-
1
-
-
0030524525
-
-
H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996); P. G. de Gennes, ibid. 71, 374 (1999).
-
(1996)
Rev. Mod. Phys.
, vol.68
, pp. 1259
-
-
Jaeger, H.M.1
Nagel, S.R.2
Behringer, R.P.3
-
2
-
-
0033096572
-
-
H. M. Jaeger, S. R. Nagel, and R. P. Behringer, Rev. Mod. Phys. 68, 1259 (1996); P. G. de Gennes, ibid. 71, 374 (1999).
-
(1999)
Rev. Mod. Phys.
, vol.71
, pp. 374
-
-
De Gennes, P.G.1
-
3
-
-
0000704967
-
-
D. M. Mueth, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 57, 3164 (1998) ; D. L. Blair, N. W. Mueggenburg, A. H. Marshall, H. M. Jaeger, and S. R. Nagel, ibid. 63, 041304 (2001).
-
(1998)
Phys. Rev. E
, vol.57
, pp. 3164
-
-
Mueth, D.M.1
Jaeger, H.M.2
Nagel, S.R.3
-
4
-
-
0008635162
-
-
D. M. Mueth, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 57, 3164 (1998) ; D. L. Blair, N. W. Mueggenburg, A. H. Marshall, H. M. Jaeger, and S. R. Nagel, ibid. 63, 041304 (2001).
-
(2001)
Phys. Rev. E
, vol.63
, pp. 041304
-
-
Blair, D.L.1
Mueggenburg, N.W.2
Marshall, A.H.3
Jaeger, H.M.4
Nagel, S.R.5
-
5
-
-
0000639277
-
-
G. Løvoll, K. J. Måløy, and E. G., Flekkøy, Phys. Rev. E 60, 5872 (1999).
-
(1999)
Phys. Rev. E
, vol.60
, pp. 5872
-
-
Løvoll, G.1
Måløy, K.J.2
Flekkøy, E.G.3
-
6
-
-
0000319412
-
-
F. Radjai, M. Jean, J. J. Moreau, and S. Roux, Phys. Rev. Lett. 77, 274 (1996); S. Luding, Phys. Rev. E 55, 4720 (1997); F. Radjai, D. E. Wolf, M. Jean, and J. J. Moreau, Phys. Rev. Lett. 80, 61 (1998); A. V. Tkachenko and T. A. Witten, Phys. Rev. E 62, 2510 (2000); S. J. Antony, ibid. 63, 011302 (2000); C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 88, 075507 (2002).
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 274
-
-
Radjai, F.1
Jean, M.2
Moreau, J.J.3
Roux, S.4
-
7
-
-
0001149485
-
-
F. Radjai, M. Jean, J. J. Moreau, and S. Roux, Phys. Rev. Lett. 77, 274 (1996); S. Luding, Phys. Rev. E 55, 4720 (1997); F. Radjai, D. E. Wolf, M. Jean, and J. J. Moreau, Phys. Rev. Lett. 80, 61 (1998); A. V. Tkachenko and T. A. Witten, Phys. Rev. E 62, 2510 (2000); S. J. Antony, ibid. 63, 011302 (2000); C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 88, 075507 (2002).
-
(1997)
Phys. Rev. E
, vol.55
, pp. 4720
-
-
Luding, S.1
-
8
-
-
11744290710
-
-
F. Radjai, M. Jean, J. J. Moreau, and S. Roux, Phys. Rev. Lett. 77, 274 (1996); S. Luding, Phys. Rev. E 55, 4720 (1997); F. Radjai, D. E. Wolf, M. Jean, and J. J. Moreau, Phys. Rev. Lett. 80, 61 (1998); A. V. Tkachenko and T. A. Witten, Phys. Rev. E 62, 2510 (2000); S. J. Antony, ibid. 63, 011302 (2000); C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 88, 075507 (2002).
