Stationary states and energy cascades in inelastic gases

Physical Review Letters

Volumn 94, Issue 13, 2005, Pages

  Ben Naim, E ^a   Machta, J ^b  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COLLISION RATE; GRANULAR SYSTEMS; INELASTIC GASES; VELOCITY SCALES;

CASCADES (FLUID MECHANICS); COLLISION AVOIDANCE; COMPUTER SIMULATION; ELECTRON ENERGY LEVELS; ENERGY DISSIPATION; HYDRODYNAMICS; PATHOLOGY; VELOCITY MEASUREMENT;

GASES;

EID: 18144429880     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.138001     Document Type: Article

References (32)

1. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993).
2. E. Khain and B. Meerson, Europhys. Lett. 65, 193 (2004).
3. E. C. Rericha, C. Bizon, M. D. Shattuck, and H. L. Swinney, Phys. Rev. Lett. 88, 014302 (2002).
4. A. Samadani, L. Mahadevan, and A. Kudrolli, J. Fluid Mech. 452, 293 (2002).
5. E. Ben-Naim, S. Y. Chen, G. D. Doolen, and S. Redner, Phys. Rev. Lett. 83, 4069 (1999).
6. S. McNamara and W. R. Young, Phys. Fluids A 4, 496 (1992).
7. J. S. Olafsen and J. S. Urbach, Phys. Rev. Lett. 81, 4369 (1998).
8. D. van der Meer, K. van der Weele, and D. Lohse, Phys. Rev. Lett. 88, 174302 (2002).
9. R. D. Wildman and D. J. Parker, Phys. Rev. Lett. 88, 064301 (2002).
10. K. Feitosa and N. Menon, Phys. Rev. Lett. 88, 198301 (2002).
11. A. Kudrolli, M. Wolpert, and J. P. Gollub, Phys. Rev. Lett. 78, 1383 (1997).
12. S. E. Esipov and T. Pöschel, J. Stat. Phys. 86, 1385 (1997).
13. T. P. C. van Noije and M. H. Ernst, Granular Matter 1, 57 (1998); M. H. Ernst and R. Brito, Lect. Notes Phys. 624, 1 (2003).
14. T. P. C. van Noije and M. H. Ernst, Granular Matter 1, 57 (1998); M. H. Ernst and R. Brito, Lect. Notes Phys. 624, 1 (2003).
15. F. Rouyer and N. Menon, Phys. Rev. Lett. 85, 3676 (2000)
16. I. S. Aranson and J. S. Olafsen, Phys. Rev. E 66, 061302 (2002).
17. A. Barrat, T. Biben, Z. Rácz, E. Trizac, and F. van Wrjland, J. Phys. A 35, 463 (2002).
18. P. K. Haff, J. Fluid Mech. 134, 401 (1983).
19. J. T. Jenkins and M. W. Richman, Phys. Fluids 28, 3485 (1985).
20. E. L. Grossman, T. Zhou, and E. Ben-Naim, Phys. Rev. E 55, 4200 (1997).
21. J. J. Brey, J. W. Dufty, C. S. Kim, and A. Santos, Phys. Rev. E 58, 4638 (1998).
22. I. Goldhirsch, Annu. Rev. Fluid Mech. 35, 267 (2003).
23. M. H. Ernst, Phys. Rep. 78, 1 (1981).
24. K. Kohlstedt, A. Snezhko, M. V. Sapoznikov, I. S. Aranson, J. S. Olafsen, and E. Ben-Naim, report, 2004, (to be published).
25. 1/2.
26. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1972).
27. A. V. Bobylev and C. Cercignani, J. Stat. Phys. 106, 1039 (2002).
28. E. Ben-Naim and P. L. Krapivsky, Phys. Rev. E 61, R5 (2000); P. L. Krapivsky and E. Ben-Naim, J. Phys. A 35, L147 (2002).
29. E. Ben-Naim and P. L. Krapivsky, Phys. Rev. E 61, R5 (2000); P. L. Krapivsky and E. Ben-Naim, J. Phys. A 35, L147 (2002).
30. A. Baldassarri, U. M. B. Marconi, and A. Puglisi, Europhys. Lett. 58, 14 (2002).
31. M. H. Ernst and R. Brito, Europhys. Lett. 58, 182 (2002).
32. The system size must be large enough so that finite size scaling effects play no role.