GENERAL |
|
|
|
|
Velocity Distributions in Inelastic Granular Gases with Continuous Size Distributions |
LI Rui1**, ZHANG Duan-Ming2, LI Zhi-Hao1
|
1Department of Physics, Hubei University of Education, Wuhan 430205
2Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
|
|
Cite this article: |
LI Rui, ZHANG Duan-Ming, LI Zhi-Hao 2011 Chin. Phys. Lett. 28 090506 |
|
|
Abstract We study by numerical simulation the property of velocity distributions of granular gases with a power-law size distribution, driven by uniform heating and boundary heating. It is found that the form of velocity distribution is primarily controlled by the restitution coefficient η and q, the ratio between the average number of heatings and the average number of collisions in the system. Furthermore, we show that uniform and boundary heating can be understood as different limits of q, with q≫1 and q≤1, respectively.
|
Keywords:
05.20.Dd
81.05.Rm
83.10.Pp
|
|
Received: 06 June 2011
Published: 30 August 2011
|
|
|
|
|
|
[1] Kadanoff L P 1999 Rev. Mod. Phys. 71 435
[2] Duran J 2000 Sands, Powders and Grains (New York: Springer)
[3] Brilliantov N and Pöschel T 2004 Kinetic Theory of Granular Gases (Oxford: Oxford University)
[4] Williams D R M and MacKintosh F C 1996 Phys. Rev. E 54 R9
[5] Moon S J, Shattuck M D and Swift J B 2001 Phys. Rev. E 64 031303
[6] van Noije T P C and Ernst M H 1998 Granular Matter 1 57
[7] Luding S, Clément E, Blumen A, Rajchenbach J and Duran J 1994 Phys. Rev. E 49 1634
[8] Losert W, Cooper D G W, Delour J, Kudrolli A and gollub J P 1999 Chaos 9 682
[9] Blair D L and Kudrolli A 2001 Phys. Rev. E 64 050301
[10] Rouyer F and Menon N 2000 Phys. Rev. Lett. 85 3676
[11] Barrat A and Trizac E 2002 Phys. Rev. E 66 051303
[12] van Zon J S and MacKintosh F C 2004 Phys. Rev. Lett. 93 028001
van Zon J S and MacKintosh F C 2005 Phys. Rev. E 72 051301
[13] Li R, Zhang D M, Chen Z Y and Su X Y 2007 Chin. Phys. Lett. 24 1482
[14] Zhang D M, Li R et al 2005 J. Phys. A: Math. Gen. 38 8861
[15] Barrat A and Trizac E 2003 Eur. J. Phys. 11 99
[16] Olafsen J S and Urbach J S 1999 Phys. Rev. E 60 R2468
Olafsen J S and Urbach J S 1998 Phys. Rev. Lett. 81 4369
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|