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 61
-
-
Radjai, F.1
Wolf, D.E.2
Jean, M.3
Moreau, J.J.4
-
9
-
-
0034239247
-
-
F. Radjai, M. Jean, J. J. Moreau, and S. Roux, Phys. Rev. Lett. 77, 274 (1996); S. Luding, Phys. Rev. E 55, 4720 (1997); F. Radjai, D. E. Wolf, M. Jean, and J. J. Moreau, Phys. Rev. Lett. 80, 61 (1998); A. V. Tkachenko and T. A. Witten, Phys. Rev. E 62, 2510 (2000); S. J. Antony, ibid. 63, 011302 (2000); C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 88, 075507 (2002).
-
(2000)
Phys. Rev. E
, vol.62
, pp. 2510
-
-
Tkachenko, A.V.1
Witten, T.A.2
-
10
-
-
17744364480
-
-
F. Radjai, M. Jean, J. J. Moreau, and S. Roux, Phys. Rev. Lett. 77, 274 (1996); S. Luding, Phys. Rev. E 55, 4720 (1997); F. Radjai, D. E. Wolf, M. Jean, and J. J. Moreau, Phys. Rev. Lett. 80, 61 (1998); A. V. Tkachenko and T. A. Witten, Phys. Rev. E 62, 2510 (2000); S. J. Antony, ibid. 63, 011302 (2000); C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 88, 075507 (2002).
-
(2000)
Phys. Rev. E
, vol.63
, pp. 011302
-
-
Antony, S.J.1
-
11
-
-
4243889507
-
-
F. Radjai, M. Jean, J. J. Moreau, and S. Roux, Phys. Rev. Lett. 77, 274 (1996); S. Luding, Phys. Rev. E 55, 4720 (1997); F. Radjai, D. E. Wolf, M. Jean, and J. J. Moreau, Phys. Rev. Lett. 80, 61 (1998); A. V. Tkachenko and T. A. Witten, Phys. Rev. E 62, 2510 (2000); S. J. Antony, ibid. 63, 011302 (2000); C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 88, 075507 (2002).
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 075507
-
-
O'Hern, C.S.1
Langer, S.A.2
Liu, A.J.3
Nagel, S.R.4
-
12
-
-
0013549443
-
-
C. Liu, S. R. Nagel, D. A. Schecter, S. N. Coppersmith, S. Majumdar, O. Narayan, and T. A. Witten, Science 269, 513 (1995); S. N. Coppersmith, C. Liu, S. Majumdar, O. Narayan, and T. A. Witten, Phys. Rev. E 53, 4673 (1996).
-
(1995)
Science
, vol.269
, pp. 513
-
-
Liu, C.1
Nagel, S.R.2
Schecter, D.A.3
Coppersmith, S.N.4
Majumdar, S.5
Narayan, O.6
Witten, T.A.7
-
13
-
-
0000781536
-
-
C. Liu, S. R. Nagel, D. A. Schecter, S. N. Coppersmith, S. Majumdar, O. Narayan, and T. A. Witten, Science 269, 513 (1995); S. N. Coppersmith, C. Liu, S. Majumdar, O. Narayan, and T. A. Witten, Phys. Rev. E 53, 4673 (1996).
-
(1996)
