Hydrodynamic transport coefficients of granular gases

Lecture Notes in Physics

Volumn 564, Issue , 2001, Pages 59-78

  Javier Brey, J ^a   Cubero, David ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Boltzmann Equation; Direct Simulation Monte Carlo; Hydrodynamic Description; Molecular Dynamics Result; Nonlinear Boltzmann Equation

Indexed keywords

EID: 85071918789     PISSN: 00758450     EISSN: 16166361     Source Type: Book Series    
DOI: 10.1007/3-540-44506-4_3     Document Type: Chapter

References (31)

1. C. S. Campbell, Annu. Rev. Fluid Mech. 22, 57 (1990).
2. J. J. Brey, J. W. Dufty, and A. Santos, J. Stat. Phys. 87, 1051 (1997).
3. C. K. K. Lun, S. B. Savage, D. J. Jeffrey, and N. Chepurniy, J. Fluid Mech. 140, 223 (1984).
4. J. T. Jenkins and M. W. Richman, Arch. Ration. Mech. Anal. 87, 355 (1985); Phys. Fluids 28, 3485 (1986).
5. N. Sela and I. Goldhirsch, J. Fluid Mech. 361, 41 (1998).
6. A. Goldshtein and M. Shapiro, J. Fluid Mech. 282, 75 (1995).
7. J. J. Brey, J. W. Dufty, C. S. Kim, and A. Santos, Phys. Rev. E 58, 4638 (1998); J. J. Brey and D. Cubero, unpublished.
8. V. Garzó and J. W. Dufty, Phys. Rev. E 59, 5895 (1999).
9. J. A. McLennan, Introduction to Nonequilibrium Statistical Mechanics (Prentice-Hall, New Jersey, 1989).
10. P. Résibois and M. de Leener, Classical Kinetic Theory of Fluids, (John Wiley and Sons, New York, 1977).
11. H. Jaeger, S. Nagel, and R. Behringer, Rev. Mod. Phys. 68, 1250 (1996).
12. V. V. R. Natarajan, M. L. Hunt, and E. D. Taylor, J. Fluid Mech. 304, 1 (1995), and references therein.
13. O. Zik and J. Stavans, Europhys. Lett. 16, 255 (1991).
14. R. D. Wildman, J. M. Huntley, and J.-P. Hansen, Phys. Rev. E, 60, 7066 (1999).
15. C. S. Campbell, J. Fluid Mech. 348, 85 (1997).
16. R. F. Rodríguez, E. Salinas-Rodríguez and J. W. Dufty, J. Stat. Phys. 32, 279 (1983).
17. J. J. Brey, J. W. Dufty, and A. Santos, J. Stat. Phys. 97, 281 (1999).
18. G. Bird, Molecular Gas Dynamics and the Direct Simulation of Gas Flows, (Clrendon Press, Oxford, 1994).
19. M. L. Tan and I. Goldhirsch, Phys. Rev. Lett. 81, 3022 (1998).
20. L. P. Kadanoff, Rev. Mod. Phys. 71, 435 (1999).
21. J. W. Dufty and J. J. Brey, Phys. Rev. Lett. 82, 4566 (1999).
22. J. J. Brey, M. J. Ruiz-Montero, and D. Cubero, Phys. Rev. E 54, 3664 (1996).
23. H. van Beijeren and M. H. Ernst, Physica A 68, 437 (1973); 70, 225 (1973).
24. J. J. Brey, M. J. Ruiz-Montero, and D. Cubero, Europhys. Lett. 48, 359 (1999)
25. D. M. Gass, J. Chem. Phys. 54, 1898 (1971).
26. P. Deltour and J. L. Barrat, J. Phys. 1 7, 137 (1997).
27. J. J. Brey, M. J. Ruiz-Montero, D. Cubero, and R. García-Rojo, Phys. Fluids 12 876 (2000).
28. T. P. C. van Noije and M. H. Ernst, Granular Matter 1, 57 (1998).
29. I. Goldhirsch and G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993); S. McNamara and W. R. Young, Phys. Rev. E 50, R28 (1994).
30. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1984).
31. J. J. Brey, M. J. Ruiz-Montero, D. Cubero, and J. W. Dufty, Phys. Rev. E 60, 7174 (1999).