-
3
-
-
85071947528
-
-
Granular Gases edited by T. Pöschel and Springer-Verlag, Berlin, S. Luding, Vol.
-
T. P. C. van Noije and M. H. Ernst, in Granular Gases, edited by, T. Pöschel, and, S. Luding, Vol. 564 of Lecture Notes in Physics (Springer-Verlag, Berlin, 2001), pp. 3-30.
-
(2001)
Lecture Notes in Physics
, vol.564
, pp. 3-30
-
-
Van Noije, T.P.C.1
Ernst, M.H.2
-
4
-
-
28844454668
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.72.031308
-
A. Santos and A. Astillero, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.031308 72, 031308 (2005), preceding paper.
-
(2005)
Phys. Rev. e
, vol.72
, pp. 031308
-
-
Santos, A.1
Astillero, A.2
-
5
-
-
0242486236
-
-
ARVFA3 0066-4189 10.1146/annurev.fluid.35.101101.161114
-
I. Goldhirsch, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.35.101101.161114 35, 267 (2003).
-
(2003)
Annu. Rev. Fluid Mech.
, vol.35
, pp. 267
-
-
Goldhirsch, I.1
-
6
-
-
42749104192
-
-
PLEEE8. 1063-651X. 10.1103/PhysRevE.69.061303
-
A. Santos, V. Garzó, and J. Dufty, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.061303 69, 061303 (2004).
-
(2004)
Phys. Rev. e
, vol.69
, pp. 061303
-
-
Santos, A.1
Garzó, V.2
Dufty, J.3
-
7
-
-
0033212053
-
-
JSTPBS 0022-4715 10.1023/A:1004675320309
-
J. J. Brey, J. W. Dufty, and A. Santos, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004675320309 97, 281 (1999). Note a misprint in Eq. (C11): The right-hand sides of the two equations should be multiplied by (d-1)(d+2)2 and d, respectively.
-
(1999)
J. Stat. Phys.
, vol.97
, pp. 281
-
-
Brey, J.J.1
Dufty, J.W.2
Santos, A.3
-
8
-
-
0032185855
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.58.4638
-
J. J. Brey, J. W. Dufty, C. S. Kim, and A. Santos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.4638 58, 4638 (1998).
-
(1998)
Phys. Rev. e
, vol.58
, pp. 4638
-
-
Brey, J.J.1
Dufty, J.W.2
Kim, C.S.3
Santos, A.4
-
10
-
-
84856130392
-
-
Note that, strictly speaking, the relationships λ′=λβ and τ′=τβ only hold if the EHS and IHS gases have the same density and temperature.
-
Note that, strictly speaking, the relationships λ′=λβ and τ′=τβ only hold if the EHS and IHS gases have the same density and temperature.
-
-
-
-
11
-
-
1842584401
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.69.011301
-
This must be distinguished from a system of rough spheres with a coefficient of normal restitution α=1. The latter system has been considered, for instance, by S. J. Moon, J. B. Swift, and H. L. Swinney, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.011301 69, 011301 (2004).
-
(2004)
Phys. Rev. e
, vol.69
, pp. 011301
-
-
Moon, S.J.1
Swift, J.B.2
Swinney, H.L.3
-
12
-
-
28844506166
-
-
edited by F. Mallamace and H. E. Stanley (IOS Press, Amsterdam
-
For a preliminary report of this research, see A. Astillero and A. Santos, in The Physics of Complex Systems (New Advances and Perspectives), edited by, F. Mallamace, and, H. E. Stanley, (IOS Press, Amsterdam, 2004), pp. 475-480.
-
(2004)
The Physics of Complex Systems (New Advances and Perspectives)
, pp. 475-480
-
-
Astillero, A.1
Santos, A.2
-
13
-
-
0021642448
-
-
JFLSA7 0022-1120
-
C. K. K. Lun, S. B. Savage, D. J. Jeffrey, and N. Chepurniy, J. Fluid Mech. JFLSA7 0022-1120 140, 223 (1984).
-
(1984)
J. Fluid Mech.
, vol.140
, pp. 223
-
-
Lun, C.K.K.1
Savage, S.B.2
Jeffrey, D.J.3
Chepurniy, N.4
-
15
-
-
0022138225
-
-
JORHD2 0148-6055 10.1122/1.549893
-
O. R. Walton and R. L. Braun, J. Rheol. JORHD2 0148-6055 10.1122/1. 549893 30, 949 (1986);
-
(1986)
J. Rheol.
, vol.30
, pp. 949
-
-
Walton, O.R.1
Braun, R.L.2
-
16
-
-
0022138225
-
-
AMHCAP 0001-5970 10.1122/1.549893
-
O. R. Walton and R. L. Braun, Acta Mech. AMHCAP 0001-5970 10.1122/1.549893 63, 73 (1986).
-
(1986)
Acta Mech.
