Secondary solitary wave formation in systems with generalized Hertz interactions

Secondary solitary wave formation in systems with generalized Hertz interactions
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DOI:
10.1103/physreve.66.016616
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发表时间:
2002-07-01
期刊:
影响因子:
2.4
通讯作者:
Sen, S
Sen, S
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Manciu, FS;Sen, S

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我们考虑半径为R的单分散弹性颗粒链,其中颗粒几乎不接触。颗粒通过赫兹型电势接触时相斥,V与δ(n)成比例,n>2,其中δ大于或等于0,是颗粒-颗粒重叠,δ等于2 R-(u(i+1)-u(i)),其中u(i)表示颗粒i从其原始平衡位置的位移。这是一个计算研究,我们认为n是任意的。我们的动力学模拟建立在Nesterenko,Coste和Sen及其同事的几项早期研究的基础上,这些研究表明脉冲作为固定空间范围的孤立波传播,无限大
We consider a chain of monodisperse elastic grains of radius R where the grains are barely in contact. The grains repel upon contact via the Hertz-type potential, Vproportional todelta(n), n>2, where deltagreater than or equal to0, is the grain-grain overlap, deltaequivalent to2R-(u(i+1)-u(i)), where u(i) denotes the displacement of grain i from its original equilibrium position. This being a computational study, we consider n to be arbitrary. Our dynamical simulations build on several earlier studies by Nesterenko, Coste, and Sen and co-workers that have shown that an impulse propagates as a solitary wave of fixed spatial extent, infinity