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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 Evesquec, 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 |
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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.
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Received: 04 December 2012
Revised: 23 December 2012
Accepted manuscript online:
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PACS:
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47.20.Ky
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(Nonlinearity, bifurcation, and symmetry breaking)
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45.70.-n
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(Granular systems)
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05.70.Ln
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(Nonequilibrium and irreversible thermodynamics)
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Fund: 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). |
Corresponding Authors:
Hou Mei-Ying
E-mail: mayhou@aphy.iphy.ac.cn
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Cite this article:
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 2013 Chin. Phys. B 22 054701
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[1] |
Schumaker M F and Horsthemke W 1987 Phys. Rev. A 36 354
|
[2] |
Abshagen J and Pfister G 2008 Phys. Rev. E 78 046206
|
[3] |
Juel A, Darbyshire A G and Mullin T 1997 Proc. R. Soc. A 453 2627
|
[4] |
Yabuzaki T, Okamoto T, Kitano M and Ogawa T 1984 Phys. Rev. A 29 1964
|
[5] |
Hou M, Li Y, Liu R, Zhang Y and Lu K 2010 Physica. Status Solidi A 207 2739
|
[6] |
Li Y, Liu R and Hou M 2012 Phys. Rev. Lett. 109 198001
|
[7] |
Eggers J 1999 Phys. Rev. Lett. 83 5322
|
[8] |
van der Weele K, van der Meer D, Versluis M and Lohse D 2001 Europhys. Lett. 53 328
|
[9] |
van der Meer D, van der Weele K and Lohse D 2002 Phys. Rev. Lett. 88 174302
|
[10] |
Mikkelsen R, van der Meer D, van der Weele K and Lohse D 2002 Phys. Rev. Lett. 89 214301
|
[11] |
Mikkelsen R, van der Meer D, van der Weele K and Lohse D 2004 Phys. Rev. E 70 061307
|
[12] |
van der Weele K, Kanellopoulos G, Tsiavos C and van der Meer D 2009 Phys. Rev. E 80 011305
|
[13] |
Kanellopoulos G and van der Weele K 2008 Critical Flow of Granular Matter on a Conveyor Belt June 29-July 13 2008, Maribor, Slovenia, pp. 112-121
|
[14] |
Martin T W, Huntley J M and Wildman R D 2005 J. Fluid Mech. 535 325
|
[15] |
Brey J J and Ruiz-Montero M J 2003 Phys. Rev. E 67 021307
|
[16] |
Li Y, Hou M and Evesque P 2011 Journal of Physics: Conference Series 327 012034
|
[17] |
Hussain Shah S, Li Y, Cui F, Evesque P and Hou M 2012 Chin. Phys. Lett. 29 034501
|
[18] |
Hussain Shah S, Li Y, Cui F, Evesque P and Hou M 2010 Chin. Phys. Lett. 29 034501
|
[19] |
Kruggel-Emden H, Simsek E, Rickelt S, Wirtz S and Scherer V 2007 Powder Technol. 171 157
|
[20] |
Brey J J, Moreno F, Garcya-Rojo R and Ruiz-Montero M J 2001 Phys. Rev. E 65 011305
|
[21] |
Isert N, MaaB C C and Aegerter C M 2009 Eur. Phys. J. E 28 205
|
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