Role of friction in compaction and segregation of granular materials

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 6 1, 2003, Pages 613011-613019

  Srebro, Yair ^a   Levine, Dov ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES; COMPACTION; COMPUTATIONAL GEOMETRY; GRAIN SIZE AND SHAPE; SEGREGATION (METALLOGRAPHY); STATISTICAL MECHANICS; THERMODYNAMICS;

FRICTION COEFFICIENTS; ISING MODEL;

GRANULAR MATERIALS;

EID: 1442354690     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. S.F. Edwards and R.B.S. Oakeshott, Physica A 157, 1080 (1989).
2. B.H. Kaye, Powder Mixing (Chapman and Hall, London, 1997).
3. G.H. Ristow, Pattern Formation in Granular Materials, Springer Tracts in Modern Physics Vol. 164 (Springer, Berlin, 2000).
4. F. Cantelaube and D. Bideau, Europhys. Lett. 30, 133 (1995).
5. L.R. Lawrence and J.K. Beddow, Powder Technol. 2, 253 (1968).
6. O. Zik, D. Levine, S.G. Lipson, S. Shtrikman, and J. Stavans, Phys. Rev. Lett. 73, 644 (1994).
7. T. Shinbrot and F. Muzzio, Phys. Rev. Lett. 81, 4365 (1998).
8. W. Cooke, S. Warr, J.M. Huntley, and R.C. Ball, Phys. Rev. E 53, 2812 (1996).
9. J.B. Knight, H.M. Jaeger, and S.R. Nagel, Phys. Rev. Lett. 70, 3728 (1993).
10. H.A. Makse, S. Havlin, P.R. King, and H.E. Stanley, Nature (London) 386, 379 (1997).
11. J.C. Williams, Powder Technol. 15, 245 (1976).
12. J.M. Ottino and D.V. Khakhar, Annu. Rev. Fluid Mech. 32, 55 (2000).
13. E. Clément, J. Rajchenbach, and J. Duran, Europhys. Lett. 30, 7 (1995).
14. D. Levine, Chaos 9, 573 (1999).
15. P.Y. Lai, L.C. Jia, and C.K. Chan, Phys. Rev. Lett. 79, 4994 (1997).
16. T. Boutreux and P.G. de Gennes, J. Phys. I 6, 1295 (1996).
17. A. Rosato, K.J. Strandburg, F. Prinz, and R.H. Swendsen, Phys. Rev. Lett. 58, 1038 (1987).
18. A. Mehta and G.C. Barker, Phys. Rev. Lett. 67, 394 (1991).
19. T. Boutreux and P.G. de Gennes, Physica A 244, 59 (1997).
20. E. Ben-Naim, J.B. Knight, E.R. Nowak, H.M. Jaeger, and S.R. Nagel, Physica D 123, 380 (1998).
21. E.R. Nowak, J.B. Knight, E. Ben-Naim, H.M. Jaeger, and S.R. Nagel, Phys. Rev. E 57, 1971 (1998).
22. S.A. Langer and A.J. Liu, Europhys. Lett. 49, 68 (2000).
23. I.K. Ono, C.S. O'Hern, D.J. Durian, S.A. Langer, A.J. Liu, and S.R. Nagel, Phys. Rev. Lett. 89, 095703 (2002).
24. A. Barrat, J. Kurchan, V. Loreto, and M. Sellitto, Phys. Rev. Lett. 85, 5034 (2000).
25. H.A. Makse and J. Kurchan, Nature (London) 415, 614 (2002).
26. E.R. Nowak, J.B. Knight, M.L. Povinelli, H.M. Jaeger, and S.R. Nagel, Powder Technol. 94, 79 (1997).
27. S.F. Edwards and D.V. Grinev, Phys. Rev. E 58, 4758 (1998).
28. A. Mehta and S.F. Edwards, Physica A 157, 1091 (1989).
29. R. Blumenfeld and S.F. Edwards, Phys. Rev. Lett. 90, 114303 (2003).
30. P. Richard, L. Oger, J.P. Troadec, and A. Gervois, Eur. Phys. J. E 6, 295 (2001).
31. L.E. Silbert, D. Ertas, G.S. Grest, T.C. Halsey, and D. Levine, Phys. Rev. E 65, 031304 (2002).
32. J.W. Christian, The Theory of Transformations in Metals and Alloys, International Series on Materials Science and Technology, Vol. 15, 2nd ed. (Pergamon Press, Oxford, 1981).
33. R. Kubo, Statistical Mechanics-An Advanced Course with Problems and Solutions, 8th ed. (North-Holland, Amsterdam, 1990).
34. ij, the expression in Eq. (7) immediately follows.