Nonlinear analysis of the shearing instability in granular gases

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

Volumn 62, Issue 3 B, 2000, Pages 3836-3842

  Soto, R ^a   Mareschal, M ^a   Mansour, M Malek ^b  

^a Centre Europeen de Calcul Atomique et Moleculaire   (France)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; COOLING; FLOW PATTERNS; HYDRODYNAMICS; MATHEMATICAL MODELS; MOLECULAR DYNAMICS; NONLINEAR EQUATIONS;

GRANULAR GAS; NONLINEAR ANALYSIS;

GAS DYNAMICS;

EID: 0034271217     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.3836     Document Type: Article

References (29)

1. C.S. Campbell, Annu. Rev. Fluid Mech. 22, 57 (1990).
2. H.M. Jaeger and S.R. Nagel, Science 255, 1523 (1992).
3. F. Melo, P.B. Umbanhowar, and H.L. Swinney, Phys. Rev. Lett. 72, 172 (1994).
4. P.B. Umbanhowar, F. Melo, and H.L. Swinney, Nature (London) 382, 793 (1996).
5. H.M. Jaeger, S.R. Nagel, and R.P. Behringer, Phys. Today 49 (4), 32 (1996).
6. J.S. Olafsen and J.S. Urbach, Phys. Rev. Lett. 81, 4369 (1998).
7. E. Falcon, R. Wunenburger, P. Evesque, S. Fauve, C. Chabot, Y. Garrabos, and D. Beysens, Phys. Rev. Lett. 83, 440 (1999).
8. R. Wildman, J. Huntley, and J.-P. Hansen, Phys. Rev. E 60, 7066 (1999).
9. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993).
10. S. McNamara and W.R. Young, Phys. Rev. E 53, 5089 (1996).
11. M. Müller, S. Luding, and H.J. Herrmann, in Friction, Arching and Contact Dynamics, edited by D.E. Wolf and P. Grassberger (World Scientific, Singapore, 1997).
12. P. Zamankhan, A. Mazouchi, and P. Sarkomaa, Appl. Phys. Lett. 71, 3790 (1997).
13. E.L. Grossman, T. Zhou, and E. Ben-Naim, Phys. Rev. E 55, 4200 (1997).
14. D.C. Rapaport, Physica A 249, 232 (1998).
15. R. Soto, M. Mareschal, and D. Risso, Phys. Rev. Lett. 83, 5003 (1999).
16. J.J. Brey, F. Moreno, and J.W. Dufty, Phys. Rev. E 54, 445 (1996).
17. T.P.C. van Noije and M.H. Ernst, Granular Matter 1, 57 (1998).
18. P.K. Haff and J. Fluid, J. Fluid Mech. 134, 401 (1983).
19. J.J. Brey, M.J. Ruiz-Montero, and D. Cubero, Phys. Rev. E 54, 3664 (1996).
20. T.P.C. van Noije, M.H. Ernst, E. Trizac, and I. Pagonabarraga, Phys. Rev. E 59, 4326 (1999).
21. P. Deltour and J.-L. Barrat, J. Phys. I 7, 137 (1997).
22. J.T. Jenkins and M.W. Richman, Arch. Ration. Mech. Anal. 87, 355 (1985).
23. J.J. Brey, M. Ruiz-Montero, and D. Cubero, Phys. Rev. E 60, 3150 (1999).
24. J.T. Jenkins and S.B. Savage, J. Fluid Mech. 130, 187 (1983).
25. C. Bizon, M.D. Shattuck, J.B. Swift, and H.L. Swinney, Phys. Rev. E 60, 4340 (1999).
26. H. Haken, Synergetics: An Introduction (Springer-Verlag, Berlin, 1977).
27. G. Nicolis, Introduction to Nonlinear Science (Cambridge University Press, Cambridge, 1995).
28. M. Marín, D. Risso, and P. Cordero, J. Comput. Phys. 109, 306 (1993).
29. J.V. Sengers, Phys. Fluids 9, 1333 (1966).