Kinetic approach to granular gases

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

Volumn 59, Issue 5, 1999, Pages 5582-5595

  Puglisi, A ^a   Loreto, V ^a,b,c   Marini Bettolo Marconi, U ^d,e   Vulpiani, A ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

^b ESPCI   (France)

^c ENEA CR Portici   (Italy)

^d UNIVERSITY OF CAMERINO   (Italy)

^e INFN SEZIONE DI PERUGIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 17944372983     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.5582     Document Type: Article

References (44)

1. H.M. Jaeger and S.R. Nagel, Science 255, 1523 (1992)
2. H.M. Jaeger, S.R. Nagel, and R.P. Behringer, Phys. Today 49, 32 (1996)
3. H.M. Jaeger, S.R. Nagel, and R.P. Behringer, Rev. Mod. Phys. 68, 1259 (1996), and references therein.
4. C.S. Campbell, Annu. Rev. Fluid Mech. 22, 57 (1990).
5. S.R. de Groot and P. Mazur, Non-equilibrium Thermodynamics (Dover, New York, 1984).
6. R.A. Bagnold, Proc. R. Soc. London, Ser. A 225, 49 (1954).
7. P.K. Haff, J. Fluid Mech. 134, 401 (1983).
8. S. Chapman and T.G. Cowling, The Mathematical Theory of Non-uniform Gases, 3rd ed. (Cambridge University Press, New York, 1970).
9. C.K.K. Lun, S.B. Savage, D.J. Jeffrey, and N. Chepurniy, J. Fluid Mech. 140, 223 (1984).
10. J.T. Jenkins and M.W. Richman, Phys. Fluids 28, 3485 (1985).
11. S.E. Esipov and T. Pöschel, J. Stat. Phys. 86, 1385 (1997).
12. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993).
13. S. McNamara and W.R. Young, Phys. Fluids A 4, 496 (1992).
14. S. McNamara and W.R. Young, Phys. Fluids A 5, 34 (1993).
15. S. McNamara and W.R. Young, Phys. Rev. E 50, R28 (1994).
16. S. McNamara and W.R. Young, Phys. Rev. E 53, 5089 (1996).
17. S. Luding, M. Huthmann, S. McNamara, and A. Zippelius, Phys. Rev. E 58, 3416 (1998).
18. Y. Du, H. Li, and L.P. Kadanoff, Phys. Rev. Lett. 74, 1268 (1995).
19. E.L. Grossman and E. Roman, Phys. Fluids 8, 3218 (1996).
20. D.R.M. Williams and F.C. MacKintosh, Phys. Rev. E 54, R9 (1996).
21. M.R. Swift, M. Boamfa, S.J. Cornell, and A. Maritan, Phys. Rev. Lett. 80, 4410 (1998).
22. G. Peng and T. Ohta, e-print cond-mat/9710119 (unpublished).
23. D.R.M. Williams, Physica A 233, 718 (1996)
24. D.R.M. WilliamsAust. J. Phys. 50, 425 (1997).
25. S.E. Esipov and T. Pöschel, J. Stat. Phys. 86, 1385 (1997).
26. T.P.C. van Noije and M.H. Ernst, Granular Matter 1, 57 (1998).
27. J.S. Olafsen and J.S. Urbach, Phys. Rev. Lett. 81, 4369 (1998).
28. N.V. Brilliantov, F. Spahn, J. Hertzsch, and T. Pöschel, Phys. Rev. E 53, 5382 (1996)
29. N.V. Brilliantov and T. Pöschel, e-print cond-mat/9803387 (unpublished).
30. S. McNamara and S. Luding, Phys. Rev. E 58, 813 (1998)
31. Phys. Rev. ES. McNamaraS. Luding58, 2247 (1998).
32. K. Geisshirt, P. Padilla, E. Praestgaard, and S. Toxvaerd, Phys. Rev. E 57, 1929 (1998).
33. A. Puglisi, V. Loreto, U. Marini Bettolo Marconi, A. Petri, and A. Vulpiani, Phys. Rev. Lett. 81, 3848 (1998);A. Puglisi, Tesi di Laurea, University of Rome, La Sapienza, 1997.
34. S. Chandrasekhar, Rev. Mod. Phys. 15, 1 (1948).
35. G.M. Homsy, R. Jackson, and J.R. Grace, J. Fluid Mech. 236, 477 (1992)
36. M. Ishida, T. Shirai, and A. Nishiwaki, Powder Technol. 27, 1 (1980).
37. P. Grassberger and I. Procaccia, Phys. Rev. Lett. 50, 346 (1983).
38. H.J. Kreuzer, Nonequilibrium Thermodynamics and its Statistical Foundations (Clarendon Press, Oxford, 1981), Chap 7.
39. G.A. Bird, Phys. Fluids 13, 2676 (1970).
40. W. Wagner, J. Stat. Phys. 66, 1011 (1992)
41. C. Cercignani, R. Illner, and M. Pulvirenti, The Mathematical Theory of Dilute Gases (Springer-Verlag, Berlin, 1994).
42. We are indebted to Davide Cassi who recalled the solution of this combinatorial problem.
43. D. Benedetto, E. Caglioti, J.A. Carrillo, and M. Pulvirenti, J. Stat. Phys. 91, 5/6 (1998)
44. D. Benedetto, E. Caglioti, and M. Pulvirenti, Math. Modell. Numer. Anal. 31, 5, 615 (1997);D. Benedetto, E. Caglioti, F. Golse, and M. Pulvirenti (unpublished).