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Density fluctuations in a model for vibrated granular media

Mario Nicodemi1,2, Antonio Coniglio1,2, and Hans J. Herrmann1,3

  • 1PMMH ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France
  • 2Dipartimento di Scienze Fisiche, Università di Napoli “Federico II,” INFM and INFN Sezione di Napoli, Mostra d’Oltremare, Padiglione 19, 80125 Napoli, Italy
  • 3ICA 1, Universität Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany

Phys. Rev. E 59, 6830 – Published 1 June, 1999

DOI: https://doi.org/10.1103/PhysRevE.59.6830

Abstract

This paper presents the study of density fluctuations in a model for vibrated granular media. Their microscopic origin is shown to be linked to the microscopic disorder in grains packing. Varying vibrations amplitude and duration, several regimes are found for density relaxation. Its power spectrum is well described by power laws.

References (25)

  1. H.M. Jaeger and S.R. Nagel, Science 255, 1523 (1992); H.M. Jaeger, S.R. Nagel, and R.P. Behringer, Photochem. Photobiol. 49, 32 (1996); Rev. Mod. Phys. 68, 1259 (1996).
  2. Disorder and Granular Media, edited by D. Bideau and A. Hansen (North-Holland, Amsterdam, 1993); Physics of Dry Granular Media, edited by H.J. Herrmann (Kluwer Academic, Dordrecht, 1998).
  3. C.-h. Liu, S.R. Nagel, D.A. Schecter, S.N. Coppersmith, S. Majumdar, O. Narayan, and T.A. Witten, Science 269, 513 (1995).
  4. B. Miller, C. O’Hern, and R.P. Behringer, Phys. Rev. Lett. 77, 3110 (1996).
  5. G.W. Baxter, R. Leone, and R.P. Behringer, Europhys. Lett. 21, 569 (1993).
  6. A. Ngadi, J. Rajchenbach, E. Clement, and J. Duran (unpublished).
  7. J.B. Knight, C.G. Fandrich, C. Ning Lau, H.M. Jaeger, and S.R. Nagel, Phys. Rev. E 51, 3957 (1995).
  8. E. Ben-Naim, J.B. Knight, and E.R. Nowak (unpublished).
  9. E.R. Nowak, J.B. Knight, M. Povinelli, H.M. Jaeger, and S.R. Nagel, Powder Technol. 94, 79 (1997).
  10. G.W. Baxter, R.P. Behringer, T. Fagert, G.A. Johnson, Phys. Rev. Lett. 62, 2825 (1989).
  11. J. Andrade, C. Trevino, and A. Medina, Phys. Lett. A 223, 105 (1996).
  12. S. Horikawa, A. Nakahara, T. Nakayama, and M. Matsushita, J. Phys. Soc. Jpn. 6, 1870 (1995).
  13. S.F. Edwards, J. Stat. Phys. 62, 889 (1991); A Mehta and S.F. Edwards, Physica A 157, 1091 (1989).
  14. T. Boutreux and P.G. de Gennes, Physica A 244, 59 (1997).
  15. H. Hayakawa and D.C. Hong, Phys. Rev. Lett. 78, 916 (1999).
  16. A. Rosato, K.J. Strandburg, F. Prinz, and R.H. Swendsen, Phys. Rev. Lett. 58, 1038 (1987).
  17. T.A.J. Duke, G.C. Barker, and A. Mehta, Europhys. Lett. 13, 19 (1990); A. Mehta and G.C. Barker, Phys. Rev. Lett. 67, 394 (1991).
  18. R. Jullien, P. Meakin, and A. Pavlovitch, Phys. Rev. Lett. 69, 640 (1992).
  19. M. Nicodemi, A. Coniglio, and H.J. Herrmann, Phys. Rev. E 55, 3962 (1997); Physica A 240, 405 (1997); J. Phys. A 30, L379 (1997).
  20. E. Caglioti, H.J. Herrmann, V. Loreto, and M. Nicodemi, Phys. Rev. Lett. 79, 1575 (1997); M. Nicodemi, Phys. Rev. Lett. (to be published); e-print cond-mat/980346.
  21. M. Nicodemi, J. Phys. I 7, 1358 (1997).
  22. M. Nicodemi and A. Coniglio, J. Phys. A 30, L187 (1997); Phys. Rev. E 56, R39 (1997).
  23. J. Arenzon, M. Nicodemi, and M. Sellitto, J. Phys. I 6, 1143 (1996).
  24. K. Binder and A.P. Young, Rev. Mod. Phys. 58, 801 (1986).
  25. G. Adam and J.H. Gibbs, J. Chem. Phys. 43, 139 (1965).

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