Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas  

Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas

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作  者:张因 李寅阊 刘锐 崔非非 Pierre Evesque 厚美瑛 

机构地区:[1]Beijing National Laboratory for Condensed Matter Physics and CAS Key Laboratory of Soft Matter Physics,Institute of Physics,Chinese Academy of Sciences [2]Department of Physics,Beijing Institute of Technology [3]Laboratory MSSMat, UMR 8579 CNRS,Ecole Centrale Paris

出  处:《Chinese Physics B》2013年第5期44-48,共5页中国物理B(英文版)

基  金:Project supported by the National Natural Science Foundation of China (Grant Nos. 11034010 and 11274354);the Chinese Academy of Sciences "Strategic Priority Research Program - SJ-10" (Grant No. XDA04020200);the Special Fund for Earthquake Research of China (Grant No. 201208011)

摘  要:The clustering behavior of a mono-disperse granular gas is experimentally studied in an asymmetric two-compartment setup. Unlike the random clustering in either compartment in the case of symmetric configuration when lowering the shaking strength to below a critical value, the directed clustering is observed, which corresponds to an imperfect pitchfork bifurcation. Numerical solutions of the flux equation using a modified simple flux function show qualitative agreements with the experimental results. The potential application of this asymmetric structure is discussed.The clustering behavior of a mono-disperse granular gas is experimentally studied in an asymmetric two-compartment setup. Unlike the random clustering in either compartment in the case of symmetric configuration when lowering the shaking strength to below a critical value, the directed clustering is observed, which corresponds to an imperfect pitchfork bifurcation. Numerical solutions of the flux equation using a modified simple flux function show qualitative agreements with the experimental results. The potential application of this asymmetric structure is discussed.

关 键 词:compartmentalized granular gases directed clustering imperfect pitchfork bifurcation 

分 类 号:O469[理学—凝聚态物理]

 

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