Self-diffusion in granular gases: Green-Kubo versus Chapman-Enskog

Chaos

Volumn 15, Issue 2, 2005, Pages

  Brilliantov, Nikolai V ^a   Pöschel, Thorsten ^b,c  

^a UNIVERSITY OF POTSDAM   (Germany)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c CHARITÉ UNIVERSITÄTSMEDIZIN BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 31144448217     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1889266     Document Type: Article

References (49)

1. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993).
2. S. McNamara, Phys. Fluids A 5, 3056 (1993).
3. R. Brito and M. H. Ernst, Europhys. Lett. 43, 497 (1998).
4. N. V. Brilliantov and T. Pöschel, Kinetic Theory of Granular Gases (Oxford University Press, Oxford, 2004).
5. V. Garzo and J. M. Montanero, Phys. Rev. E 69, 021301 (2004).
6. A. Barrat and E. Trizac, Granular Matter 4, 57 (2002).
7. U. M. B. Marconi and A. Puglisi, Phys. Rev. E 65, 051305 (2002).
8. E. Ben-Naim and P. L. Krapivsky, Eur. Phys. J. E 8, 507 (2002).
9. R. Clelland and C. M. Hrenya, Phys. Rev. E 65, 031301 (2002).
10. S. R. Dahl, C. M. Hrenya, V. Garzo, and J. Dufty, Phys. Rev. E 66, 041301 (2002).
11. H. Wang, G. Jin, and Y. Ma, Phys. Rev. E 68, 031301 (2003).
12. K. Feitosa and N. Menon, Phys. Rev. Lett. 88, 198301 (2002).
13. R. D. Wildman and D. J. Parker, Phys. Rev. Lett. 88, 064301 (2002).
14. A. Santos and J. Dufty, Phys. Rev. Lett. 86, 4823 (2001).
15. A. Santos and J. Dufty, Phys. Rev. E 64, 051305 (2001).
16. F. G. Bridges, A. Hatzes, and D. N. C. Lin, Nature (London) 309, 333 (1984).
17. G. Kuwabara and K. Kono, Jpn. J. Appl. Phys., Part 1 26, 1230 (1987).
18. S. McNamara and E. Falcon, in Ref., pp. 297-326.
19. T. Tanaka, T. Ishida, and Y. Tsuji, Trans. Jpn. Soc. Mech. Eng., Ser. A 57, 456 (1991).
20. S. Luding, E. Cĺment, A. Blumen, J. Rajchenbach, and J. Duran, Phys. Rev. E 50, 4113 (1994).
21. S. Luding, E. Cĺment, J. Rajchenbach, and J. Duran, Europhys. Lett. 36, 247 (1996).
22. N. V. Brilliantov, F. Spahn, J.-M. Hertzsch, and T. Pöschel, Phys. Rev. E 53, 5382 (1996).
23. T. Schwager and T. Pöschel, Phys. Rev. E 57, 650 (1998).
24. W. A. M. Morgado and I. Oppenheim, Phys. Rev. E 55, 1940 (1997).
25. R. Ramírez, T. Pöschel, N. V. Brilliantov, and T. Schwager, Phys. Rev. E 60, 4465 (1999).
26. T. Pöschel, N. V. Brilliantov, and T. Schwager, Physica A 325, 274 (2003).
27. X. Nie, E. Ben-Naim, and S. Y. Chen, Phys. Rev. Lett. 89, 204301 (2002).
28. M. Abramowitz and A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
29. P. Resibois and M. de Leener, Classical Kinetic Theory of Fluids (Wiley, New York, 1977).
30. I. Goldhirsch and T. P. C. van Noije, Phys. Rev. E 61, 3241 (2000).
31. J. J. Brey, J. W. Dufty, and M. J. Ruiz-Montero, in Ref., pp. 185-220.
32. J. J. Brey and M. J. Ruiz-Montero, Phys. Rev. E 70, 051301 (2004).
33. S. E. Esipov and T. Pöschel, J. Stat. Phys. 86, 1385 (1997).
34. N. V. Brilliantov and T. Pöschel, Phys. Rev. E 61, 1716 (2000).
35. J. Dufty, J. J. Brey, and J. Lutsko, Phys. Rev. E 65, 051303 (2002).
36. M. H. Ernst, J. R. Dorfman, W. R. Hoegy, and J. M. J. van Leeuwen, Physica (Amsterdam) 45, 127 (1969).
37. M. H. Ernst and J. R. Dorfman, Physica (Amsterdam) 61, 157 (1972).
38. N. F. Carnahan and K. E. Starling, J. Chem. Phys. 51, 635 (1969).
39. A. Goldshtein and M. Shapiro, J. Fluid Mech. 282, 75 (1995).
40. T. P. C. van Noije and M. H. Ernst, Granular Matter 1, 57 (1998).
41. T. Pöschel and N. V. Brilliantov, in Ref., pp. 129-160.
42. N. V. Brilliantov and T. Pöschel, Phys. Rev. E 61, 2809 (2000).
43. M. Huthmann, J. Orza, and R. Brito, Granular Matter 2, 189 (2000).
44. H. Nakanishi, Phys. Rev. E 67, 010301 (R) (2003).
45. N. V. Brilliantov and T. Pöschel, Phys. Rev. E 67, 061304 (2003).
46. N. V. Brilliantov and T. Pöschel, Phys. Rev. E 61, 5573 (2000).
47. J. J. Brey, M. J. Ruiz-Montero, and R. Garcia-Rojo, Phys. Rev. E 60, 7174 (1999).
48. J. J. Brey, M. J. Ruiz-Montero, D. Cubero, and R. Garcia-Rojo, Phys. Fluids 12, 876 (2000).
49. Granular Gas Dynamics, edited by Vol. 624 of, T. Pöschel, and, N. V. Brilliantov, Lecture Notes in Physics. (Springer, Berlin, 2003).