脉冲在装饰随机链中的传播
Pulse propagation in decorated random chains
摘要：
我们研究了脉冲在一维球形颗粒链中的传播，这些球形颗粒由放置在较大的单分散颗粒之间的随机大小的小颗粒装饰。这种“设计者链”在控制脉冲的行为以便根据期望的应用优化其传播或衰减的努力中是有意义的。我们表明，最近提出的简单的装饰链的有效描述可以扩展到预测随机选择的半径的小颗粒装饰链的脉冲特性。此外，我们还表明，二进制碰撞近似可以再次用于提供该系统的分析结果。
英文摘要：
We study pulse propagation in one-dimensional chains of spherical granules decorated with small randomly-sized granules placed between bigger monodisperse ones. Such "designer chains" are of interest in efforts to control the behavior of the pulse so as to optimize its propagation or attenuation, depending on the desired application. We show that a recently proposed effective description of simple decorated chains can be extended to predict pulse properties in chains decorated with small granules of randomly chosen radii. Furthermore, we also show that the binary collision approximation can again be used to provide analytic results for this system.
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