Application of simple models to the study of nonequilibrium behaviour of inelastic gases

Phase Transitions

Volumn 77, Issue 8-10, 2004, Pages 863-888

  Marconi, Umberto Marini Bettolo ^a   Puglisi, Andrea ^b   Baldassarri, Andrea ^c  

^a UNIVERSITY OF CAMERINO   (Italy)

^b UNIVERSITÉ PARIS SUD   (France)

^c UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

Granular materials; Inelastic gas; Inelastic Maxwell model; Lattice model

Indexed keywords

COMPUTER SIMULATION; CRYSTAL LATTICES; ELASTICITY; GRANULAR MATERIALS; HYDRODYNAMICS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; MOLECULAR DYNAMICS; MOLECULAR STRUCTURE;

INELASTIC GAS; INELASTIC MAXWELL MODEL (IMM); LATTICE MODEL; LINEAR STABILITY ANALYSIS;

GAS DYNAMICS;

EID: 11144304630     PISSN: 01411594     EISSN: None     Source Type: Journal    
DOI: 10.1080/01411590410001690927     Document Type: Article

References (36)

1. Baldassarri, A., Marini Bettolo Marconi, U. and Puglisi, A. (2001). Models of freely evolving granular gases. Advances Complex Systems, 4, 321.
2. Baldassarri, A., Marini Bettolo Marconi, U. and Puglisi, A. (2002b). Kinetic models of inelastic gases. Math. Mod. Meth. Appl. S., 12, 965.
3. Baldassarri, A., Marini Bettolo Marconi, U. and Puglisi, A. (2002a). Influence of correlations on the velocity statistics of scalar granular gases. Europhys. Lett., 58, 14.
4. Ben-Naim, E., Chen, S.Y., Doolen, G.D. and Redner, S. (1999). Shock-like dynamics of inelastic gases. Phys. Rev. Lett., 83, 4069.
5. Ben-Naim, E. and Krapivsky, P. (2002). Scaling, multiscaling, and nontrivial exponents in inelastic collision processes. Phys. Rev. E, 66, 011309.
6. Ben-Naim, E. and Krapivsky, P.L. (2000). Multiscaling in infinite dimensional collision processes. Phys. Rev. E., 61, R5.
7. Benedetto, D. Caglioti, E. and Pulvirenti, M. (1997). Kinetic equations for granular media. Math. Mod. and Num. An., 31, 615.
8. Bobylev, A.V. (1975). Proc. USSR Acad. Sci., 225, 1041.
9. Bray, A.J. (1994). Theory of phase ordering kinetics. Adv. Phys., 43, 357.
10. Brey, J.J., Dufty, J.W., Kim, C.S. and Santos, A. (1998). Hydrodynamics for granular flow at low density. Phys. Rev. E, 58, 4638.
11. Brey, J.J., Moreno, F. and Dufty, J.W. (1996). Model kinetic equation for low-density granular flow. Phys. Rev. E., 54, 445.
12. Das, S.K. and Puri, S. (2003). Pattern formation in the inhomogeneous cooling state of granular fluids. Europhys. Lett., 61, 749; (2003). Kinetics of inhomogeneous cooling in granular fluids. Phys. Rev. E, 68, 011302.
13. Das, S.K. and Puri, S. (2003). Pattern formation in the inhomogeneous cooling state of granular fluids. Europhys. Lett., 61, 749; (2003). Kinetics of inhomogeneous cooling in granular fluids. Phys. Rev. E, 68, 011302.
14. Ernst, M.H. (1981). Nonlinear model-Boltzmann equations and exact solutions. Phys. Rep., 78, 1.
15. Ernst. M.H. (2002). Scaling solutions of inelastic Boltzmann equations with over-populated high energy tails. J. Stat. Phys., 109, 407.
16. Ernst, M.H. and Brito, R. (2002). High-energy tails for inelastic maxwell models. Europhys. Lett., 58, 182.
17. Esipov, S.E. and Pöschel, T. (1997). J. Stat. Phys., 86, 1385.
18. Frisch, U. and Bee, J. (2001). Burgulence. In: Lesieur, M., Yaglom, A. and David, F. (Eds.), Proceedings of Les Hauches 2000 New Trends in Turbulence. Springer EDP-Science, Heidelberg.
19. Goldhirsch, I. (1999). Scales and kinetics of granular flows. Chaos, 9, 659.
20. Goldhirsch, I. and Zanetti, G. (1993). Clustering instability in dissipative gases. Phys. Rev. Lett., 70, 1619.
21. Huthmann, M., Orza, J.A.G. and Brito, R. (2000). Dynamics of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastic particles. Granular Matter, 2, 189.
22. Krook, M. and Wu, T.T. (1976). Formation of Maxwellian tails. Phys. Rev. Lett., 36, 1107.
23. Krook, M. and Wu, T.T. (1977). Exact solution of Boltzmann equations for multicomponent systems. Phys. Rev. Lett., 38, 991.
24. Marini Bettolo Marconi, U. and Puglisi, A. (2002a). Mean field model of free cooling inelastic mixtures. Phys. Rev. E, 65, 051305.
25. Marini Bettolo Marconi, U. and Puglisi, A. (2002b). Steady state properties of a mean-field model of driven inelastic mixtures. Phys. Rev. E, 66, 011301.
26. Nakanishi, H. (2002). Velocity distribution of inelastic granular gas in homogeneous cooling state. Phys. Rev. E, 67, 010301.
27. Nie, X., Ben-Naim, E. and Chen, S. (2002). Dynamics of freely cooling granular gases. Phys. Rev. Lett., 89, 204301.
28. Ostojic, S., Panja, D. and Nienhuis, B. Clustering in a one-dimensional inelastic lattice gas. cond-mat/ 0310493, to appear in Phys. Rev. E.
29. Pöschel, T., Brilliantov, N.V. and Schwager, T. (2002). Violation of molecular chaos in dissipative gases. Int. J. Mod. Phys. C, 13, 1263.
30. Pöschel, T. and Luding, S. (2000). Granular Gases. Springer Verlag, Berlin.
31. Porod, G. (1951). Die Rontgenkleinwinkelstreuung von dichtgepackten kolloiden Systemen. Kolloid Z., 124, 83.
32. Ulam, S. (1980). On the operations of pair production, transmutations and generalized random walk. Adv. Appl. Math., 1, 7.
33. van Noije, T.P.C., Ernst, M.H., Brito, R. and Orza, J.A.G. (1997). Mesoscopic theory of granular fluids. Phys. Rev. Lett., 79, 411.
34. van Noije, T.P.C. and Ernst, M.H. (1998a). Ring kinetic theory for an idealized granular gas. Physica A, 251, 266.
35. van Noije, T.P.C. and Ernst, M.H. (1998b). Velocity distributions in homogeneous granular fluids: the free and the heated case. Granular Matter., 1, 57.
36. Vicente Garzó and James Dufty (1999). Homogeneous cooling state for a granular mixture. Phys. Rev. E, 60, 5706.