Dynamics of deviations from the Gaussian state in a freely cooling homogeneous system of smooth inelastic particles

Granular Matter

Volumn 2, Issue 4, 2000, Pages 189-199

  Huthmann, M ^a   Orza, José A G ^b   Brito, Ricardo ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

High energy tails; Inelastic particles; Non gaussian behavior; Velocity distribution

Indexed keywords

EID: 0347794882     PISSN: 14345021     EISSN: 14347636     Source Type: Journal    
DOI: 10.1007/s100350000047     Document Type: Article

References (29)

1. I. Goldhirsch & G. Zanetti, Clustering instability in dissipative gases. Phys. Rev. Lett. 70 (1993), p. 1619
2. I. Goldhirsch, M.-L. Tan & G. Zanetti, Molecular dynamical study of granular fluids I: the unforced granular gas in two dimensions. J. Sci. Comput. 8 (1993), p. 1
3. P. Deltour & J. L. Barrat, Quantitative study of a freely cooling granular medium. J. Phys. I France 7 (1997), p. 137
4. S. E. Esipov & T. Pöschel, The granular phase diagram. J. Stat. Phys. 86 (1997), p. 1385
5. S. McNamara & W. R. Young, Dynamics of a freely evolving, two-dimensional granular medium. Phys. Rev. E 53 (1990), p. 5089
6. T. P. C. van Noije, M. H. Ernst, R. Brito & J. A. G. Orza, Mesoscopic theory of granular fluids. Phys. Rev. Lett. 79 (1997), p. 411
7. J. A. G. Orza, R. Brito, T. P. C. van Noije & M. H. Ernst, Patterns and long range correlations in idealized granular flows. Int. J. Mod. Phys. C 8 (1997), p. 953
8. T. P. C. van Noije, M. H. Ernst & R. Brito, Spatial correlations in compressible granular flows. Phys. Rev. E 57 (1998), R4891. T. P. C. van Noije & M. H. Ernst, Cahn-Hilliard theory for unstable granular fluids. Phys. Rev. E 61 (2000), p. 1765
9. T. P. C. van Noije, M. H. Ernst & R. Brito, Spatial correlations in compressible granular flows. Phys. Rev. E 57 (1998), R4891. T. P. C. van Noije & M. H. Ernst, Cahn-Hilliard theory for unstable granular fluids. Phys. Rev. E 61 (2000), p. 1765
10. A. Goldshtein & M. Shapiro, Mechanics of collisional motion of granular materials. Part 1. General hydrodynamic equations. J. Fluid Mech. 282 (1995), p. 75
11. T. P. C. van Noije & M. H. Ernst, Velocity distributions in homogeneously cooling and heated granular fluids. Gran. Matt. 1 (1998), p. 57
12. N. V. Brilliantov & T. Pöschel, Deviation from Maxwell distribution in granular gases with constant restitution co-efficient. Phys. Rev. E 61 (2000), p. 2809
13. J. J. Brey, M. J. Ruiz-Montero & D. Cubero, Homogeneous cooling state of a low-density granular flow. Phys. Rev. E 54 (1996), p. 3664
14. N. V. Brilliantov & T. Pöschel, Velocity distribution in granular gases of viscoelastic particles. cond-mat Phys Rev E, 61, 2000, p. 5573
15. J. J. Brey, D. Cubero & M. J. Ruiz-Montero, High energy tail in the velocity distribution of a granular gas. Phys. Rev. E 59 (1999), p. 1256
16. W. Losert, D. G. W. Cooper, J. Deltour, A. Kudrolli & J. P. Gollub, Velocity statistics in excited granular media. Chaos, 9, 1999, p. 682
17. J. M. Montanero & A. Santos, Computer simulation of uniformly heated granular fluids, to be published in Granular Matter, cond-mat/0002323, (2000)
18. W. Magnus, F. Oberhettinger & R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics. Springer, 1966
19. S. Chapman & T. G. Cowling, The Mathematical Theory of Nonuniform Gases. Cambridge University Press, London, (1960)
20. P. K. Haff, Grain flow as a fluid-mechanical phenomenon. J. Fluid Mech. 134 (1983), p. 401
21. M. P. Allen & D. J. Tildesley, Computer Simulation of Liquids. Clarendon Press, Oxford, (1989)
22. B. D. Lubachevsky, How to simulate billards and similar systems. J. Comp. Phys. 94 (1991), p. 255
23. R. Brito & M. H. Ernst, Extension of Haff's cooling law in granular flows. Europhys. Lett. 43 (1998), p. 497
24. S. Luding, M. Müller & S. McNamara, The validity of "molecular chaos" in granular flows. In World Congress on Particle Technology (Inst. of Chem. Eng., Davis Building, 165-189 Railway Terrace, Rugby CV21 3HQ, UK) (1998), ISBN 0-85295-401-9
25. J. A. G. Orza & R. Brito, (in preparation)
26. S. G. Eubank & J. D. Farmer, Introduction to nonlinear physics. Springer, New York, (1997), p. 106-151
27. S. Luding, M. Huthmann, S. McNamara & A. Zippelius, Homogeneous cooling of rough dissipative particles: theory and simulations. Phys. Rev. E 58 (1998), p. 3416
28. T. Aspehmeier, M. Huthmann & A. Zippelius, Free cooling of particles with rotational degrees of freedom, to be published in Granular Matter, Lecture Notes in Physics. Eds.: T. Pöschel and S. Luding, Springer-Verlag, (2000)
29. O. Herbst, M. Huthmann, & A. Zippelius, Dynamics of inelastically colliding spheres with Coulomb friction: relaxation of translational and rotational energy, to be published in Granular Matter, cond-mat/9911306, (2000)