Skip to main content
Log in

Cooling kinetics of a granular gas of viscoelastic particles

  • Published:
Moscow University Physics Bulletin Aims and scope

Abstract

The evolution of a granular gas of viscoelastic particles in the homogeneous cooling state is studied. The velocity distribution function of granular particles and the time dependence of the mean kinetic energy of particles (granular temperature) are found. The noticeable deviation of the distribution function from the Maxwell distribution and its non-monotonous evolution are established. The perturbation theory with respect to the small dispersion parameter is elaborated and the analytical expressions for the asymptotic time dependence of the velocity distribution function and the granular gas temperature are derived.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H. Hinrichsen and D. E. Wolf, The Physics of Granular Media (Wiley, Berlin 2004).

    Book  Google Scholar 

  2. H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996).

    Article  ADS  Google Scholar 

  3. N. V. Brilliantov and T. Pöschel, Kinetic Theory of Granular Gases (Oxford University Press, Oxford, 2004).

    MATH  Google Scholar 

  4. A. Barrat, E. Trizac, and M. H. Ernst, Phys. Cond. Matter 17, 2429 (2005).

    Article  ADS  Google Scholar 

  5. T. Pöschel and S. Luding, Granular Gases 564: Lecture Notes in Physics (Springer, Berlin, 2001).

    Google Scholar 

  6. T. Poeschel and N. V. Brilliantov, Granular Gas Dynamics Vol. 624: Lecture Notes in Physics (Springer, Berlin, 2003).

    Google Scholar 

  7. I. Goldhirsch, Ann. Rev. Fluid Mech. 35, 267 (2003).

    Article  ADS  MathSciNet  Google Scholar 

  8. R. Greenberg and A. A. Brahic, Planetary Rings (Arizona University Press, Tucson, 1984).

    Google Scholar 

  9. W. Goldsmit, The Theory and Physocal Behavior of Colliding Solids (Arnold, London, 1960).

    Google Scholar 

  10. F. G. Bridges, A. Hatzes, and D. N. C. Lin, Nature 309, 333 (1984).

    Article  ADS  Google Scholar 

  11. G. Kuwabara and K. Kono, J. Appl. Phys. Part 1 26, 1230 (1987).

    Article  Google Scholar 

  12. R. Ramirez, T. Pöschel and N. V. Brilliantov, Phys. Rev. E 60, 4465 (1999).

    Article  ADS  Google Scholar 

  13. N. V. Brilliantov, F. Spahn, J.-M. Hertsch, and T. Poeschel, Phys. Rev. E 53, 5382 (1996).

    Article  ADS  Google Scholar 

  14. T. Schwager and T. Pöschel, Phys. Rev. E 57, 650 (1998).

    Article  ADS  Google Scholar 

  15. A. Goldshtein and M. Shapiro, J. Fluid Mech. 282, 75 (1995).

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. T. P. C. van Noije and M. H. Ernst, Granular Mater. 1, 57 (1998).

    Article  Google Scholar 

  17. M. Huthmann, J. A. Orza, and R. Brito, Granular Mater. 2, 189 (2000).

    Article  Google Scholar 

  18. N. V. Brilliantov and T. Pöschel, Europhys. Lett. 74, 424(2006).

    Article  ADS  Google Scholar 

  19. E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Moscow, 1979) [in Russian].

  20. N. V. Brilliantov and O. P. Revokatov, Molecular Dynamics of Disordered Media (Moscow, 1996) [In Russian].

  21. R. Brito and M. H. Ernst, Europhys. Lett. 43, 497 (1998).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. S. Bodrova.

Additional information

Original Russian Text © A.S. Bodrova, N.V. Brilliantov, 2009, published in Vestnik Moskovskogo Universiteta. Fizika, 2009, No. 2, pp. 25–28.

About this article

Cite this article

Bodrova, A.S., Brilliantov, N.V. Cooling kinetics of a granular gas of viscoelastic particles. Moscow Univ. Phys. 64, 128–132 (2009). https://doi.org/10.3103/S0027134909020064

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027134909020064

Key words

Navigation