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Simulation on propagation characteristics of solitary waves in a one-dimensional charged granular chain

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Abstract

Solitary waves propagating in a one dimensional charged granular chain has been investigated numerically. Electrically long-range interaction is introduced into such a nonlinear system for the first time. The propagating characteristics of the waves due to physical parameters of materials are studied systematically. It is found that both single solitary wave and multi-solitary wave can be excited in the granular chain. Numerical results show that the amplitude of the solitary wave decays exponentially because of damping as time increases even if the Coulomb’s force is taken into account. Specifically, Young’s modulus and charge quantity have slightly effect on the amplitude attenuation rate. However, the damping coefficient and the density of particles have significant effect.

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Acknowledgements

Project supported by the National Natural Science Foundation of P. R. China (Grant Nos.11565021, 11047010), the Scientific Research Foundation of Northwest Normal University (Grant No. NWNU-LKQN-16-3).

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Authors and Affiliations

  1. College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou, 730070, People’s Republic of China

    Lie-Juan Li, Xiao-Lin Li, Zhi-Kun Zhou, Lin Song, Zhong-Hong Xi, Jian-An Sun & Yu-Ren Shi

  2. Laboratory of Atomic Molecular Physics and Functional Material of Gansu Province, Lanzhou, 730070, People’s Republic of China

    Lie-Juan Li, Xiao-Lin Li, Zhi-Kun Zhou, Lin Song, Zhong-Hong Xi, Jian-An Sun & Yu-Ren Shi

  3. College of Physics and Hydropower Engineering, Gansu Normal University For Nationalities, Hezuo, 747000, People’s Republic of China

    Zhong-Hong Xi

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  1. Lie-Juan Li
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Li, LJ., Li, XL., Zhou, ZK. et al. Simulation on propagation characteristics of solitary waves in a one-dimensional charged granular chain. Granular Matter 21, 46 (2019). https://doi.org/10.1007/s10035-019-0894-6

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