Irregular Oscillation of Bi-disperse Granular Gas in Cyclic Three Compartments
Sajjad Hussain Shah1,2, LI Yin-Chang2, CUI Fei-Fei1,2, ZHANG Qi2, Pierre Evesque3, HOU Mei-Ying1,2**
1Department of Physics, Beijing Institute of Technology, Beijing 100081 2Institute of Physics, Chinese Academy of Sciences, Beijing 100190 3Lab MSSMat, EcoleCentrale de Paris, 92295 Chatenay-Malabry, France
Irregular Oscillation of Bi-disperse Granular Gas in Cyclic Three Compartments
Sajjad Hussain Shah1,2, LI Yin-Chang2, CUI Fei-Fei1,2, ZHANG Qi2, Pierre Evesque3, HOU Mei-Ying1,2**
1Department of Physics, Beijing Institute of Technology, Beijing 100081 2Institute of Physics, Chinese Academy of Sciences, Beijing 100190 3Lab MSSMat, EcoleCentrale de Paris, 92295 Chatenay-Malabry, France
摘要A 3-D molecular dynamics simulation of a bi-disperse vibro-fluidized granular gas in a cyclic three-compartment cell is performed. A cluster of particles is randomly found in one of the compartments. Lohse's flux model is modified to incorporate inelastic particle-boundary collisions. This model predicts that periodically there is clustering in each compartment. It is then found that if the model is further modified to incorporate Gaussian white noise, it correctly predicts the non-sequential clustering behavior confirming that there is no chaotic behavior.
Abstract：A 3-D molecular dynamics simulation of a bi-disperse vibro-fluidized granular gas in a cyclic three-compartment cell is performed. A cluster of particles is randomly found in one of the compartments. Lohse's flux model is modified to incorporate inelastic particle-boundary collisions. This model predicts that periodically there is clustering in each compartment. It is then found that if the model is further modified to incorporate Gaussian white noise, it correctly predicts the non-sequential clustering behavior confirming that there is no chaotic behavior.
Sajjad Hussain Shah1,2, LI Yin-Chang2, CUI Fei-Fei1,2, ZHANG Qi2, Pierre Evesque3, HOU Mei-Ying1,2**. Irregular Oscillation of Bi-disperse Granular Gas in Cyclic Three Compartments[J]. 中国物理快报, 2012, 29(3): 34501-034501.
Sajjad Hussain Shah, LI Yin-Chang, CUI Fei-Fei, ZHANG Qi, Pierre Evesque, HOU Mei-Ying. Irregular Oscillation of Bi-disperse Granular Gas in Cyclic Three Compartments. Chin. Phys. Lett., 2012, 29(3): 34501-034501.
[1] Jaeger H M, Nagel S R and Behringer R P 1996 Rev. Mod. Phys. 68 1259
[2] Goldhirsch I and Zanetti G 1993 Phys. Rev. Lett. 70 1619
[3] Goldhirsch I, Tan M L and Zanetti G 1993 J. Sci. Comput. 8 1
[4] McNamara S and Young W R 1994 Phys. Rev. E 50 R28
[5] Losert W, Cooper D G W and Gollub J P 1999 Phys. Rev. E 59 5855
[6] Olafsen J S and Urbach J S 1998 Phys. Rev. Lett. 81 4369
[7] Schlichting H J and Nordmeier V 1996 Math. Naturwiss. Unterr. 49 323 (in German)
[8] Miao T D, Liu Y, Miao F X and Mu Q S 2005 Chin. Sci. Bull. 50 726
[9] Lambiotte R, Salazar J M and Brenig L 2005 Phys. Lett. A 343 224
[10] Jullien R and Meakin P 1990 Nature 344 425
[11] Costantini G, Paolotti D, Cattuto C and Marconi U M B 2005 Physica A 347
[12] Viridi S, Schmick M, Markus M 2006 Phys. Rev. E 74 041301
[13] Hou M, Tu H, Liu R, Li Y, Lu K, Lai P and Chan C K 2008 Phys. Rev. Lett. 100 068001
[14] Javier J, Brey A, Garcı a Rojo R, Moreno F and Ruiz Montero M J 2006 Eur. Phys. J. 146 323
[15] Van der Meer D, Van der Weele K and Reimann P 2006 Phys. Rev. E 73 061304
[16] Liu Y, Mu Q, Miao T and Liao J 2008 Eur. Phys. lett. 84 14004
[17] Liu R, Li Y and Hou M 2009 Phys. Rev. E 79 052301
[18] Mikkelsen R, Van der Meer D, van der Weele K and Lohse D 2004 Phys. Rev. E 70 061307
[19] Eggers J 1999 Phys. Rev. Lett. 83 5322
[20] Mikkelsen R, Van der Weele K, van der Meer D, Van Hecke M and Lohse D 2005 Phys. Rev. E 71 041302
[21] Li Y, Liu R, Shinde M and Hou M 2012 Granular Matter (submitted)
2012, Vol. 29 
