Properties of layer-by-layer vector stochastic models of force fluctuations in granular materials

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 5, 1999, Pages 5870-5880

  Nguyen, M L ^a   Coppersmith, S N ^a  

^a THE UNIVERSITY OF CHICAGO   (United States)

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ARTICLE;

EID: 0001485205     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.5870     Document Type: Article

References (34)

1. C. Liu, Science 269, 513 (1995).
2. S.N. Coppersmith, Phys. Rev. E 53, 4673 (1996).
3. P. Dantu, Ann. Ponts Chaussees IV, 193 (1967).
4. A. Drescher and G. de Josselin de Jong, J. Mech. Phys. Solids 20, 337 (1972).
5. T. Travers, Europhys. Lett. 4, 329 (1987).
6. S.F. Edwards and C.C. Mounfield, Physica A 226, 1 (1996).
7. C.C. Mounfield and S.F. Edwards, Physica A 226, 12 (1996).
8. S.F. Edwards and C.C. Mounfield, Physica A 226, 25 (1996).
9. J.P. Bouchaud, M.E. Cates, and P. Claudin, J. Phys. I 5, 639 (1995).
10. J.P. Wittmer, P. Claudin, M.E. Cates, and J.-P. Bouchaud, Nature (London) 382, 336 (1996).
11. J.P. Wittmer, M.E. Cates, and P. Claudin, J. Phys. I 7, 39 (1997).
12. P. Claudin, J.-P. Bouchaud, M.E. Cates, and J.P. Wittmer, Phys. Rev. E 57, 4441 (1998).
13. J. Hemmingsson, Physica A 230, 329 (1996).
14. J. Hemmingsson, H.J. Herrmann, and S. Roux, J. Phys. I 7, 291 (1997).
15. M. Ammi, D. Bideau, and J.P. Troadec, J. Phys. D 20, 424 (1987).
16. G.W. Baxter, in Powders and Grains 97, edited by R.P. Behringer and J.T. Jenkins (Balkena, Rotterdam, 1997), pp. 345–348.
17. P. Dantu, in Proceedings of the 4th International Conference on Soil Mechanics and Foundation Engineering, London, 1957 (Butterworths, London, 1958), pp. 144–148.
18. T. Wakabayashi, in Proceedings of the 9th Japan National Congress for Applied Mechanics, Tokyo, 1959 (Science Council of Japan, Tokyo, 1960), pp. 133–140.
19. T. Travers, J. Phys. (France) 49, 939 (1988).
20. D. Howell and R.P. Behringer, in Powders and Grains 97 (Ref. 16) pp. 337–340.
21. D.M. Mueth, H.M. Jaeger, and S.R. Nagel, Phys. Rev. E 57, 3164 (1998).
22. B. Miller, C. O’Hern, and R.P. Behringer, Phys. Rev. Lett. 77, 3110 (1996).
23. F. Radjai, M. Jean, J.J. Moreau, and S. Roux, Phys. Rev. Lett. 77, 274 (1996).
24. C. Thornton and S.J. Antony, Philos. Trans. R. Soc. London, Ser. A 356, 2763 (1998).
25. R. Clelland (unpublished).
26. P. Claudin and J.-P. Bouchaud, Phys. Rev. Lett. 78, 231 (1997).
27. M. Nicodemi, Phys. Rev. Lett. 80, 1340 (1998).
28. C. Eloy and C. Clément, J. Phys. I 7, 1541 (1997).
29. J.E.S. Socolar, Phys. Rev. E 57, 3204 (1998).
30. E.B. Pitman, Phys. Rev. E 57, 3170 (1998).
31. V.M. Kenkre, J.E. Scott, E.A. Pease, and A.J. Hurd, Phys. Rev. E 57, 5841 (1998).
32. J.E. Scott, V.M. Kenkre, and A.J. Hurd, Phys. Rev. E 57, 5850 (1998).
33. L.D. Landau and E.M. Lifshitz, Theory of Elasticity, 3rd ed. (Butterworth-Heinemann, Oxford, 1986).
34. R.K. Pathria, Statistical Mechanics (Butterworth-Heinemann, Oxford, 1972).