Response of a hexagonal granular packing under a localized external force

Europhysics Letters

Volumn 71, Issue 1, 2005, Pages 70-76

  Ostojic, S ^a   Panja, D ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21644465449     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i2004-10530-9     Document Type: Article

References (31)

1. JAEGER H. M. et al., Rev. Mod. Phys., 68 (1996) 1259;
2. DE GENNES P. G., Rev. Mod. Phys., 71 (1999) 374.
3. BOUCHAUD J.-P., in Les Houches, Summer School, Session LXX VII, edited by BARRAT J. L. et al. (Springer-EDP Sciences) 2003. See also references cited therein.
4. VANEL L. et al., Phys. Rev. E, 60 (1999) R5040.
5. MUETH D. M. et al., Phys. Rev. E, 57 (1998) 3164;
6. BLAIR D. L. et al., Phys. Rev. E, 63 (2001) 041304;
7. RADJAI F. et al., Phys. Rev. Lett., 77 (2001) 274.
8. COPPERSMITH S. N. et al., Phys. Rev. E, 53 (1996) 4673.
9. NEDDERMAN R. M., Statics and Kinematics of Granular Materials (Cambridge University Press) 1982.
10. GOLDENBERG C. et al., Phys. Rev. Lett., 89 (2002) 084302;
11. GOLDHIRSCH I. et al., Eur. Phys. J. E, 9 (2002) 245.
12. REYDELLET G. and CLÉMENT E., Phys. Rev. Lett., 86 (2001) 3308.
13. SERERO D. et al., Eur. Phys. J. E, 6 (2001) 169.
14. ATMAN A. et al., cond-mat/0501118.
15. GENG J. et al., Phys. Rev. Lett., 87 (2001) 035506.
16. GENG J. et al., Physica D, 182 (2003) 274.
17. MUEGGENBURG N. W. et al., Phys. Rev. E, 66 (2002) 031304.
18. EDWARDS S. F. et al., Physica A, 157 (1989) 1080.
19. EDWARDS S. F. et al., Physica A, 302 (2001) 162.
20. MAKSE H. A. et al., Nature, 415 (2002) 614.
21. SNOEIJER J. H. et al., Phys. Rev. Lett., 92 (2004) 054302.
22. For frictionless rigid spherical grains, the number of forces is exactly equal to the number of equations [19]. Numerical studies [20] however find that in the limit of large but finite rigidity the number of equations is always less than the number of contacts, and this is what we assume here.
23. MOUKARZEL C. F., Phys. Rev. Lett., 81 (1998) 1634;
24. TKACHENKO A. V. et al., Phys. Rev. E, 60 (1999) 687.
25. SILBERT L. E. et al., Phys. Rev. E, 65 (2002) 031304.
26. UNGER T. et al., cond-mat/0403089.
27. (i,j+1) for 1 ≤ j < p.
28. OSTOJIC S. and PANJA D., J. Stat. Mech., P01011 (2005).
29. OSTOJIC S. and PANJA D., to be published in Proceedings of Powders and Grains 2005, cond-mat/0503752.
30. (i,j)〉 forces are non-zero everywhere, but they are not shown in fig. 3(a).
31. BRETON L. et al., Europhys. Lett., 60 (2002) 813.