Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble
Emergence of a periodically rotating one-point cluster in a thermodynamic Cucker-Smale ensemble
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DOI：
10.1090/qam/1602
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发表时间：
2021-10
影响因子：
0.8
通讯作者：
H. Cho;Linglong Du;Seung‐Yeal Ha
中科院分区：
文献类型：
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作者：
H. Cho;Linglong Du;Seung‐Yeal Ha
研究了热机械Cucker-Smale系综在简谐势场中的涌现行为。在没有外力场的情况下，TCS粒子的涌现动力学在初始构型、系统参数和网络拓扑等不同的框架下得到了广泛的研究.此外，TCS模型在没有外力场的情况下不表现出旋转运动。在本文中，我们使用基本能量估计和连续性论证证明了在谐振势场中TCS模型周期旋转单点团簇的出现。我们还提供了几个数值模拟，并与分析结果进行比较。
We study emergent behaviors of thermomechanical Cucker-Smale (TCS) ensemble confined in a harmonic potential field. In the absence of external force field, emergent dynamics of TCS particles has been extensively studied recently under various frameworks formulated in terms of initial configuration, system parameters and network topologies. Moreover, the TCS model does not exhibit rotating motions in the absence of an external force field. In this paper, we show the emergence of periodically rotating one-point cluster for the TCS model in a harmonic potential field using elementary energy estimates and continuity argument. We also provide several numerical simulations and compare them with analytical results.