Phys. Rev. E
, vol.53
, pp. 4673
-
-
Coppersmith, S.N.1
Liu, C.2
Majumdar, S.3
Narayan, O.4
Witten, T.A.5
-
14
-
-
0035124320
-
-
C. S. O'Hern, S. A. Langer, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. 86, 111 (2001).
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 111
-
-
O'Hern, C.S.1
Langer, S.A.2
Liu, A.J.3
Nagel, S.R.4
-
15
-
-
41349099780
-
-
L. E. Silbert, D. Ertas, G. S. Grest, T. C. Halsey, and D. Levine, Phys. Rev. E 65, 051307 (2002).
-
(2002)
Phys. Rev. E
, vol.65
, pp. 051307
-
-
Silbert, L.E.1
Ertas, D.2
Grest, G.S.3
Halsey, T.C.4
Levine, D.5
-
16
-
-
37649028586
-
-
J. H. Snoeijer, M. van Hecke, E. Somfai, and W. van Saarloos, Phys. Rev. E 67, 030302(R) (2003).
-
(2003)
Phys. Rev. E
, vol.67
-
-
Snoeijer, J.H.1
Van Hecke, M.2
Somfai, E.3
Van Saarloos, W.4
-
18
-
-
1542327529
-
-
J. Brujic, S. F. Edwards, D. V. Grinev, I. Hopkinson, D. Brujic, and H. A. Makse, Faraday Discuss. 123, 207 (2003).
-
(2003)
Faraday Discuss.
, vol.123
, pp. 207
-
-
Brujic, J.1
Edwards, S.F.2
Grinev, D.V.3
Hopkinson, I.4
Brujic, D.5
Makse, H.A.6
-
19
-
-
45849155849
-
-
J. M. Erikson, N. W. Mueggenburg, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 66, 040301 (2002).
-
(2002)
Phys. Rev. E
, vol.66
, pp. 040301
-
-
Erikson, J.M.1
Mueggenburg, N.W.2
Jaeger, H.M.3
Nagel, S.R.4
-
20
-
-
0035831877
-
-
G. Reydellet and E. Clement, Phys. Rev. Lett. 86, 3308 (2001); J. Geng, D. Howell, E. Longhi, R. P. Behringer, G. Reydellet, L. Vanel, E. Clement, and S. Luding, ibid. 87, 035506 (2001); N. W. Mueggenburg, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 66, 031304 (2002); D. A. Head, A. V. Tkachenko, and T. A. Witten, Eur. Phys. J. E 6,99 (2001); C. Goldenberg and I. Goldhirsch, Phys. Rev. Lett. 89, 084302 (2002).
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 3308
-
-
Reydellet, G.1
Clement, E.2
-
21
-
-
0035898705
-
-
G. Reydellet and E. Clement, Phys. Rev. Lett. 86, 3308 (2001); J. Geng, D. Howell, E. Longhi, R. P. Behringer, G. Reydellet, L. Vanel, E. Clement, and S. Luding, ibid. 87, 035506 (2001); N. W. Mueggenburg, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 66, 031304 (2002); D. A. Head, A. V. Tkachenko, and T. A. Witten, Eur. Phys. J. E 6,99 (2001); C. Goldenberg and I. Goldhirsch, Phys. Rev. Lett. 89, 084302 (2002).
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 035506
-
-
Geng, J.1
Howell, D.2
Longhi, E.3
Behringer, R.P.4
Reydellet, G.5
Vanel, L.6
Clement, E.7
Luding, S.8
-
22
-
-
41349098295
-
-
G. Reydellet and E. Clement, Phys. Rev. Lett. 86, 3308 (2001); J. Geng, D. Howell, E. Longhi, R. P. Behringer, G. Reydellet, L. Vanel, E. Clement, and S. Luding, ibid. 87, 035506 (2001); N. W. Mueggenburg, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 66, 031304 (2002); D. A. Head, A. V. Tkachenko, and T. A. Witten, Eur. Phys. J. E 6,99 (2001); C. Goldenberg and I. Goldhirsch, Phys. Rev. Lett. 89, 084302 (2002).
-
(2002)
Phys. Rev. E
, vol.66
, pp. 031304
-
-
Mueggenburg, N.W.1
Jaeger, H.M.2
Nagel, S.R.3
-
23
-
-
0035463696
-
-
G. Reydellet and E. Clement, Phys. Rev. Lett. 86, 3308 (2001); J. Geng, D. Howell, E. Longhi, R. P. Behringer, G. Reydellet, L. Vanel, E. Clement, and S. Luding, ibid. 87, 035506 (2001); N. W. Mueggenburg, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 66, 031304 (2002); D. A. Head, A. V. Tkachenko, and T. A. Witten, Eur. Phys. J. E 6,99 (2001); C. Goldenberg and I. Goldhirsch, Phys. Rev. Lett. 89, 084302 (2002).
