Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas

doi:10.1088/1674-1056/22/5/054701

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 54701-054701.doi: 10.1088/1674-1056/22/5/054701

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Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas

张因^a, 李寅阊^a, 刘锐^a, 崔非非^b, Pierre Evesque^c, 厚美瑛^a

a Beijing National Laboratory for Condensed Matter Physics and CAS Key Laboratory of Soft Matter Physics,Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
b Department of Physics, Beijing Institute of Technology, Beijing 100081, China;
c Laboratory MSSMat, UMR 8579 CNRS, Ecole Centrale Paris, 92295 Chatenay-Malabry, France

收稿日期:2012-12-04 修回日期:2012-12-23 出版日期:2013-04-01 发布日期:2013-04-01
基金资助:
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), and the Special Fund for Earthquake Research of China (Grant No. 201208011).

Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas

Zhang Yin (张因)^a, Li Yin-Chang (李寅阊)^a, Liu Rui (刘锐)^a, Cui Fei-Fei (崔非非)^b, Pierre Evesque^c, Hou Mei-Ying (厚美瑛)^a

a Beijing National Laboratory for Condensed Matter Physics and CAS Key Laboratory of Soft Matter Physics,Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
b Department of Physics, Beijing Institute of Technology, Beijing 100081, China;
c Laboratory MSSMat, UMR 8579 CNRS, Ecole Centrale Paris, 92295 Chatenay-Malabry, France

Received:2012-12-04 Revised:2012-12-23 Online:2013-04-01 Published:2013-04-01
Contact: Hou Mei-Ying E-mail:mayhou@aphy.iphy.ac.cn
Supported by:
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), and the Special Fund for Earthquake Research of China (Grant No. 201208011).

摘要/Abstract

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.

关键词: compartmentalized granular gases, directed clustering, imperfect pitchfork bifurcation

Abstract: 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.

Key words: compartmentalized granular gases, directed clustering, imperfect pitchfork bifurcation

中图分类号: (Nonlinearity, bifurcation, and symmetry breaking)

47.20.Ky

45.70.-n (Granular systems) 05.70.Ln (Nonequilibrium and irreversible thermodynamics)

张因, 李寅阊, 刘锐, 崔非非, Pierre Evesque, 厚美瑛. Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas[J]. 中国物理B, 2013, 22(5): 54701-054701.

Zhang Yin (张因), Li Yin-Chang (李寅阊), Liu Rui (刘锐), Cui Fei-Fei (崔非非), Pierre Evesque, Hou Mei-Ying (厚美瑛). Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas[J]. Chin. Phys. B, 2013, 22(5): 54701-054701.

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Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas

Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas

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