Multisoliton propagation in a linear granular chain

被引:22
作者
Lee, J [1 ]
Park, S
Yu, I
机构
[1] Seoul Natl Univ, Sch Phys, Seoul 151742, South Korea
[2] Seoul Natl Univ, Condensed Matter Res Inst, Seoul 151742, South Korea
来源
PHYSICAL REVIEW E | 2003年 / 67卷 / 06期
关键词
D O I
10.1103/PhysRevE.67.066607
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
When m grains hit a linear Hertzian chain of identical grains, m solitons are generated. We studied the multisoliton propagation using a particle dynamic simulation. The speed of solitons depends not only on the number of colliding grains but also on the sequence of generation. We found the hierarchy and evolution of the solitons as well as the generation of secondary solitons. We also found the oscillation and beats in the kinetic energy of the chain, which come from the discreteness of the medium in comparison with the spatial spreading of the soliton.
引用
收藏
页数:4
相关论文
共 9 条
[1]  
Allen M. P., 1987, Computer Simulation of Liquids
[2]  
[Anonymous], 1981, THEORY ELASTICITY
[3]   Asymptotic solution for solitary waves in a chain of elastic spheres [J].
Chatterjee, A .
PHYSICAL REVIEW E, 1999, 59 (05) :5912-5919
[4]   Solitary waves in a chain of beads under Hertz contact [J].
Coste, C ;
Falcon, E ;
Fauve, S .
PHYSICAL REVIEW E, 1997, 56 (05) :6104-6117
[5]  
Lamb G.L., 1980, Pure Appl. Math.
[6]   Crossing of identical solitary waves in a chain of elastic beads [J].
Manciu, M ;
Sen, S ;
Hurd, AJ .
PHYSICAL REVIEW E, 2001, 63 (01)
[7]   Impulse propagation in dissipative and disordered chains with power-law repulsive potentials [J].
Manciu, M ;
Sen, S ;
Hurd, AJ .
PHYSICA D-NONLINEAR PHENOMENA, 2001, 157 (03) :226-240
[8]  
Nesterenko V. F., 1983, Journal of Applied Mechanics and Technical Physics, V24, P733, DOI 10.1007/BF00905892
[9]   Solitary wave dynamics in generalized Hertz chains: An improved solution of the equation of motion [J].
Sen, S ;
Manciu, M .
PHYSICAL REVIEW E, 2001, 64 (05) :4