-
1
-
-
35148867317
-
-
NATUAS 0028-0836 10.1038/188908a0
-
G. D. Scott, Nature (London) NATUAS 0028-0836 10.1038/188908a0 188, 908 (1960).
-
(1960)
Nature (London)
, vol.188
, pp. 908
-
-
Scott, G.D.1
-
2
-
-
33845544986
-
-
NATUAS 0028-0836 10.1038/188910a0
-
J. D. Bernal and J. Mason, Nature (London) NATUAS 0028-0836 10.1038/188910a0 188, 910 (1960).
-
(1960)
Nature (London)
, vol.188
, pp. 910
-
-
Bernal, J.D.1
Mason, J.2
-
3
-
-
73649091116
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.80.061304
-
G.-J. Gao, J. Blawzdziewicz, C. S. O'Hern, and M. D. Shattuck, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.061304 80, 061304 (2009).
-
(2009)
Phys. Rev. e
, vol.80
, pp. 061304
-
-
Gao, G.-J.1
Blawzdziewicz, J.2
O'Hern, C.S.3
Shattuck, M.D.4
-
4
-
-
0000998189
-
-
PLRAAN 1050-2947 10.1103/PhysRevA.27.1053
-
J. G. Berryman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.1053 27, 1053 (1983).
-
(1983)
Phys. Rev. A
, vol.27
, pp. 1053
-
-
Berryman, J.G.1
-
6
-
-
85036208692
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.70.043302
-
C. S. O'Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.043302 70, 043302 (2004).
-
(2004)
Phys. Rev. e
, vol.70
, pp. 043302
-
-
O'Hern, C.S.1
Silbert, L.E.2
Liu, A.J.3
Nagel, S.R.4
-
7
-
-
26944494880
-
The ideal glass transition of hard spheres
-
DOI 10.1063/1.2041507, 144501
-
G. Parisi and F. Zamponi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2041507 123, 144501 (2005). (Pubitemid 41476727)
-
(2005)
Journal of Chemical Physics
, vol.123
, Issue.14
, pp. 1-12
-
-
Parisi, G.1
Zamponi, F.2
-
8
-
-
79960623617
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.106.135702
-
H. Jacquin, L. Berthier, and F. Zamponi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.135702 106, 135702 (2011).
-
(2011)
Phys. Rev. Lett.
, vol.106
, pp. 135702
-
-
Jacquin, H.1
Berthier, L.2
Zamponi, F.3
-
9
-
-
37649027929
-
Pair correlation function characteristics of nearly jammed disordered and ordered hard-sphere packings
-
DOI 10.1103/PhysRevE.71.011105, 011105
-
A. Donev, S. Torquato, and F. H. Stillinger, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.011105 71, 011105 (2005). (Pubitemid 40629746)
-
(2005)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.71
, Issue.1
-
-
Donev, A.1
Torquato, S.2
Stillinger, F.H.3
-
10
-
-
0032606407
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.60.687
-
A. V. Tkachenko and T. A. Witten, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.60.687 60, 687 (1999).
-
(1999)
Phys. Rev. e
, vol.60
, pp. 687
-
-
Tkachenko, A.V.1
Witten, T.A.2
-
11
-
-
84862902847
-
-
r is the number of rattler particles.
-
r is the number of rattler particles.
-
-
-
-
13
-
-
1142292393
-
-
JAPIAU 0021-8979 10.1063/1.1633647
-
A. Donev, S. Torquato, F. H. Stillinger, and R. Connelly, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1633647 95, 989 (2004).
-
(2004)
J. Appl. Phys.
, vol.95
, pp. 989
-
-
Donev, A.1
Torquato, S.2
Stillinger, F.H.3
Connelly, R.4
-
14
-
-
34347270239
-
Underconstrained jammed packings of nonspherical hard particles: Ellipses and ellipsoids
-
DOI 10.1103/PhysRevE.75.051304
-
A. Donev, R. Connelly, F. H. Stillinger, and S. Torquato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.051304 75, 051304 (2007). (Pubitemid 47001020)
-
(2007)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.75
, Issue.5
, pp. 051304
-
-
Donev, A.1
Connelly, R.2
Stillinger, F.H.3
Torquato, S.4
-
15
-
-
67649382252
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.102.255501
-
M. Mailman, C. F. Schreck, C. S. O'Hern, and B. Chakraborty, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.255501 102, 255501 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 255501
-
-
Mailman, M.1
Schreck, C.F.2
O'Hern, C.S.3
Chakraborty, B.4
-
16
-
-
70349337087
-
-
EULEEJ 0295-5075 10.1209/0295-5075/87/26001
-
Z. Zeravcic, N. Xu, A. J. Liu, S. R. Nagel, and W. van Saarloos, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/87/26001 87, 26001 (2009).
