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Density fluctuations in a model for vibrated granular media
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)
- 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).
- 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).
- C.-h. Liu, S.R. Nagel, D.A. Schecter, S.N. Coppersmith, S. Majumdar, O. Narayan, and T.A. Witten, Science 269, 513 (1995).
- B. Miller, C. O’Hern, and R.P. Behringer, Phys. Rev. Lett. 77, 3110 (1996).
- G.W. Baxter, R. Leone, and R.P. Behringer, Europhys. Lett. 21, 569 (1993).
- A. Ngadi, J. Rajchenbach, E. Clement, and J. Duran (unpublished).
- J.B. Knight, C.G. Fandrich, C. Ning Lau, H.M. Jaeger, and S.R. Nagel, Phys. Rev. E 51, 3957 (1995).
- E. Ben-Naim, J.B. Knight, and E.R. Nowak (unpublished).
- E.R. Nowak, J.B. Knight, M. Povinelli, H.M. Jaeger, and S.R. Nagel, Powder Technol. 94, 79 (1997).
- G.W. Baxter, R.P. Behringer, T. Fagert, G.A. Johnson, Phys. Rev. Lett. 62, 2825 (1989).
- J. Andrade, C. Trevino, and A. Medina, Phys. Lett. A 223, 105 (1996).
- S. Horikawa, A. Nakahara, T. Nakayama, and M. Matsushita, J. Phys. Soc. Jpn. 6, 1870 (1995).
- S.F. Edwards, J. Stat. Phys. 62, 889 (1991); A Mehta and S.F. Edwards, Physica A 157, 1091 (1989).
- T. Boutreux and P.G. de Gennes, Physica A 244, 59 (1997).
- H. Hayakawa and D.C. Hong, Phys. Rev. Lett. 78, 916 (1999).
- A. Rosato, K.J. Strandburg, F. Prinz, and R.H. Swendsen, Phys. Rev. Lett. 58, 1038 (1987).
- 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).
- R. Jullien, P. Meakin, and A. Pavlovitch, Phys. Rev. Lett. 69, 640 (1992).
- 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).
- 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.
- M. Nicodemi, J. Phys. I 7, 1358 (1997).
- M. Nicodemi and A. Coniglio, J. Phys. A 30, L187 (1997); Phys. Rev. E 56, R39 (1997).
- J. Arenzon, M. Nicodemi, and M. Sellitto, J. Phys. I 6, 1143 (1996).
- K. Binder and A.P. Young, Rev. Mod. Phys. 58, 801 (1986).
- G. Adam and J.H. Gibbs, J. Chem. Phys. 43, 139 (1965).