论文标题
FPU链中的光学声学相互作用与交替的大质量(加附录)
Optical-acoustical interaction in FPU-chains with alternating large masses (plus appendix)
论文作者
论文摘要
周期性FPU链具有交替质量的问题之一是所谓的(高频)光学和(低频)声学基团之间是否存在显着相互作用。我们表明,对于$ 4N $和$ 8N $粒子($ n = 1,2,\ ldots $)的$α$链,我们具有由外部强迫引起的重大互动。对于$ 4 $和$ 8 $粒子的$β$链,交互的特征是参数强迫,相互作用可以忽略不计。
One of the problems of periodic FPU-chains with alternating masses is whether significant interactions exist between the so-called (high frequency) optical and (low frequency) acoustical groups. We show that for $α$-chains with $4n$ and $8n$ particles ($n= 1, 2, \ldots$) we have significant interactions caused by external forcing. For $β$-chains with $4$ and $8$ particles the interactions are characterised by parametric forcing, the interactions are negligible.