Head-on Collision of Solitary Waves Described by the Toda Lattice Model in Granular Chain  

作　　者：Qianqian Wu Xingyi Liu Tengfei Jiao Surajit Sen Decai Huang 武倩倩;刘行易;矫滕菲;Surajit Sen;黄德财(Department of Applied Physics,Nanjing University of Science and Technology,Nanjing 210094,China;Department of Physics,State University of New York,Buffalo 14260-1500,USA)

机构地区：[1]Department of Applied Physics,Nanjing University of Science and Technology,Nanjing 210094,China [2]Department of Physics,State University of New York,Buffalo 14260-1500,USA

出　　处：《Chinese Physics Letters》2020年第7期34-37,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11574153)。

摘　　要：We study the head-on collision of two solitary waves in a precompressed granular chain using the discrete element method.Our study takes the Toda chain solution as the initial condition for the simulations.The simulation covers the dynamical evolution of the collision process from the start of the incident wave to the end of the collision.The interaction has a central collision region of about five-grain width in which two solitary waves merge completely and share only one peak.Four stages,i.e.,the pre-in-phase traveling stage,lag-phase collision state,lead-phase collision state,and post-in-phase traveling stage,are identified to describe the complex collision processes.Our results may be helpful for explaining the existence of long-lived solitary waves seen in the simulations by Takato and Sen[Europhys.Lett.100(2012)24003].

关 键 词：method. COLLISION SOLITARY 

分 类 号：O313.4[理学—一般力学与力学基础]