能量传输和混乱在一个一维的无序非线性子格子中
Su Ho Cheong1,2, Arnold Ngapasare1, Vassos Achilleos2
1Nonlinear Dynamics and Chaos Group, Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701 Cape Town, South Africa.
Chaos (Woodbury, N.Y.)
|February 23, 2026
概括
我们研究了能量在无序和非线性格中传播. 强烈的障碍关闭带隙,导致混乱的动态和亚扩散扩散,类似于其他非线性无序系统.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 非线性动力学是一种非线性动力学.
- 波浪传播 波浪传播
背景情况:
- 斯图布格子表现出独特的带结构,带有分散和平面带.
- 混乱和非线性显著改变了格子系统中的波传播.
- 了解复杂格子中的能量传输对于新型设备应用至关重要.
研究的目的:
- 在无序和非线性条件下,研究1D格中的能量传播.
- 绘制混乱和非线性参数空间的地图,并确定动态模式.
- 描述斯塔布格子系统中混乱的行为和传播动态.
主要方法:
- 最初局部化的波包的数值模拟.
- 分析参数空间的混乱和非线性.
- 计算规范分布的第二时刻和利亚普诺夫指数.
主要成果:
- 强烈的混乱缩小了间隙,导致了三个动态状态:弱混沌,强混沌和自我陷.
- 在混乱政权中观察到亚扩散扩散 (m2t^0.33和m2t^0.5).
- 由利亚普诺夫指数衰减 (Λt^-0.25和 Λt^-0.3) 标志着混乱的行为.
结论:
- 柱状格子在无序和非线性下表现出丰富的动态,扩展了其他1D无序格子的已知行为.
- 存在小频率差距对在差距关闭点附近的传播影响最小.
- 柱状格子作为一种代表性的平带系统,用于研究非线性无序动力学.
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