How solitary waves collide in discrete granular alignments

NCUIR > Research Center > Center for Complex Systems > journal & Dissertation > Item 987654321/27723

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27723

Title:	How solitary waves collide in discrete granular alignments
Authors:	Avalos,E;Sen,S
Contributors:	複雜系統研究中心
Keywords:	HERTZIAN CHAINS;PROPAGATION;DYNAMICS;CONTACT;SYSTEMS;SPHERES;PULSES;BEADS;PHASE
Date:	2009
Issue Date:	2010-06-29 19:13:44 (UTC+8)
Publisher:	中央大學
Abstract:	Solitary waves in continuum media pass through each other with only a slight phase change. However, in an intrinsically nonlinear many-body system such solitary waves could behave differently. It was predicted and experimentally confirmed that head-on solitary wave collisions in granular alignments are followed by the formation of tiny secondary solitary waves in the vicinity of the collision point. While it remains a challenge to provide an analytical treatment of the local time evolution, we present arguments and associated simulations to address a crucial unknown, namely, why the secondary solitary waves must form. Extensive numerical investigations on solitary wave collisions at a grain center and at an edge show marked differences. The effects of softening the grain repulsion are discussed to validate the arguments.
Relation:	PHYSICAL REVIEW E
Appears in Collections:	[Center for Complex Systems] journal & Dissertation

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