-
(2001)
Eur. Phys. J. E
, vol.6
, pp. 99
-
-
Head, D.A.1
Tkachenko, A.V.2
Witten, T.A.3
-
24
-
-
0037135915
-
-
G. Reydellet and E. Clement, Phys. Rev. Lett. 86, 3308 (2001); J. Geng, D. Howell, E. Longhi, R. P. Behringer, G. Reydellet, L. Vanel, E. Clement, and S. Luding, ibid. 87, 035506 (2001); N. W. Mueggenburg, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 66, 031304 (2002); D. A. Head, A. V. Tkachenko, and T. A. Witten, Eur. Phys. J. E 6,99 (2001); C. Goldenberg and I. Goldhirsch, Phys. Rev. Lett. 89, 084302 (2002).
-
(2002)
Phys. Rev. Lett.
, vol.89
, pp. 084302
-
-
Goldenberg, C.1
Goldhirsch, I.2
-
25
-
-
85040875608
-
-
Cambridge University Press Cambridge, England
-
K. L. Johnson, Contact Mechanics (Cambridge University Press Cambridge, England, 1985).
-
(1985)
Contact Mechanics
-
-
Johnson, K.L.1
-
26
-
-
33645063573
-
-
note
-
There is a slight difference between the packings of "soft" particles (deformation 0.1%) and "hard" particles (deformation 0.1%). The average coordination number of the hard particles is smaller than that of the soft particles, leading to a significant number of rattlers - i.e., particles that feel no force from above. Since the forces carrying these rattlers are of the order mg<(F), they show up as δ peaks at zero force (see also Sec. II B); besides these δ peaks, P(f) in both systems are virtually indistinguishable.
-
-
-
-
28
-
-
33645073243
-
-
note
-
I by a factor of more than 4. For simplicity we therefore have kept a "cutoff angle" of 0° in the bulk.
-
-
-
-
29
-
-
33645078735
-
-
note
-
1(0)=0.5 for simplicity.
-
-
-
-
32
-
-
0036390519
-
-
J. H. Snoeijer and J. M. J. van Leeuwen, Phys. Rev. E 65, 051306 (2002); J. Stat. Phys. 109, 449 (2002).
-
(2002)
J. Stat. Phys.
, vol.109
, pp. 449
-
-
-
34
-
-
4243817763
-
-
P. Claudin and J.-P. Bouchaud, Phys. Rev. Lett. 78, 231 (1997); M. Nicodemi, ibid. 80, 1340 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 1340
-
-
Nicodemi, M.1
-
35
-
-
33645074254
-
-
note
-
The second moments are very sensitive to small changes in the distributions and hence form a good representation of the evolution of the entire distributions P(w) and P(f) as a function of depth. To see what the corresponding distributions look like, we refer to Figs. 2 and 5(a).
-
-
-
-
38
-
-
33645078497
-
-
note
-
This diffusion in correlation space should not be confused with the diffusion in real space due to a localized force on the top surface. In our case we have homogeneous initial conditions as all weights in the top layer are equal.
-
-
-
-
39
-
-
37649027693
-
-
L. E. Silbert, D. Ertas, G. S. Grest, T. C. Halsey, and D. Levine, Phys. Rev. E 65, 031304 (2002).
-
(2002)
Phys. Rev. E
, vol.65
, pp. 031304
-
-
Silbert, L.E.1
Ertas, D.2
Grest, G.S.3
Halsey, T.C.4
Levine, D.5
-
40
-
-
1642289379
-
-
J. H. Snoeijer, T. J. H. Vlugt, M. van Hecke, and W. van Saarloos, Phys. Rev. Lett. 92, 054302 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 054302
-
-
Snoeijer, J.H.1
Vlugt, T.J.H.2
Van Hecke, M.3
Van Saarloos, W.4
|