Fluctuating hydrodynamics for driven granular gases

European Physical Journal: Special Topics

Volumn 179, Issue 1, 2009, Pages 123-139

  Maynar, P ^a   de Soria, M I G ^a   Trizac, E ^b  

^a UNIVERSITY OF SEVILLE   (Spain)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77952987088     PISSN: 19516355     EISSN: 19516401     Source Type: Journal    
DOI: 10.1140/epjst/e2010-01198-x     Document Type: Article

References (37)

1. J. W. Dufty, J. Phys.: Condens. Matter 12, A47 (2000).
2. I. Goldhirsch, Annu. Rev. Fluid Mech. 35, 267 (2003).
3. A. Barrat, E. Trizac, M. H. Ernst, J. Phys.: Condens. Matter 17, S2429 (2005).
4. I. S. Aranson, L. S. Tsimring, Rev. Mod. Phys. 78, 641 (2006).
5. I. Goldhirsch, G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993).
6. S. McNamara, W. R. Young, Phys. Rev. E 53, 5089 (1996).
7. J. J. Brey, J. W. Dufty, A. Santos, J. Stat. Phys. 87, 1051 (1997).
8. T. P. C. van Noije, M. H. Ernst, R. Brito, Physica A 251, 266 (1998).
9. J. J. Brey, J. W. Dufty, C. S. Kim, A. Santos, Phys. Rev. E 58, 4638 (1998).
10. N. Sela, I. Goldhirsch, J. Fluid Mech. 361, 41 (1998).
11. J. J. Brey, J. W. Dufty, M. J. Ruiz-Montero, in Granular Gas Dynamics, edited by T. Poeschel, N. Brilliantov (Springer, Berlin, 2003).
12. A. Goldshtein, M. Shapiro, J. Fluid. Mech. 282, 75 (1995).
13. P. K. Haff, J. Fluid. Mech. 134, 401 (1983).
14. J. J. Brey, M. I. García de Soria, P. Maynar, EPL 84, 24002(2008).
15. J. J. Brey, P. Maynar, M. I. García de Soria, Phys. Rev. E 79, 051305 (2009).
16. J. J. Brey, et al. (to be published).
17. T. P. C. van Noije, M. H. Ernst, Granular Matter 1, 57 (1998).
18. D. R. M. Williams, F. C. MacKintosh, Phys. Rev. E 54, R9 (1996).
19. A. Puglisi, V. Loreto, U. M. B. Marconi, A. Vulpiani, Phys. Rev. E 59, 5582 (1999).
20. T. P. C. van Noije, M. H. Ernst, E. Trizac, I. Pagonabarraga, Phys. Rev. E 59, 4326 (1999).
21. I. Pagonabarraga, E. Trizac, T. P. C. van Noije, M. H. Ernst, Phys. Rev. E 65, 011303 (2002).
22. J. M. Montanero, A. Santos, Granular Matter 2, 53 (2000).
23. S. J. Moon, M. D. Shattuck, J. B. Swift, Phys. Rev. E 64, 031303 (2001).
24. V. Garzó, J. M. Montanero, Physica A 313, 336 (2002).
25. P. Visco, A. Puglisi, A. Barrat, F. van Wijland, E. Trizac, Eur. Phys. J. B 51, 377 (2006).
26. M. H. Ernst, E. Trizac, A. Barrat, J. Stat. Phys. 124, 549 (2006).
27. M. H. Ernst, E. Trizac, A. Barrat, Europhys. Lett. 76, 56 (2006).
28. A. Fiege, T. Aspelmeier, A. Zippelius, Phys. Rev. Lett. 102, 098001 (2009).
29. L. Landau, E. M. Lifshitz, Fluid Mechanics (Pergamon Press, New York, 1959), chapter 17.
30. P. Résibois, M. de Leener, Classical Kinetic Theory of Fluids (Wiley, New York, 1977).
31. M. Bixon, R. Zwanzig, Phys. Rev. 187, 267 (1969).
32. M. I. García de Soria, P. Maynar, E. Trizac, Molec. Phys. 107, 383 (2009).
33. J. J. Brey, M. I. García de Soria, P. Maynar, M. J. Ruiz-Montero, Phys. Rev. E 70, 011302 (2004).
34. A. Baskaran, J. W. Dufty, J. J. Brey, Phys. Rev. E 77, 011920 (2008).
35. R. Cafiero, S. Luding, H. J. Herrmann, Phys. Rev. Lett. 84, 6014 (2000).
36. Note that at the Boltzmann-Langevin level, the noise is assumed white; in the present driven case, it is then shown that the noise for the fluctuating transverse velocity can be considered as white also; this was not the case in the free cooling situation [15].
37. A. Puglisi, A Baldassarri, V. Loreto, Phys. Rev. E 66, 061305 (2002).