在一群群群的多重分子上进行相位过渡
Steve J Kongni1, Venceslas Nguefoue1, Thierry Njougouo2
1Research Unit Condensed Matter, Electronics and Signal Processing, University of Dschang, P. O. Box 67 Dschang, Cameroon and MoCLiS Research Group, Dschang, Cameroon.
Physical review. E
|October 18, 2023
概括
双向合的群群器表现出基于视野范围和合强度的独特同步模式. 研究人员确定了层间静态同步,并分析了动态变化期间的复杂相位过渡.
科学领域:
- 复杂的系统复杂的系统.
- 非线性动力学是一种非线性动力学.
- 统计物理 统计物理
背景情况:
- 集群器,混合系统结合了群体和振荡器的元素,对于理解新兴的集体行为至关重要.
- 双向合引入了复杂的相互作用,可以导致各种同步现象.
- 研究吸引力和排斥力之间的相互作用是预测系统动态的关键.
研究的目的:
- 分析在不同吸引力和排斥力合强度下双向合的群体器的动态.
- 研究视野范围 (r_c) 对层间连接和新出现模式的影响.
- 描述Swarmalator系统中的相位转换和同步机制.
主要方法:
- 用有吸引力 (σ_a) 和排斥力 (σ_r) 的合器对群群器动态的理论分析.
- 视野范围 (r_c) 的系统变化,以观察其对连接和模式的影响.
- 数字模拟和可视化 (动画) 支持分析结果和观察过渡.
主要成果:
- 确定并证明了层间静态同步 (π) 的稳定性.
- 观察到小排斥合 (σ_r) 或大视距 (r_c) 的第一阶过渡.
- 对 σ_r=0 和小 r_c 进行两步二次过渡的特征,涉及内部相中的能量下降和旋转波.
结论:
- 视野范围 (r_c) 在很大程度上决定了集群器系统中的层间连接和新出现的模式.
- 观察到复杂的相位过渡,包括一级和二级,并严重依赖于合参数和视野范围.
- 这项研究揭示了复杂的动态,包括旋转波,导致同步,提供了对合振荡器系统集体行为的洞察.
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