-
(2009)
Europhys. Lett.
, vol.87
, pp. 26001
-
-
Zeravcic, Z.1
Xu, N.2
Liu, A.J.3
Nagel, S.R.4
Van Saarloos, W.5
-
17
-
-
29144534412
-
Random packing of elliptical disks
-
DOI 10.1080/09500830500080763, PII M71566438141371
-
G. Delaney, D. Weaire, S. Hutzler, and S. Murphy, Philos. Mag. Lett. PMLEEG 0950-0839 10.1080/09500830500080763 85, 89 (2005). (Pubitemid 43203841)
-
(2005)
Philosophical Magazine Letters
, vol.85
, Issue.2
, pp. 89-96
-
-
Delaney, G.1
Weaire, D.2
Hutzler, S.3
Murphy, S.4
-
18
-
-
27144454071
-
Experiments on random packings of ellipsoids
-
DOI 10.1103/PhysRevLett.94.198001, 198001
-
W. N. Man, A. Donev, F. H. Stillinger, M. T. Sullivan, W. B. Russel, D. Heeger, S. Inati, S. Torquato, and P. M. Chaikin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.198001 94, 198001 (2005). (Pubitemid 41493010)
-
(2005)
Physical Review Letters
, vol.94
, Issue.19
, pp. 1-4
-
-
Man, W.1
Donev, A.2
Stillinger, F.H.3
Sullivan, M.T.4
Russel, W.B.5
Heeger, D.6
Inati, S.7
Torquato, S.8
Chaikin, P.M.9
-
19
-
-
1142274207
-
Improving the Density of Jammed Disordered Packings Using Ellipsoids
-
DOI 10.1126/science.1093010
-
A. Donev, I. Cisse, D. Sachs, E. A. Variano, F. H. Stillinger, R. Connelly, S. Torquato, and P. M. Chaikin, Science SCIEAS 0036-8075 10.1126/science.1093010 303, 990 (2004). (Pubitemid 38209698)
-
(2004)
Science
, vol.303
, Issue.5660
, pp. 990-993
-
-
Donev, A.1
Cisse, I.2
Sachs, D.3
Variano, E.A.4
Stillinger, F.H.5
Connelly, R.6
Torquato, S.7
Chaikin, P.M.8
-
20
-
-
74949142319
-
-
JCOMEL 0953-8984 10.1088/0953-8984/22/3/033101
-
M. van Hecke, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/22/3/033101 22, 033101 (2010).
-
(2010)
J. Phys.: Condens. Matter
, vol.22
, pp. 033101
-
-
Van Hecke, M.1
-
21
-
-
84921756664
-
-
in edited by L. Berthier (Cambridge University Press, New York
-
A. Liu, S. R. Nagel, W. van Saarlos, and M. Wyart, in Dynamical Heterogeneities in Glasses, Colloids and Granular Media, edited by, L. Berthier, (Cambridge University Press, New York, 2011).
-
(2011)
Dynamical Heterogeneities in Glasses, Colloids and Granular Media
-
-
Liu, A.1
Nagel, S.R.2
Van Saarlos, W.3
Wyart, M.4
-
22
-
-
84860390048
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.107.078301
-
C. F. Schreck, T. Bertrand, C. S. O'Hern, and M. D. Shattuck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.078301 107, 078301 (2011).
-
(2011)
Phys. Rev. Lett.
, vol.107
, pp. 078301
-
-
Schreck, C.F.1
Bertrand, T.2
O'Hern, C.S.3
Shattuck, M.D.4
-
23
-
-
36849101977
-
-
0021-9606 10.1063/1.1677837
-
B. J. Berne and P. Pechukas, J. Chem. Phys. 0021-9606 10.1063/1.1677837 56, 4213 (1972).
-
(1972)
J. Chem. Phys.
, vol.56
, pp. 4213
-
-
Berne, B.J.1
Pechukas, P.2
-
24
-
-
6744234112
-
-
0021-9606 10.1063/1.441483
-
J. G. Gay and B. J. Berne, J. Chem. Phys. 0021-9606 10.1063/1.441483 74, 3316 (1981).
-
(1981)
J. Chem. Phys.
, vol.74
, pp. 3316
-
-
Gay, J.G.1
Berne, B.J.2
-
25
-
-
0000442693
-
-
JCTPAH 0021-9991 10.1016/0021-9991(85)90171-8
-
J. W. Perram and M. S. Wertheim, J. Comput. Phys. JCTPAH 0021-9991 10.1016/0021-9991(85)90171-8 58, 409 (1985).
-
(1985)
J. Comput. Phys.
, vol.58
, pp. 409
-
-
Perram, J.W.1
Wertheim, M.S.2
-
26
-
-
0001107036
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.54.559
-
D. J. Cleaver, C. M. Care, M. P. Allen, and M. P. Neal, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.559 54, 559 (1996).
