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

摘要

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.