Diffusion in a granular fluid. I. Theory

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 65, Issue 5, 2002, Pages

  Dufty, James W ^a   Brey, J Javier ^b   Lutsko, James ^c  

^a University of Florida ^*  (United States)

^b UNIVERSITY OF SEVILLE   (Spain)

^c UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

MACROSCOPIC DIFFUSION; MEAN SQUARE VELOCITY; MODE COUPLINGS; VARIABLES;

COMPUTER SIMULATION; CORRELATION METHODS; DENSITY (SPECIFIC GRAVITY); DIFFUSION; ELASTICITY; GIBBS FREE ENERGY; MOLECULAR DYNAMICS; STATISTICAL MECHANICS;

GRANULAR MATERIALS;

EID: 37649031212     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.051303     Document Type: Article

References (48)

1. P. K. Hall, J. Fluid Mech. 134, 401 (1983).
2. C. S. Campbell, Annu Rev. Fluid Mech. 22, 57 (1990).
3. C. K. W. Lun, S. B. Savage, D. J. Jeffrey, and N. Chepurniy, J. Fluid Mech. 140, 223 (1984).
4. J. T. Jenkins and M. W. Richman, Arch. Ration. Mech. Anal. 87, 355 (1985); Phys. Fluids 28, 3485 (1986).
5. J. T. Jenkins and M. W. Richman, Arch. Ration. Mech. Anal. 87, 355 (1985); Phys. Fluids 28, 3485 (1986).
6. N. Sela and I. Goldhirsch, J. Fluid Mech. 361, 41 (1998).
7. J. J. Brey, J. W. Dufty, C. S. Kim, and A. Santos, Phys. Rev. E 58, 4638 (1998).
8. V. Garzó and J. W. Dufty, Phys. Rev. E 59, 5895 (1999).
9. J. J. Brey, M. J. Ruiz-Montero, and D. Cubero, Phys. Rev. E 54, 3664 (1996); Europhys. Lett. 48, 359 (1999).
10. J. J. Brey, M. J. Ruiz-Montero, and D. Cubero, Phys. Rev. E 54, 3664 (1996); Europhys. Lett. 48, 359 (1999).
11. J. J. Brey, M. J. Ruiz-Montero, and F. Moreno, Phys. Fluids 10, 2976 (1998).
12. A review and references can be found in: H. J. Herrmann, in Third Granada Lectures in Computational Physics, edited by P. L. Garrido and J. Marro, Lectures Notes in Physics Vol. 448 (Springer-Verlag, Berlin, 1995), p. 67.
13. O. Zik and J. Stavans, Europhys. Lett. 16, 255 (1991).
14. V. V. R. Nataranjan, M. L. Hunt, and E. D. Taylor, J. Fluid Mech. 304, 1 (1995).
15. A. Kudrolli, M. Wolpert, and J. P. Gollub, Phys. Rev. Lett. 78, 1383 (1997).
16. R. D. Wildman, J. M. Huntley, J.-P. Hansen, D. J. Parker, and D. A. Allen, Phys. Rev. E 62, 3826 (2000).
17. X. Yang, C. Huan, D. Candela, R. Mair, and R. Walsworth, Phys. Rev. Lett. 88, 044301 (2002).
18. E. Rericha, C. Bizon, M. Shattuck, and H. Swinney, Phys. Rev. Lett. 88, 014 302 (2002).
19. J. W. Dufty, J. Phys.: Condens. Matter 12, A47 (2000).
20. W. E. Alley, B. J. Alder, and S. Yip, Phys. Rev. A 27, 3174 (1983).
21. T. Naitoh, M. H. Ernst, M. A. van der Hoef, and D. Frenkel, Phys. Rev. A 44, 2484 (1991).
22. J. J. Brey, M. J. Ruiz-Montero, D. Cubero, and R. Garcí-Rojo, Phys. Fluids 12, 876 (2000).
23. J. J. Brey and D. Cubero, in Granular Gases, edited by T. Pöschel and S. Luding (Springer, New York, 2001).
24. T. van Noije and M. H. Ernst, in Granular Gases, edited by T. Pöschel and S. Luding (Springer, New York, 2001).
25. A. Goldstein and M. Shapiro, J. Fluid Mech. 282, 75 (1995).
26. J. J. Brey, J. W. Dufty, and A. Santos, J. Stat. Phys. 87, 1051 (1997).
27. T. P. C. van Noije and M. H. Ernst, Granular Matter 1, 57 (1998).
28. V. Garzó and J. Dufty, Phys. Rev. E 60, 5706 (1999).
29. J. W. Dufty and V. Garzó, J. Stat. Phys. 105, 723 (2001).
30. A. Santos and J. W. Dufty, Phys. Rev. Lett. 86, 4823 (2001);
31. Phys. Rev. E 64, 051305 (2001).
32. J. Lutsko, J. J. Brey, and J. W. Dufty, Phys. Rev. E 65, 051304 (2002).
33. T. P. C. van Noije and M. H. Ernst, Physica A 251, 266 (1998).
34. M. Huthmann, J. Orza, R. Brito, Granular Matter 2, 189 (2000).
35. K. Feitosa and N. Menon, e-print, cond-mat/0111391.
36. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); I. Goldshirsch, M. L. Tan, and G. Zanetti, J. Sci. Comput. 8, 1 (1993).
37. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); I. Goldshirsch, M. L. Tan, and G. Zanetti, J. Sci. Comput. 8, 1 (1993).
38. S. McNamara and W. R. Young, Phys. Rev. E 50, R28 (1994); 53, 5089 (1996).
39. S. McNamara and W. R. Young, Phys. Rev. E 50, R28 (1994); 53, 5089 (1996).
40. J. A. McLennan, Introduction to Nonequilibrium Statistical Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1989).
41. J. J. Brey, F. Moreno, and N. J. Ruiz-Montero, Phys. Fluids 10, 2965 (1998).
42. J. Lebowitz, J. Percus, and J. Sykes, Phys. Rev. 188, 487 (1969).
43. R. Soto and M. Mareschal, Phys. Rev. E 63, 041303 (2001).
44. I. Goldhirsch and T. P. C. van Noije, Phys. Rev. E 61, 3241 (1999).
45. J. Dufty and J. J. Brey (unpublished).
46. N. V. Brilliantov and T. Pöschel, Phys. Rev. E 61, 1716 (2000).
47. S. S. Hsiau and M. L. Hunt, ASME Trans. J. Heat Transfer 115, 541 (1993).
48. S. B. Savage and R. Dai, Mech. Mater. 16, 225 (1993).