Slow drag in two-dimensional granular media

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

Volumn 71, Issue 1, 2005, Pages

  Geng, Junfei ^a   Behringer, R P ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DRAG VELOCITY; MOMENTUM TRANSFER; PACKING FRACTION; STATIC SYSTEMS;

ALGORITHMS; ANISOTROPY; BOUNDARY CONDITIONS; GRAIN SIZE AND SHAPE; GRANULAR MATERIALS; PHOTOELASTICITY; RANDOM PROCESSES; SCHEMATIC DIAGRAMS; STIFFNESS; STRESS ANALYSIS;

DRAG;

EID: 37649028759     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.011302     Document Type: Article

References (41)

1. For a broad perspective see Focus Issue on Granular Materials, Chaos 9, 509 (1999); Physics of Dry Granular Media, edited by H. J. Herrmann, J.-P. Hovi, and S. Luding, NATO ASI Series (Kluwer, Berlin, 1997); Powders and Grains 97, edited by R. P. Behringer and J. T. Jenkins (Balkema, Rotterdam, 1997); H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996); P.-G. de Gennes, ibid. 71, 374 (1999).
2. For a broad perspective see Focus Issue on Granular Materials, Chaos 9, 509 (1999); Physics of Dry Granular Media, edited by H. J. Herrmann, J.-P. Hovi, and S. Luding, NATO ASI Series (Kluwer, Berlin, 1997); Powders and Grains 97, edited by R. P. Behringer and J. T. Jenkins (Balkema, Rotterdam, 1997); H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996); P.-G. de Gennes, ibid. 71, 374 (1999).
3. For a broad perspective see Focus Issue on Granular Materials, Chaos 9, 509 (1999); Physics of Dry Granular Media, edited by H. J. Herrmann, J.-P. Hovi, and S. Luding, NATO ASI Series (Kluwer, Berlin, 1997); Powders and Grains 97, edited by R. P. Behringer and J. T. Jenkins (Balkema, Rotterdam, 1997); H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996); P.-G. de Gennes, ibid. 71, 374 (1999).
4. For a broad perspective see Focus Issue on Granular Materials, Chaos 9, 509 (1999); Physics of Dry Granular Media, edited by H. J. Herrmann, J.-P. Hovi, and S. Luding, NATO ASI Series (Kluwer, Berlin, 1997); Powders and Grains 97, edited by R. P. Behringer and J. T. Jenkins (Balkema, Rotterdam, 1997); H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996); P.-G. de Gennes, ibid. 71, 374 (1999).
5. For a broad perspective see Focus Issue on Granular Materials, Chaos 9, 509 (1999); Physics of Dry Granular Media, edited by H. J. Herrmann, J.-P. Hovi, and S. Luding, NATO ASI Series (Kluwer, Berlin, 1997); Powders and Grains 97, edited by R. P. Behringer and J. T. Jenkins (Balkema, Rotterdam, 1997); H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996); P.-G. de Gennes, ibid. 71, 374 (1999).
6. P. Dantu, Geotechnique 18, 50 (1968); A. Drescher and G. De Josselin De Jong, J. Mech. Phys. Solids 20, 337 (1972); T. Travers et al., J. Phys. A 19, L1033 (1986).
7. P. Dantu, Geotechnique 18, 50 (1968); A. Drescher and G. De Josselin De Jong, J. Mech. Phys. Solids 20, 337 (1972); T. Travers et al., J. Phys. A 19, L1033 (1986).
8. P. Dantu, Geotechnique 18, 50 (1968); A. Drescher and G. De Josselin De Jong, J. Mech. Phys. Solids 20, 337 (1972); T. Travers et al., J. Phys. A 19, L1033 (1986).
9. G. W. Baxter and R. P. Behringer, Eur. J. Mech. B/Fluids 10, 181 (1991); C. H. Liu and S. R. Nagel, Phys. Rev. Lett. 68, 2301 (1992); G. W. Baxter, R. Leone, and R. P. Behringer, Europhys. Lett. 21, 569 (1993); A. Ngadi and J. Rajchenbach, Phys. Rev. Lett 80, 273 (1998).
10. G. W. Baxter and R. P. Behringer, Eur. J. Mech. B/Fluids 10, 181 (1991); C. H. Liu and S. R. Nagel, Phys. Rev. Lett. 68, 2301 (1992); G. W. Baxter, R. Leone, and R. P. Behringer, Europhys. Lett. 21, 569 (1993); A. Ngadi and J. Rajchenbach, Phys. Rev. Lett 80, 273 (1998).
