Modulational instability and chaotic breathers in two dimensional Fermi-Pasta-Ulam lattices

Modulational instability and chaotic breathers in two dimensional Fermi-Pasta-Ulam lattices
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DOI：
10.1063/1.4749299
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发表时间：
2012-09
期刊：
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影响因子：
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通讯作者：
Y. Doi;A. Nakatani
Y. Doi;A. Nakatani
中科院分区：
其他
文献类型：
--
作者：
Y. Doi;A. Nakatani

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严格分析了二维双原子费米-帕斯塔-乌拉姆 (FPU)-β 晶格中区带边界模式 (ZBM) 和带边模式 (BEM) 的调制不稳定性。我们考虑二维晶格，其中粒子与其最近邻粒子和次近邻粒子相互作用。我们发现 ZBM 和 BEM 的稳定性取决于系统的质量比和粒子之间相互作用的强度。此外，我们还提出了带有小扰动的 ZBM 和 BEM 时间演化的数值模拟结果。数值结果显示了系统变得不稳定后的动力学，这是线性分析无法跟踪的。
Modulational instability of zone boundary modes (ZBMs) and band edge modes (BEMs) in two dimensional diatomic Fermi-Pasta-Ulam (FPU)-β lattices is analyzed rigorously. We consider the two dimensional lattices in which a particle interacts their nearest neighbor and second nearest neighbor particles. We find the stability of the ZBMs and BEMs depend on the mass ratio of the system and the strength of interactions between particles. Moreover we present some results of numerical simulations of temporal evolution of the ZBMs and BEMs with small perturbations. The numerical results show the dynamics after the system becomes unstable, which cannot be tracked by the linear analysis.