在周期驱动的克莱恩-戈登链中观察多个吸引子和扩散运输
Umesh Kumar1, Seemant Mishra2, Anupam Kundu1
1<a href="https://ror.org/0015qa126">International Centre for Theoretical Sciences</a>, Tata Institute of Fundamental Research, Bengaluru 560089, India.
Physical review. E
|July 18, 2024
概括
我们在驱动的克莱恩-戈登链中发现了一个稳定的共振非线性波 (RNW),将其存在延伸到以前已知的极限之外. 这种稳定的RNW阶段,即使有热噪声,在实验中也为高电流传输提供了潜力.
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.
- 统计力学 统计力学
背景情况:
- 一个带有边界消散的Klein-Gordon链在一个端驱动,表现出共振非线性波 (RNW) 模式.
- 之前的研究观察到这种RNW模式在特定的驾驶振幅范围内 (F1,F2),随着系统尺寸的缩小而缩小.
研究的目的:
- 在驱动的克莱恩-戈登链中研究共振非线性波 (RNW) 模式的稳定性和行为.
- 探索驾驶振幅,系统大小,热噪声和不同驾驶协议对RNW模式和系统稳定状态的影响.
主要方法:
- 数字模拟和改进了克莱恩-戈登链模型的扰动分析.
- 在扰动性处理中包含第三和贡献.
- 分析具有边界散射和热噪声的系统,以及在不同的驾驶协议下.
主要成果:
- 发现RNW模式在驱动幅度Fd>F2时稳定,有两个共存的吸引器和有限的吸引盆地.
- 在少量的热噪声下,RNW模式保持稳定,导致两个不平衡稳定状态.
- 不同的驾驶协议导致了富里埃定律的稳定状态,突出了由于非线性和哈密尔顿动力学的差异.
结论:
- 响应非线性波 (RNW) 模式是驱动散射式克莱恩-戈登链中的一个强大的现象,存在于之前识别的参数范围之外.
- 该系统可以表现出多个不平衡稳定状态,受驱动振幅和热噪声的影响.
- 这些发现表明,在受控的初始条件下,对高电流携带RNW阶段的实验观测是可行的.
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