Maturing process of solitary wave train in a step-down chain

doi:10.1088/1674-1056/21/2/024501

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 24501-024501.doi: 10.1088/1674-1056/21/2/024501

夏继宏¹ ²,王平建¹,刘长松¹

收稿日期:2011-05-01 修回日期:2011-08-23 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 刘长松,csliu@issp.ac.cn E-mail:csliu@issp.ac.cn

Maturing process of solitary wave train in a step-down chain

Xia Ji-Hong(夏继宏)^a)b), Wang Ping-Jian(王平建)^a), and Liu Chang-Song(刘长松)^a)^†

a. Key Laboratory of Materials Physics, Institute of Solid State Physics, Chinese Academy of Sciences, Hefei 230031, China;
b. Department of Physics, Chongqing University of Arts and Sciences, Chongqing 402160, China

Received:2011-05-01 Revised:2011-08-23 Online:2012-01-30 Published:2012-01-30
Contact: Liu Chang-Song,csliu@issp.ac.cn E-mail:csliu@issp.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11074253), the Research Foundation of Chongqing University of Arts and Sciences (Grant No. Z2011RCYJ05), and the Foundation supported by the Center for Computational Science, Hefei Institutes of Physical Sciences.

摘要/Abstract

Abstract: In a step-down chain a solitary wave (SW) evolves into an SW train (SWT), but the formation of well-defined SWT takes time and space and little is known of the process from immature into mature SWT. We therefore perform a detailed numerical study of this process by analysing the local velocity amplitude and peak overlap of immature ordered SWs. The first SW continuously increases to maximal velocity amplitude and peak overlap until it is matured, but for following SWs there exist a minimal and maximal value of local velocity amplitude and, a minimal and maximal value of local peak overlap, clarifying the details of the energy propagation along the stepped chain. The immature and mature SWTs show the same dependence of the phase velocity on the SWs sequence. These provide guidelines for when or where the attention should be paid in the study of SWT.

Key words: granular systems, solitary wave, molecular dynamics simulation

中图分类号: (Granular systems)

45.70.-n

46.40.Cd (Mechanical wave propagation (including diffraction, scattering, and dispersion)) 47.20.Ky (Nonlinearity, bifurcation, and symmetry breaking)

夏继宏, 王平建, 刘长松. [J]. 中国物理B, 2012, 21(2): 24501-024501.

Xia Ji-Hong(夏继宏), Wang Ping-Jian(王平建), and Liu Chang-Song(刘长松) . Maturing process of solitary wave train in a step-down chain[J]. Chin. Phys. B, 2012, 21(2): 24501-024501.

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Maturing process of solitary wave train in a step-down chain

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