-
(1996)
Phys. Rev. e
, vol.54
, pp. 559
-
-
Cleaver, D.J.1
Care, C.M.2
Allen, M.P.3
Neal, M.P.4
-
27
-
-
0001122259
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.54.6565
-
J. W. Perram, J. Rasmussen, E. Præstgaard, and J. L. Lebowitz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.54.6565 54, 6565 (1996).
-
(1996)
Phys. Rev. e
, vol.54
, pp. 6565
-
-
Perram, J.W.1
Rasmussen, J.2
Præstgaard, E.3
Lebowitz, J.L.4
-
29
-
-
27944442767
-
Random close packing revisited: Ways to pack frictionless disks
-
DOI 10.1103/PhysRevE.71.061306, 061306
-
N. Xu, J. Blawzdziewicz, and C. S. O'Hern, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.061306 71, 061306 (2005). (Pubitemid 41663741)
-
(2005)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.71
, Issue.6
, pp. 1-9
-
-
Xu, N.1
Blawzdziewicz, J.2
O'Hern, C.S.3
-
30
-
-
33845586836
-
Frequency distribution of mechanically stable disk packings
-
DOI 10.1103/PhysRevE.74.061304
-
G.-J. Gao, J. Blawzdziewicz, and C. S. O'Hern, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.061304 74, 061304 (2006). (Pubitemid 44936017)
-
(2006)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.74
, Issue.6
, pp. 061304
-
-
Gao, G.-J.1
Blawzdziewicz, J.2
O'Hern, C.S.3
-
31
-
-
84862839136
-
-
The conjugate gradient (CG) energy minimization technique relies on numerous evaluations of the total potential energy to identify local minima. However, when we integrate Newton's equations of motion with damping forces proportional to particle velocities [Eqs. and ], energy minimization is achieved by the evaluation of forces and torques, which allows increased accuracy compared to the CG technique.
-
The conjugate gradient (CG) energy minimization technique relies on numerous evaluations of the total potential energy to identify local minima. However, when we integrate Newton's equations of motion with damping forces proportional to particle velocities [Eqs. and], energy minimization is achieved by the evaluation of forces and torques, which allows increased accuracy compared to the CG technique.
-
-
-
-
34
-
-
84862853200
-
-
ij.
-
i j.
-
-
-
-
35
-
-
27144531226
-
Vibrations and diverging length scales near the unjamming transition
-
DOI 10.1103/PhysRevLett.95.098301, 098301
-
L. E. Silbert, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.098301 95, 098301 (2005). (Pubitemid 41505847)
-
(2005)
Physical Review Letters
, vol.95
, Issue.9
, pp. 1-4
-
-
Silbert, L.E.1
Liu, A.J.2
Nagel, S.R.3
-
36
-
-
28844441964
-
Effects of compression on the vibrational modes of marginally jammed solids
-
DOI 10.1103/PhysRevE.72.051306, 051306
-
M. Wyart, L. E. Silbert, S. R. Nagel, and T. A. Witten, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.051306 72, 051306 (2005). (Pubitemid 41777677)
-
(2005)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.72
, Issue.5
, pp. 1-11
-
-
Wyart, M.1
Silbert, L.E.2
Nagel, S.R.3
Witten, T.A.4
-
37
-
-
84862877095
-
-
N. Xu, V. Vitelli, A. J. Liu, and S. R. Nagel, Europhys. Lett. 87, 26001 (2010).
-
(2010)
Europhys. Lett.
, vol.87
, pp. 26001
-
-
Xu, N.1
Vitelli, V.2
Liu, A.J.3
Nagel, S.R.4
-
38
-
-
76649092339
-
-
PLEEE8 1539-3755 10.1103/PhysRevE.81.021301
-
V. Vitelli, N. Xu, M. Wyart, A. J. Liu, and S. R. Nagel, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.021301 81, 021301 (2010).
-
(2010)
Phys. Rev. e
, vol.81
, pp. 021301
-
-
Vitelli, V.1
Xu, N.2
Wyart, M.3
Liu, A.J.4
Nagel, S.R.5
-
39
-
-
59749093809
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.102.038001
-
N. Xu, V. Vitelli, M. Wyart, A. J. Liu, and S. R. Nagel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.038001 102, 038001 (2009).
-
(2009)
Phys. Rev. Lett.
, vol.102
, pp. 038001
-
-
Xu, N.1
Vitelli, V.2
Wyart, M.3
Liu, A.J.4
Nagel, S.R.5
|