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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Binary collision approximation for multi-decorated granular chains
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Binary collision approximation for multi-decorated granular chains

机译：多装饰颗粒链的二元碰撞近似

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摘要

Westudy pulse propagation along decorated tapered granular chains without precompression. Our goal is to generalize the results obtained in our previous work, by analyzing a decorated chain with an arbitrary number of small grains between the large ones. Making use of an effective description, where the original decorated tapered chain is replaced by a non-decorated tapered chain with effective masses interacting via an effective potential, and applying the binary collision approximation, we calculate the residence time of the pulse on each effective large grain. We also present the comparison between the numerical integration of the equations of motion and our analytical predictions which show the agreement to be very good for the pulse velocity, albeit only qualitatively for the velocity of the grains.
机译：沿预装饰的锥形颗粒链传播的Westudy脉冲传播。我们的目标是通过分析装饰链在大晶粒之间具有任意数量的小晶粒，来概括先前工作中获得的结果。利用有效描述，其中原始装饰的锥形链被未装饰的锥形链代替，该非装饰锥形链具有通过有效电位相互作用的有效质量，并应用二元碰撞近似，我们计算每个有效大块上脉冲的停留时间粮食。我们还提出了运动方程的数值积分与我们的分析预测之间的比较，这些分析表明，该协议对于脉冲速度非常好，尽管仅对谷物的速度进行了定性。

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