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

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

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.

Keywords: granular systems solitary wave molecular dynamics simulation

Received: 01 May 2011
Revised: 23 August 2011
Accepted manuscript online:

PACS:	45.70.-n	(Granular systems)
	46.40.Cd	(Mechanical wave propagation (including diffraction, scattering, and dispersion))
	47.20.Ky	(Nonlinearity, bifurcation, and symmetry breaking)

Fund: 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.

Corresponding Authors: Liu Chang-Song,csliu@issp.ac.cn
E-mail: csliu@issp.ac.cn

Cite this article:

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 2012 Chin. Phys. B 21 024501

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