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arXiv 2103.07444cond-mat.soft
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自推进粒子模型中的相和均匀有序态

Phases and homogeneous ordered states in alignment-based self-propelled particle models

Yinong Zhao, Thomas Ihle, Zhangang Han, Cristián Huepe, Pawel Romanczuk

摘要:

我们研究了一组模型的自推进粒子,实现集体运动,通过类似的排斥为基础的动力学,考虑版本和不排斥的相互作用,不影响航向。我们探索他们的相空间内的两个无量纲参数(耦合强度和Peclet数)的值的范围很广,其极化和聚类程度的特点。由此产生的相图显示等效的,类似的分布区域的所有模型与排斥。没有排斥的图表现出差异,特别是对于高耦合强度。我们比较了所有地区的边界和代表性国家,确定了以前没有被描述过的各种制度。我们详细分析了三种类型的均匀极化状态,通过计算它们的速度和密度相关性,巨数波动,和本地的顺序密度耦合,将它们与现有的理论和数值结果进行比较。我们发现,他们都偏离以这样或那样的理论预测,这些差异归因于剩余的不均匀性或有限尺寸的影响。我们讨论了我们的结果在每个模型的通用或特定的功能,其热力学极限,以及高混合和低混合制度。我们的研究提供了一个广泛的,总体的角度来看,在基于自推进粒子模型的多个阶段和状态。

英文摘要:

We study a set of models of self-propelled particles that achieve collective motion through similar alignment-based dynamics, considering versions with and without repulsive interactions that do not affect the heading directions. We explore their phase space within a broad range of values of two nondimensional parameters (coupling strength and Peclet number), characterizing their polarization and degree of clustering. The resulting phase diagrams display equivalent, similarly distributed regions for all models with repulsion. The diagrams without repulsion exhibit differences, in particular for high coupling strengths. We compare the boundaries and representative states of all regions, identifying various regimes that had not been previously characterized. We analyze in detail three types of homogeneous polarized states, comparing them to existing theoretical and numerical results by computing their velocity and density correlations, giant number fluctuations, and local order-density coupling. We find that they all deviate in one way or another from the theoretical predictions, attributing these differences either to the remaining inhomogeneities or to finite-size effects. We discuss our results in terms of the universal or specific features of each model, their thermodynamic limit, and the high mixing and low mixing regimes. Our study provides a broad, overarching perspective on the multiple phases and states found in alignment-based self-propelled particle models.

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