, vol.63
, pp. 73
-
-
Walton, O.R.1
Braun, R.L.2
-
18
-
-
0024855805
-
-
JFLSA7 0022-1120
-
C. S. Campbell, J. Fluid Mech. JFLSA7 0022-1120 203, 449 (1989).
-
(1989)
J. Fluid Mech.
, vol.203
, pp. 449
-
-
Campbell, C.S.1
-
19
-
-
0025000507
-
-
ARVFA3 0066-4189 10.1146/annurev.fluid.22.1.57
-
C. S. Campbell, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev.fluid.22.1.57 22, 57 (1990).
-
(1990)
Annu. Rev. Fluid Mech.
, vol.22
, pp. 57
-
-
Campbell, C.S.1
-
20
-
-
0026806621
-
-
JFLSA7 0022-1120
-
S. B. Savage, J. Fluid Mech. JFLSA7 0022-1120 241, 109 (1992).
-
(1992)
J. Fluid Mech.
, vol.241
, pp. 109
-
-
Savage, S.B.1
-
24
-
-
0029673416
-
-
PHFLE6 1070-6631 10.1063/1.868951
-
I. Goldhirsch and M. L. Tan, Phys. Fluids PHFLE6 1070-6631 10.1063/1.868951 8, 1752 (1996).
-
(1996)
Phys. Fluids
, vol.8
, pp. 1752
-
-
Goldhirsch, I.1
Tan, M.L.2
-
26
-
-
0031246549
-
-
JFLSA7 0022-1120 10.1017/S0022112097006496
-
C. S. Campbell, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112097006496 348, 85 (1997).
-
(1997)
J. Fluid Mech.
, vol.348
, pp. 85
-
-
Campbell, C.S.1
-
28
-
-
0032183945
-
-
PHYADX 0378-4371 10.1016/S0378-4371(98)00265-9
-
C.-S. Chou and M. W. Richman, Physica A PHYADX 0378-4371 10.1016/S0378-4371(98)00265-9 259, 430 (1998);
-
(1998)
Physica A
, vol.259
, pp. 430
-
-
Chou, C.-S.1
Richman, M.W.2
-
29
-
-
0034322864
-
-
PHYADX 0378-4371 10.1016/S0378-4371(00)00258-2
-
C.-S. Chou, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00258-2 287, 127 (2000);
-
(2000)
Physica A
, vol.287
, pp. 127
-
-
Chou, C.-S.1
-
30
-
-
0035252768
-
-
PHYADX 0378-4371 10.1016/S0378-4371(00)00351-4
-
C.-S. Chou, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00351-4 290, 341 (2001).
-
(2001)
Physica A
, vol.290
, pp. 341
-
-
Chou, C.-S.1
-
31
-
-
0032660715
-
-
JFLSA7. 0022-1120. 10.1017/S0022112099005182
-
J. M. Montanero, V. Garzó, A. Santos, and J. J. Brey, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112099005182 389, 391 (1999).
-
(1999)
J. Fluid Mech.
, vol.389
, pp. 391
-
-
Montanero, J.M.1
Garzó, V.2
Santos, A.3
Brey, J.J.4
-
32
-
-
0033906050
-
-
PHYADX 0378-4371
-
V. Kumaran, Physica A PHYADX 0378-4371 275, 483 (2000);
-
(2000)
Physica A
, vol.275
, pp. 483
-
-
Kumaran, V.1
-
33
-
-
0034273991
-
-
PHYADX 0378-4371 10.1016/S0378-4371(00)00199-0
-
V. Kumaran, Physica A PHYADX 0378-4371 10.1016/S0378-4371(00)00199-0 284, 246 (2000);
-
(2000)
Physica A
, vol.284
, pp. 246
-
-
Kumaran, V.1
-
34
-
-
0035870818
-
-
PHYADX 0378-4371
-
V. Kumaran, Physica A PHYADX 0378-4371 293, 385 (2001).
-
(2001)