11. G. W. Baxter and R. P. Behringer, Eur. J. Mech. B/Fluids 10, 181 (1991); C. H. Liu and S. R. Nagel, Phys. Rev. Lett. 68, 2301 (1992); G. W. Baxter, R. Leone, and R. P. Behringer, Europhys. Lett. 21, 569 (1993); A. Ngadi and J. Rajchenbach, Phys. Rev. Lett 80, 273 (1998).
12. G. W. Baxter and R. P. Behringer, Eur. J. Mech. B/Fluids 10, 181 (1991); C. H. Liu and S. R. Nagel, Phys. Rev. Lett. 68, 2301 (1992); G. W. Baxter, R. Leone, and R. P. Behringer, Europhys. Lett. 21, 569 (1993); A. Ngadi and J. Rajchenbach, Phys. Rev. Lett 80, 273 (1998).
13. D. M. Mueth, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 57, 3164 (1998).
14. B. Miller, C. O'Hern, and R. P. Behringer, Phys. Rev. Lett. 77, 3110 (1996).
15. D. Howell, R. P. Behringer, and C. Veje, Phys. Rev. Lett. 82, 5241 (1999).
16. R. Hartley and R. P. Behringer, Nature (London) 421, 928 (2003).
17. I. Albert, P. Tegzes, B. Kahng, R. Albert, J. G. Sample, M. Pfeifer, A. L. Barabasi, T. Vicsek, and P. Schiffer, Phys. Rev. Lett. 84, 5122 (2000).
18. A. L. Liu and S. R. Nagel, Nature (London) 396, 21 (1998).
19. M. E. Cates, J. P. Wittmer, J.-P. Bouchaud, and P. Claudin, Phys. Rev. Lett. 81, 1841 (1998).
20. J. Geng and R. P. Behringer, Phys. Rev. Lett. 93, 238002 (2004).
21. J. Geng, D. Howell, E. Longhi, R. P. Behringer, G. Reydellet, L. Vanel, E. Clément, and S. Luding, Phys. Rev. Lett. 87, 035506 (2001).
22. R. Albert, M. A. Pfeifer, A. L. Barabasi, and P. Schiffer, Phys. Rev. Lett. 82, 205 (1999).
23. I. Albert, P. Tegzes, R. Albert, J. G. Sample, A. L. Barabasi, T. Vicsek, B. Kahng, and P. Schiffer, Phys. Rev. E 64, 031307 (2001).
24. C.-h. Liu, S. R. Nagel, D. A. Schecter, S. N. Coppersmith, S. Majmudar, O. Narayan, and T. A. Witten, Science 269, 513 (1995); S. N. Coppersmith, C.-h. Liu, S. Majmudar, O. Narayan, and T. A. Witten, Phys. Rev. E 53, 4673 (1996).
25. C.-h. Liu, S. R. Nagel, D. A. Schecter, S. N. Coppersmith, S. Majmudar, O. Narayan, and T. A. Witten, Science 269, 513 (1995); S. N. Coppersmith, C.-h. Liu, S. Majmudar, O. Narayan, and T. A. Witten, Phys. Rev. E 53, 4673 (1996).
26. B. Kahng, I. Albert, P. Schiffer, and A. L. Barabasi, Phys. Rev. E 64, 051303 (2001).
27. C. Eloy and E. Clément, J. Phys. I 7, 1541 (1997); M. Nicodemi, Phys. Rev. Lett 80, 1340 (1998); J. E. S. Socolar, Phys. Rev. E 57, 3204 (1998).
28. C. Eloy and E. Clément, J. Phys. I 7, 1541 (1997); M. Nicodemi, Phys. Rev. Lett 80, 1340 (1998); J. E. S. Socolar, Phys. Rev. E 57, 3204 (1998).
29. C. Eloy and E. Clément, J. Phys. I 7, 1541 (1997); M. Nicodemi, Phys. Rev. Lett 80, 1340 (1998); J. E. S. Socolar, Phys. Rev. E 57, 3204 (1998).
30. F. Radjai, M. Jean, J.-J. Moreau, and S. Roux, Phys. Rev. Lett. 77, 274 (1996).
31. R. M. Nedderman, Statics and Kinematics of Granular Materials (Cambridge University Press, Cambridge, 1992).
32. D. M. Wood, Soil Behaviour and Critical State Soil Mechanics (Cambridge University Press, Cambridge, 1990).
33. A. Ruina, J. Geophys. Res. B 88, 10359 (1983).
34. K. Wieghard, Annu. Rev. Fluid Mech. 7, 89 (1975).
35. C. S. Campbell, J. Fluid Mech. 465, 261 (2002).
36. A. L. Demirel, S. Granick, and B. Kahng, Phys. Rev. Lett. 77, 4330 (1996).
37. M. G. Rozman, M. Urbakh, and J. Klafter, Phys. Rev. Lett. 77, 683 (1996).
38. R. P. Behringer, E. Clément, J. Geng, D. Howell, L. Kondic, G. Metcalfe, C. O'Hern, G. Reydellet, S. Tennakoon, L. Vanel, and C. Veje, Lect. Notes Phys. 567, 351 (2001).
39. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: The An of Scientific Computing, 2nd ed. (Cambridge University Press, Cambridge, 1992).
40. V. Frette, K. Christensen, J. Feder, T. Jossang, and P. Meakin, Nature (London) 379, 49 (1996).
41. R. K. Pathria, Statistical Mechanics, 2nd ed. (Butterworth-Heinemann, Oxford, 1996), p. 464.