Cluster Model for Wave-Like Motions of a 2D Vertically Vibrated Granular System

• 来源期刊: 中国物理快报(英文版)
• 年，卷（期）: 2010,（12）
• 页码范围: 117-120
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/27/12/124501

摘要

The fact that trapezoid clusters exist in 2D vertically vibrated granular systems leads us to construct a cluster model,in which wave-like motions are explained as the result ot cluster-plate and cluster-cluster collisions.By analyzing the collision of one cluster with the plate in detail,we deduce a basic equation from velocity relationship,which could be separated into two correlarive equations:one relates wave-like motion with exciting acceleration,and we call it the excitation condition;the other relates wavelength with exciting frequency,viz.,the dispersion relation.The theoretical results are in agreement Hdth the experimental 0nes.which supports the idea of the cluster model.Moreover,from the duster model,we also predict a possiNlity of abnormal dispersion relation of a 2D granular system.