合不对称性在完全无序的库拉莫托模型中的作用
1Carl von Ossietzky University Oldenburg, D26111 Oldenburg, Germany.
Physical review. E
|February 7, 2025
概括
我们研究了Kuramoto模型中的相振荡器动态与不对称的合. 小的不对称性保留了火山的过渡,但大的反对称性破坏了它,影响了系统相关性和顺序参数分布.
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.
- 统计物理学的统计物理.
背景情况:
- 库拉莫托模型是研究合振荡器系统同步的标准框架.
- 了解合不对称性的影响对于现实应用至关重要.
研究的目的:
- 为了研究Kuramoto模型中的相振荡器与不对称合的动态.
- 分析合不对称对系统属性的影响,如相关性和响应函数.
主要方法:
- 平均场动态的缩小到一个随机单振荡器问题.
- 使用了扰动性分析和数值模拟.
- 检查相关性和响应函数和顺序参数分布.
主要成果:
- 火山的过渡是强大的对小度的合不对称.
- 合中的显著反对称导致火山过渡的消失.
- 合不对称性会影响相关性和响应函数.
结论:
- 合不对称性在库拉莫托模型的集体动态中发挥着关键作用.
- 火山过渡的强度取决于合中对称与反对称之间的平衡.
- 进一步的研究可以探索更复杂的不对称性模式.
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