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The European Physical Journal Special Topics

, Volume 146, Issue 1, pp 323–330 | Cite as

Symmetry breaking and clustering in a vibrated granular gas with several macroscopically connected compartments

  • J. J. BreyEmail author
  • R. García-Rojo
  • F. Moreno
  • M. J. Ruiz-Montero
Article

Abstract.

The spontaneous symmetry breaking in a vibro-fluidized low-density granular gas in three connected compartments is investigated. When the total number of particles in the system becomes large enough, particles distribute themselves unequally among the three compartments. Particles tend to concentrate in one of the compartments, the other two having the (relatively small) same average number of particles. A hydrodynamical model that accurately predicts the bifurcation diagram of the system is presented. The theory can be easily extended to the case of an arbitrary number of connected compartments.

Keywords

Symmetry Breaking European Physical Journal Special Topic Bifurcation Diagram Spontaneous Symmetry Breaking Granular System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. H.M. Jaeger, S.R. Nagel, R.P. Behringer, Rev. Mod. Phys. 68, 1259 (1996) Google Scholar
  2. I. Goldhirsch, G. Zanetti, Phys. Rev. Lett. 70, 1619 (1993) Google Scholar
  3. I. Goldhirsch, M.L. Tan, G. Zanetti, J. Sci. Comput. 8, 1 (1993) Google Scholar
  4. S. McNamara, W.R. Young, Phys. Rev. E 50, R28 (1994); 53, 5089 (1996) Google Scholar
  5. W. Losert, D.G.W. Cooper, J.P. Gollub, Phys. Rev. E 59, 5855 (1999) Google Scholar
  6. J.S. Olafsen, J.S. Urbach, Phys. Rev. Lett. 81, 4369 (1998); Phys. Rev. E 60, R2468 (1999) Google Scholar
  7. H.J. Schlichting, V. Nordmeier, Math. Naturwiss. Unterr. 49, 323 (1996) Google Scholar
  8. J. Eggers, Phys. Rev. Lett. 83, 5322 (1999) Google Scholar
  9. D. van der Meer, K. van der Weele, D. Lohse, Phys. Rev. Lett. 88, 174302-1-4 (2002) Google Scholar
  10. R. Mikkelsen, D. van der Meer, K. van der Weele, D. Lohse, Phys. Rev. Lett. 89, 214301-1-4 (2002) Google Scholar
  11. J.J. Brey, F. Moreno, R. García-Rojo, M.J. Ruiz-Montero, Phys. Rev. E 65, 011305-1-4 (2001) Google Scholar
  12. A. Barrat, E. Trizac, Mol. Phys. 101, 1713 (2003) Google Scholar
  13. S. McNamara, J.-L. Barrat, Phys. Rev. E 55, 7767 (1997); S. McNamara, S. Luding, Phys. Rev. E 58, 813 (1998) Google Scholar
  14. J.J. Brey, J.W. Dufty, C.S. Kim, A. Santos, Phys. Rev. E 58, 4638 (1998) Google Scholar
  15. J.J. Brey, M.J. Ruiz-Montero, F. Moreno, Phys. Rev. E 62, 5339 (2000) Google Scholar
  16. E. Livne, B. Meerson, P.V. Sasorov, Phys. Rev. E 65, 021302-1-6 (2002) Google Scholar
  17. J.J. Brey, M.J. Ruiz-Montero, F. Moreno, R. García-Rojo, Phys. Rev. E 65, 061302-1-10 (2002) Google Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • J. J. Brey
    • 1
    Email author
  • R. García-Rojo
    • 1
  • F. Moreno
    • 1
  • M. J. Ruiz-Montero
    • 1
  1. 1.Física Teórica, Facultad de Fisica, Universidad de SevillaSevillaSpain

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