Green-Kubo relations for granular fluids

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

Volumn 61, Issue 3, 2000, Pages 3241-3244

  Goldhirsch, I ^a   van Noije, T P C ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

GRANULAR MATERIALS;

CONSTITUTIVE RELATIONS; FINITE DENSITY; GRANULAR FLUIDS; GRANULAR GAS; GREEN-KUBO RELATIONS; RESPONSE THEORY;

GASES;

EID: 0000131909     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.3241     Document Type: Article

References (25)

1. M-L. Tan and I. Goldhirsch, Phys. Rev. Lett. 81, 3022 (1998).
2. S. Chapman and T. G. Cowling, The Mathematical Theory of Nonuniform Gases (Cambridge University Press, Cambridge, 1970).
3. N. Sela and I. Goldhirsch, J. Fluid Mech. 361, 41 (1998).
4. cf., eg., A. V. Bobylev, Theor. Math. Phys. 60, 280 (1984)
5. A. N. Gorban and I. V. Karlin, Transp. Theory Stat. Phys. 21, 101 (1992)
6. P. Rosenau, Phys. Rev. A 40, 7193 (1989)
7. M. Slemrod, Arch. Ration. Mech. Anal. 146, 73 (1999).
8. J. J. Brey, J. W. Dufty, C. S. Kim, and A. Santos, Phys. Rev. E 58, 4638 (1998).
9. J. S. Olafsen and J. S. Urbach, Phys. Rev. Lett. 81, 4369 (1998)
10. W. Losert, D. G. W. Cooper, J. Delour, A. Kudrolli, and J. P. Gollub, Chaos 9, 682 (1999).
11. T. P. C. van Noije and M. H. Ernst, Granular Matter 1, 57 (1998).
12. cf., e.g., J. T. Jenkins and M. W. Richman, Phys. Fluids 28, 3485 (1985)
13. C. K. K. Lun and S. B. Savage, J. Appl. Mech. 154, 47 (1987)
14. C. K. K. Lun, J. Fluid Mech. 223, 539 (1991)
15. J. Fluid Mech.J. M. Montanero, V. Garzo, A. Santos, and J. J. Brey, 389, 391 (1999).
16. I. Oppenheim, in Correlation Functions and Quasiparticle Interactions in Condensed Matter, edited by J. Woods Halley (Plenum, New York, 1978) and references therein.
17. D. Ronis, Physica A 99, 403 (1979).
18. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993).
19. T. P. C. van Noije, M. H. Ernst, R. Brito, and J. A. G. Orza, Phys. Rev. Lett. 79, 411 (1997)
20. T. P. C. van Noije, M. H. Ernst, and R. Brito, Phys. Rev. E 57, R4891 (1998).
21. I. Goldhirsch and T. P. C. van Noije (unpublished).
22. A. Goldshtein and M. Shapiro, J. Fluid Mech. 282, 75 (1995).
23. cf., e.g., K. Kawasaki and I. Oppenheim, Phys. Rev. 136, A1519 (1964)
24. J. T. Bartis and I. Oppenheim, Physica (Amsterdam) 74, 1 (1974).
25. R. Zwanzig, Phys. Rev. 129, 486 (1963).