Chaotic behaviour of disordered nonlinear lattices
arXiv (Cornell University)(2021)
摘要
This thesis focuses on the mechanisms of energy transport in multidimensional heterogeneous lattice models, studying in particular the case of the Klein-Gordon model of coupled anharmonic oscillators in one and two spatial dimensions. We report the effects of the type of the impurity (heterogeneity) parameter on the systems' transport properties and classifies the transport mechanisms of the nonlinear versions of the models into various dynamical regimes. We also identify computationally efficient numerical integration techniques, including the so-called symplectic integrators, and implement them for studying these models. Finally, we perform an extensive numerical investigation of the dynamics of the considered models revealing that for their nonlinear versions chaotic transport persists and chaotic hotspots meander in the region of energy concentration supporting the spreading mechanism.
更多查看译文
关键词
nonlinear lattices,chaotic behaviour
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要