The signalgenerated by an initial perturbation dispersively propagates in the vertical granular chain under gravity. For the power-law-type contact force, the signalspeed follows power-law with the depth. When the per...The signalgenerated by an initial perturbation dispersively propagates in the vertical granular chain under gravity. For the power-law-type contact force, the signalspeed follows power-law with the depth. When the perturbation is very weak, the exponent is (1 - 1/p). When the perturbation is very strong, the exponent approaches zero. The transition of the exponent from oscillatory regime with weak nonlinearity to quasi-solitary regime with strong nonlinearity is smooth.展开更多
基金The authors acknowledge the financial support,韩国研究项目,韩国教育部资助项目
文摘The signalgenerated by an initial perturbation dispersively propagates in the vertical granular chain under gravity. For the power-law-type contact force, the signalspeed follows power-law with the depth. When the perturbation is very weak, the exponent is (1 - 1/p). When the perturbation is very strong, the exponent approaches zero. The transition of the exponent from oscillatory regime with weak nonlinearity to quasi-solitary regime with strong nonlinearity is smooth.