Physica A
, vol.293
, pp. 385
-
-
Kumaran, V.1
-
35
-
-
0033889984
-
-
PHYADX 0378-4371 10.1016/S0378-4371(99)00562-2
-
A. Frezzotti, Physica A PHYADX 0378-4371 10.1016/S0378-4371(99)00562-2 278, 161 (2000).
-
(2000)
Physica A
, vol.278
, pp. 161
-
-
Frezzotti, A.1
-
36
-
-
0035534231
-
-
JSTPBS 0022-4715 10.1023/A:1004804815471
-
C. Cercignani, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1004804815471 102, 1407 (2001).
-
(2001)
J. Stat. Phys.
, vol.102
, pp. 1407
-
-
Cercignani, C.1
-
37
-
-
0035363066
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.63.061308
-
M. Alam and C. M. Hrenya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.061308 63, 061308 (2001).
-
(2001)
Phys. Rev. e
, vol.63
, pp. 061308
-
-
Alam, M.1
Hrenya, C.M.2
-
38
-
-
41349090774
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.65.031301
-
R. Clelland and C. M. Hrenya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.031301 65, 031301 (2002).
-
(2002)
Phys. Rev. e
, vol.65
, pp. 031301
-
-
Clelland, R.1
Hrenya, C.M.2
-
39
-
-
37649030430
-
-
PLEEE8. 1063-651X. 10.1103/PhysRevE.66.021308
-
V. Garzó, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66. 021308 66, 021308 (2002);
-
(2002)
Phys. Rev. e
, vol.66
, pp. 021308
-
-
Garzó, V.1
-
40
-
-
0038175532
-
-
JSTPBS. 0022-4715
-
V. Garzó, J. Stat. Phys. JSTPBS 0022-4715 112, 657 (2003).
-
(2003)
J. Stat. Phys.
, vol.112
, pp. 657
-
-
Garzó, V.1
-
41
-
-
0036644385
-
-
PHYADX. 0378-4371. 10.1016/S0378-4371(02)00786-0
-
J. M. Montanero and V. Garzó, Physica A PHYADX 0378-4371 10.1016/S0378-4371(02)00786-0 310, 17 (2002);
-
(2002)
Physica A
, vol.310
, pp. 17
-
-
Montanero, J.M.1
Garzó, V.2
-
42
-
-
0345907158
-
-
MOSIEA. 0892-7022. 10.1080/0892702031000117207
-
J. M. Montanero and V. Garzó, Mol. Simul. MOSIEA 0892-7022 10.1080/0892702031000117207 29, 357 (2003).
-
(2003)
Mol. Simul.
, vol.29
, pp. 357
-
-
Montanero, J.M.1
Garzó, V.2
-
44
-
-
0346304799
-
-
PLEEE8. 1063-651X. 10.1103/PhysRevE.68.041302
-
V. Garzó and J. M. Montanero, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.041302 68, 041302 (2003).
-
(2003)
Phys. Rev. e
, vol.68
, pp. 041302
-
-
Garzó, V.1
Montanero, J.M.2
-
45
-
-
0037428892
-
-
JFLSA7 0022-1120 10.1017/S002211200200263X
-
M. Alam and S. Luding, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211200200263X 476, 69 (2003);
-
(2003)
J. Fluid Mech.
, vol.476
, pp. 69
-
-
Alam, M.1
Luding, S.2
-
46
-
-
0043285881
-
-
PHFLE6 1070-6631 10.1063/1.1587723
-
M. Alam and S. Luding, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1587723 15, 2298 (2003).
-
(2003)
Phys. Fluids
, vol.15
, pp. 2298
-
-
Alam, M.1
Luding, S.2
-
47
-
-
45849155628
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.70.061101
-
J. F. Lutsko, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.061101 70, 061101 (2004).
-
(2004)
Phys. Rev. e
, vol.70
, pp. 061101
-
-
Lutsko, J.F.1
-
49
-
-
0141526935
-
-
Kluwer Academic Publishers, Dordrecht
-
See, for instance, V. Garzó and A. Santos, Kinetic Theory of Gases in Shear Flows. Nonlinear Transport (Kluwer Academic Publishers, Dordrecht, 2003), Chaps., and references therein.
-
(2003)
Kinetic Theory of Gases in Shear Flows. Nonlinear Transport
-
-
Garzó, V.1
Santos, A.2
-
50
-
-
0035536422
-
-
JSTPBS. 0022-4715. 10.1023/A:1010317207358
-
M. Tij, E. Tahiri, J. M. Montanero, V. Garzó, A. Santos, and J. W. Dufty, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1010317207358 103, 1035 (2001).
