.
研究的目的:
- 调查雷维飞行对维塞克模型相变和关键现象的影响.
- 分析异常扩散如何影响顺序参数波动和集群形成.
主要方法:
- 在Vicsek模型中引入指数α的Levy飞行.
- 基于群集集群增长的平均场理论的制定.
- 进行模拟来分析关键指数和分数维度.
主要成果:
- 收费航班增加了顺序参数波动,随着α的增加,有利于混乱阶段.
- 顺序-混乱过渡从第一阶段 (α接近2) 转移到第二阶段 (小α).
- 在某些条件下,临界指数 (β, ν, γ) 和碎形维度保持不变,但随着α的变化而变化.
结论:
- 超扩散的Vicsek模型与Levy飞行表现出丰富的相位过渡行为.
- 该研究将该模型的分数属性与2D波特斯 (Ising) 模型连接起来.
- 异常扩散显著改变了活性物质系统中的关键现象和缩放.
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