Steady state properties of a driven granular medium

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 4, 1998, Pages 4737-4746

  Peng, Gongwen ^a   Ohta, Takao ^a  

^a OCHANOMIZU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; CORRELATION METHODS; DIFFUSION; ENERGY DISSIPATION; GRAVITATIONAL EFFECTS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; NUMERICAL METHODS; TEMPERATURE;

INELASTIC COLLISIONS; MAXWELLIAN DISTRIBUTION; RICHARDSON LAW; STEADY STATE PROPERTIES; TWO DIMENSIONAL GRANULAR SYSTEM;

GRANULAR MATERIALS;

EID: 0032185917     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.4737     Document Type: Article

References (32)

1. H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).RMPHAT
2. Disorder and Granular Media, edited by A. Hansen and D. Bideau (North-Holland, Amsterdam, 1992).
3. Granular Matter: An Interdisciplinary Approach, edited by A. Mehta (Springer, New York, 1994).
4. M. A. Hopkins and M. Y. Louge, Phys. Fluids A 3, 47 (1991).PFADEB
5. C. S. Campbell and C. E. Brennen, J. Fluid Mech. 151, 167 (1985).JFLSA7
6. M. Babić, J. Fluid Mech. 254, 127 (1993).JFLSA7
7. S. Luding, E. Clément, A. Blumen, J. Rajchenbach, and J. Duran, Phys. Rev. E 49, 1634 (1994).PLEEE8
8. B. Bernu and R. Mazighi, J. Phys. A 23, 5745 (1990).JPHAC5
9. Y. Du, H. Li, and L. P. Kadanoff, Phys. Rev. Lett. 74, 1268 (1995).PRLTAO
10. P. Deltour and J.-L. Barrat, J. Phys. I 7, 137 (1997).JPGCE8
11. J. A. G. Orza, R. Brito, T. P. C. Van Noije, and M. H. Ernst, Int. J. Mod. Phys. C8, 953 (1997).IJMPEO
12. A. Mehta and S. F. Edwards, Physica A 168, 714 (1990).PHYADX
13. H. J. Herrmann, J. Phys. II 3, 427 (1993).JPAHER
14. H. Hayakawa and D. C. Hong, Phys. Rev. Lett. 78, 2764 (1997).PRLTAO
15. S. Warr and J. P. Hansen, Europhys. Lett.36, 589 (1996).EULEEJ
16. G. H. Ristow, G. Strassburger, and I. Rehberger, Phys. Rev. Lett.79, 833 (1997).PRLTAO
17. K. Ichiki and H. Hayakawa, Phys. Rev. E57, 1990 (1998).PLEEE8
18. D. R. M. Williams and F. C. MacKintosh, Phys. Rev. E 54, R9 (1996).PLEEE8
19. M. P. Allen and D. J. Tildesley, Computer Simulations of Liquids (Clarendon, Oxford, 1987).
20. S. McNamara and W. R. Young, Phys. Rev. E 50, R28 (1994).PLEEE8
21. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993).PRLTAO
22. L. D. Landau and E. M. Lifshitz, Statistical Physics, 3rd ed. (Pergamon, Oxford, 1989).
23. Y.-h. Taguchi and H. Takayasu, Europhys. Lett. 30, 499 (1995).EULEEJ
24. K. Ichiki and H. Hayakawa, Phys. Rev. E 52, 658 (1995).PLEEE8
25. We have found that when our system is exposed to a uniaxial field (gravity), the velocity distribution satisfies no longer Gaussian distribution for the whole system. However, a Gaussian distribution is still valid for any part of the system with height δh as long as mgδh≪1/2m(v2). This is very different from the situation of elastic systems where the Boltzmann distribution governs the density changes but the average kinetic energy is kBT anywhere in the system.
26. J. Klafter, M. F. Shlesinger, and G. Zumofen, Phys. Today49(2), 33 (1996).PHTOAD
27. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
28. U. Frisch, P. L. Sulem, and M. Nelkin, J. Fluid Mech. 87, 719 (1978).JFLSA7
29. P. Bak, C. Tang, and K. Wiensenfeld, Phys. Rev. Lett. 59, 381 (1987).PRLTAO
30. D. Sornette, J. Phys. I 4, 209 (1994).JPGCE8
31. Granular turbulence was addressed in Y.-h. Taguchi, Europhys. Lett. 24, 203 (1993).EULEEJ
32. G. Peng and T. Ohta, Phys. Rev. E 55, 6811 (1997). PLEEE8