脉冲在装饰颗粒链中的传播：一种分析方法
Pulse propagation in decorated granular chains: An analytical approach
摘要：
我们研究了脉冲在大颗粒之间的小颗粒装饰的球形颗粒一维链中的传播。小颗粒的影响可以通过用适当重整化质量的大颗粒的未修饰链和大颗粒之间的有效相互作用来替换修饰链来捕获。这使我们能够使用我们早期工作中引入的二元碰撞近似的推广来获得脉冲传播特性的简单解析表达式[Phys. Rev. E in print（2009）; Phys. Rev. E { \bf 69}，037601（2004）]
英文摘要：
We study pulse propagation in one-dimensional chains of spherical granules decorated with small grains placed between large granules. The effect of the small granules can be captured by replacing the decorated chains by undecorated chains of large granules of appropriately renormalized mass and effective interaction between the large granules. This allows us to obtain simple analytic expressions for the pulse propagation properties using a generalization of the binary collision approximation introduced in our earlier work [Phys. Rev. E in print (2009); Phys. Rev. E {\bf 69}, 037601 (2004)]
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