Granular gases

Physica A: Statistical Mechanics and its Applications

Volumn 369, Issue 1, 2006, Pages 143-158

  Zippelius, Annette ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

Free cooling; Kinetic theory of granular gases; Pseudo Liouville operator

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); ENERGY DISSIPATION; KINETIC THEORY; MATHEMATICAL MODELS;

FREE COOLING; KINETIC THEORY OF GRANULAR GASES; PSEUDO LIOUVILLE OPERATOR; RESTITUTION;

GRANULAR MATERIALS;

EID: 33745670124     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.04.012     Document Type: Article

References (52)

1. For a general review see e.g. (a) H. Jaeger, S.R. Nagel, R.P. Behringer, Rev. Mod. Phys. 4 (1996) 1259; (b) H. J. Herrmann et al. (Eds.), Physics of Dry Granular Media, Kluwer, Dordrecht, 1998.
2. For a review of the kinetic theory of gases see e.g. I. Goldhirsch, in: H.J. Herrmann, et al. (Eds.), Physics of Dry Granular Media, Kluwer, Dordrecht, 1998, p. 371; N.V. Brilliantov, T. Pöschel, Kinetic Theory of Granular Gases, Oxford University Press, Oxford, 2004.
3. Jenkins J.T., and Savage S.B. J. Fluid Mech. 130 (1983) 187
4. Lun C.K.K., Savage S.B., Jeffrey D.J., and Chepurniy N. J. Fluid Mech. 140 (1984) 223
5. Lun C.K.K., and Savage S.B. J. Appl. Mech. 54 (1987) 47
6. Lun C.K.K. J. Fluid Mech. 233 (1991) 539
7. Goldshtein A., and Shapiro M. J. Fluid Mech. 282 (1995) 75
8. Chapman S., and Cowling T.G. The Mathematical Theory of Nonuniform Gases (1960), Cambridge University Press, London
9. Hopkins M.A., and Louge M.Y. Phys. Fluids A 3 (1991) 47
10. Goldhirsch I., and Zanetti G. Phys. Rev. Lett. 70 (1993) 1619
11. McNamara S., and Young W.R. Phys. Rev. E 53 (1996) 5089
12. Brito R., and Ernst M.H. Int. J. Mod. Phys. C 8 (1998) 1339
13. van Noije T.P.C., and Ernst M.H. Phys. Rev. E 61 (2000) 1765
14. Hansen J.-P., and McDonald I.R. Theory of Simple Liquids (1986), Academic Press, New York
15. Aspelmeier T., Gerl F., and Zippelius A. In: Herrmann H.J., et al. (Ed). Physics of Dry Granular Media (1998), Kluwer, Dordredcht 407
16. Jenkins J.T., and Richman M.W. Phys. Fluids 28 (1985) 3485
17. Foerster S.F., Louge M.Y., Chang H., and Allia K. Phys. Fluids 6 3 (1994) 1108-1115
18. Walton O.R. In: Roco M.C. (Ed). Particle Two-Phase Flow (1993), Butterworth, London 884-907
19. Herbst O., Huthmann M., and Zippelius A. Granular Matter 2 (2000) 211
20. T. Aspelmeier, M. Huthmann, A. Zippelius, in: S. Luding, Th. Pöschel (Eds.), Granular Matter, Lecture Notes in Physics, Springer, Berlin, 2000.
21. Rapaport D.C. J. Comput. Phys. 34 (1980) 184
22. Ernst M.H., Dorfmann J.R., Hoegy W.R., and van Leeuwen J.M.J. Physica 45 (1969) 127
23. Resibois P., and Lebowitz J.L. J. Stat. Phys. 12 (1975) 483
24. Resibois P. J. Stat. Phys. 13 (1975) 393
25. Leutheusser E. J. Phys. C 15 (1982) 2801
26. Huthmann M., and Zippelius A. Phys. Rev. E 56 (1997) R6275
27. van Noije T.P.C., Ernst M.H., and Brito R. Physica A 251 (1998) 266
28. Brey J.J., Cubero D., and Ruiz-Montero M.J. Phys. Rev. E 54 (1996) 3664
29. Huthmann M., Orza J.A.G., and Brito R. Granular Matter 2 (2000) 189
30. Brilliantiv N.V., and Pöschel T. Phys. Rev. E 61 (2000) 2809
31. Huthmann M., Aspelmeier T., and Zippelius A. Phys. Rev. E 60 (1999) 654
32. Haff P.K. J. Fluid. Mech. 134 (1983) 401
33. van Noije T.P.C., and Ernst M.H. Granular Matter 1 (1998) 57
34. Herbst O., Cafiero R., Zippelius A., Herrmann H.J., and Luding S. Phys. Fluids 17 (2005) 107102
35. Johnson K.L., and Contact Mechanics. Cambridge University Press (1995), Cambridge, UK
36. Gallas J.A.C., Herrmann H.J., and Sokolowski S. Phys. Rev. Lett. 69 (1992) 1371
37. Luding S., Herrmann H.J., and Blumen A. Phys. Rev. E 50 (1994) 3100
38. Brilliantov N.V., Spahn F., Hetzsch J.-M., and Pöschel T. Phys. Rev. E 53 (1996) 5382
39. Bridges F.G., Hatzes A., and Lin D.N.C. Nature (London) 309 (1995) 333
40. Spahn F., Schwarz U., and Kurths J. Phys. Rev. Lett. 78 (1997) 1596
41. Brilliantov N.V., and Pöschel T. Phys. Rev. E 61 (2000) 5573
42. McNamara S., and Falcon E. Phys. Rev. E 71 (2005) 031302
43. Brito R., and Ernst M.H. Europhys. Lett. 43 (1998) 497
44. Ben-Naim E., Chen S.Y., Doolen G.D., and Redner S. Phys. Rev. Lett. 83 (1998) 4069
45. Sela N., and Goldhirsch I. J. Fluid Mech. 361 (1998) 41
46. Brey J.J., Dufty J.W., Kim C.S., and Santos A. Phys. Rev. E 58 (1998) 4638
47. Kadanoff L.P. Rev. Mod. Phys. 71 (1999) 435
48. Luding S. Phys. Rev. E 63 (2001) 042201
49. Herbst O., Müller P., Otto M., and Zippelius A. Phys. Rev. E 70 (2004) 051313
50. Dufty J.W., Brey J.J., and Santos A. Physica A 240 (1997) 212
51. Soto R., Mareschal M., and Risso D. Phys. Rev. Lett. 83 (1999) 5003
52. Herbst O., Müller P., and Zippelius A. Phys. Rev. E 72 (2004) 041303