-
(2001)
J. Stat. Phys.
, vol.103
, pp. 1035
-
-
Tij, M.1
Tahiri, E.2
Montanero, J.M.3
Garzó, V.4
Santos, A.5
Dufty, J.W.6
-
51
-
-
7544220267
-
-
JPSOAW 0022-3719 10.1088/0022-3719/5/15/006
-
A. W. Lees and S. F. Edwards, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/5/15/006 5, 1921 (1972).
-
(1972)
J. Phys. C
, vol.5
, pp. 1921
-
-
Lees, A.W.1
Edwards, S.F.2
-
52
-
-
0001429963
-
-
PLRAAN. 1050-2947. 10.1103/PhysRevA.33.459
-
J. W. Dufty, A. Santos, J. J. Brey, and R. F. Rodríguez, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.33.459 33, 459 (1986).
-
(1986)
Phys. Rev. A
, vol.33
, pp. 459
-
-
Dufty, J.W.1
Santos, A.2
Brey, J.J.3
Rodríguez, R.F.4
-
53
-
-
84856121969
-
-
To avoid confusion in the notation, we use the superscript 0 to refer to initial quantities (e.g., T0), while we usually employ the subscript 0 to denote local equilibrium quantities (e.g., ζ0).
-
To avoid confusion in the notation, we use the superscript 0 to refer to initial quantities (e.g., T0), while we usually employ the subscript 0 to denote local equilibrium quantities (e.g., ζ0).
-
-
-
-
55
-
-
0000503233
-
-
CPHYE2 0894-1866 10.1063/1.168619
-
F. J. Alexander and A. L. Garcia, Comput. Phys. CPHYE2 0894-1866 10.1063/1.168619 11, 588 (1997).
-
(1997)
Comput. Phys.
, vol.11
, pp. 588
-
-
Alexander, F.J.1
Garcia, A.L.2
-
56
-
-
0000800853
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.54.438
-
For an extension of the DSMC method to the Enskog equation, see J. M. Montanero and A. Santos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.438 54, 438 (1996);
-
(1996)
Phys. Rev. e
, vol.54
, pp. 438
-
-
Montanero, J.M.1
Santos, A.2
-
57
-
-
0030774828
-
-
PHFLE6 1070-6631 10.1063/1.869325
-
J. M. Montanero and A. Santos, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869325 9, 2057 (1997);
-
(1997)
Phys. Fluids
, vol.9
, pp. 2057
-
-
Montanero, J.M.1
Santos, A.2
-
58
-
-
0030813047
-
-
PHFLE6 1070-6631 10.1063/1.869247
-
A. Frezzotti, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869247 9, 1329 (1997).
-
(1997)
Phys. Fluids
, vol.9
, pp. 1329
-
-
Frezzotti, A.1
-
59
-
-
84856121968
-
-
cond-mat/0506013.
-
V. Garzó, cond-mat/0506013.
-
-
-
Garzó, V.1
-
60
-
-
26344468007
-
-
PHRVAO 0031-899X 10.1103/PhysRev.94.511
-
P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.94.511 94, 511 (1954);
-
(1954)
Phys. Rev.
, vol.94
, pp. 511
-
-
Bhatnagar, P.L.1
Gross, E.P.2
Krook, M.3
-
61
-
-
0000463429
-
-
AFYSA7 0365-2440
-
P. Welander, Ark. Fys. AFYSA7 0365-2440 7, 507 (1954).
-
(1954)
Ark. Fys.
, vol.7
, pp. 507
-
-
Welander, P.1
-
62
-
-
0032340997
-
-
GRMAFE 1434-5021 10.1007/s100350050009
-
T. P. C. van Noije and M. H. Ernst, Granular Matter GRMAFE 1434-5021 10.1007/s100350050009 1, 57 (1998).
-
(1998)
Granular Matter
, vol.1
, pp. 57
-
-
Van Noije, T.P.C.1
Ernst, M.H.2
-
63
-
-
0034401434
-
-
GRMAFE 1434-5021 10.1007/s100350050035
-
J. M. Montanero and A. Santos, Granular Matter GRMAFE 1434-5021 10.1007/s100350050035 2, 53 (2000).
-
(2000)
Granular Matter
, vol.2
, pp. 53
-
-
Montanero, J.M.1
Santos, A.2
-
64
-
-
7244221021
-
-
JSTPBS 0022-4715 10.1023/B:JOSS.0000041751.11664.ea
-
A. V. Bobylev, I. M. Gamba, and V. A. Panferov, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000041751.11664.ea 116, 1651 (2004).
-
(2004)
J. Stat. Phys.
, vol.116
, pp. 1651
-
-
Bobylev, A.V.1
Gamba, I.M.2
Panferov, V.A.3
|