release version 3.0.0 on 2014-01-23_20-29-19

This commit is contained in:
kloss
2014-01-23 20:29:19 +01:00
parent d68334d649
commit 613c6db0a3
4818 changed files with 997900 additions and 193977 deletions

0
README Executable file → Normal file
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@ -50,11 +50,11 @@ the USER-CUDA package. For example:
mpirun -np 1 ../lmp_linux_single -sf cuda -v g 1 -v x 16 -v y 16 -v z 16 -v t 100 < in.lj.cuda
mpirun -np 1 ../lmp_linux_double -sf cuda -v g 1 -v x 32 -v y 64 -v z 64 -v t 100 < in.eam.cuda
mpirun -np 2 ../lmp_linux_double -sf cuda -v g 2 -v x 32 -v y 64 -v z 64 -v t 100 < in.eam.cuda
The "xyz" settings determine the problem size. The "t" setting
determines the number of timesteps. The "np" setting determines how
many CPUs the problem will be run on, and the "g" setting determines
how many GPUs the problem will run on, i.e. 1 or 2 in this case. You
can use more CPUs than GPUs with the GPU package. You should make the
number of CPUs and number of GPUs equal for the USER-CUDA package.
should make the number of CPUs and number of GPUs equal for the
USER-CUDA package.

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@ -9,7 +9,7 @@ units real
neigh_modify delay 5 every 1
atom_style full
atom_modify map hash
#atom_modify map hash
bond_style harmonic
angle_style charmm
dihedral_style charmm

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# FENE beadspring benchmark
units lj
@ -32,18 +32,18 @@ thermo 100
timestep 0.012
run 100
Memory usage per processor = 11.3536 Mbytes
Memory usage per processor = 11.5156 Mbytes
Step Temp E_pair E_mol TotEng Press
0 0.97029772 0.44484087 20.494523 22.394765 4.6721833
100 0.9729966 0.4361122 20.507698 22.40326 4.6548819
Loop time of 1.00598 on 1 procs for 100 steps with 32000 atoms
Loop time of 0.992695 on 1 procs for 100 steps with 32000 atoms
Pair time (%) = 0.200669 (19.9477)
Bond time (%) = 0.116349 (11.5657)
Neigh time (%) = 0.434148 (43.1567)
Comm time (%) = 0.0310009 (3.08166)
Outpt time (%) = 9.799e-05 (0.00974076)
Other time (%) = 0.223714 (22.2385)
Pair time (%) = 0.200438 (20.1913)
Bond time (%) = 0.0872233 (8.78652)
Neigh time (%) = 0.450228 (45.3541)
Comm time (%) = 0.0333259 (3.35712)
Outpt time (%) = 9.58443e-05 (0.00965496)
Other time (%) = 0.221384 (22.3013)
Nlocal: 32000 ave 32000 max 32000 min
Histogram: 1 0 0 0 0 0 0 0 0 0

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# FENE beadspring benchmark
units lj
@ -32,18 +32,18 @@ thermo 100
timestep 0.012
run 100
Memory usage per processor = 4.80505 Mbytes
Memory usage per processor = 4.85536 Mbytes
Step Temp E_pair E_mol TotEng Press
0 0.97029772 0.44484087 20.494523 22.394765 4.6721833
100 0.97145835 0.43803883 20.502691 22.397872 4.626988
Loop time of 0.277092 on 4 procs for 100 steps with 32000 atoms
Loop time of 0.272427 on 4 procs for 100 steps with 32000 atoms
Pair time (%) = 0.0511394 (18.4557)
Bond time (%) = 0.030314 (10.94)
Neigh time (%) = 0.112937 (40.7578)
Comm time (%) = 0.0222602 (8.03351)
Outpt time (%) = 6.1214e-05 (0.0220915)
Other time (%) = 0.0603806 (21.7908)
Pair time (%) = 0.0509947 (18.7187)
Bond time (%) = 0.0227102 (8.33625)
Neigh time (%) = 0.116272 (42.6802)
Comm time (%) = 0.0213055 (7.82062)
Outpt time (%) = 7.23004e-05 (0.0265394)
Other time (%) = 0.0610721 (22.4178)
Nlocal: 8000 ave 8030 max 7974 min
Histogram: 1 0 0 1 0 1 0 0 0 1

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# FENE beadspring benchmark
variable x index 1
@ -48,18 +48,18 @@ thermo 100
timestep 0.012
run 100
Memory usage per processor = 13.3552 Mbytes
Memory usage per processor = 13.4806 Mbytes
Step Temp E_pair E_mol TotEng Press
0 0.97027498 0.44484087 20.494523 22.394765 4.6721833
100 0.97682955 0.44239968 20.500229 22.407862 4.6527025
Loop time of 1.16957 on 4 procs for 100 steps with 128000 atoms
Loop time of 1.188 on 4 procs for 100 steps with 128000 atoms
Pair time (%) = 0.227149 (19.4215)
Bond time (%) = 0.123806 (10.5856)
Neigh time (%) = 0.472906 (40.4341)
Comm time (%) = 0.0951706 (8.13721)
Outpt time (%) = 0.000224173 (0.0191671)
Other time (%) = 0.250317 (21.4025)
Pair time (%) = 0.226131 (19.0346)
Bond time (%) = 0.0970581 (8.16985)
Neigh time (%) = 0.506595 (42.6426)
Comm time (%) = 0.107507 (9.04943)
Outpt time (%) = 0.000239134 (0.0201291)
Other time (%) = 0.250472 (21.0834)
Nlocal: 32000 ave 32015 max 31983 min
Histogram: 1 0 1 0 0 0 0 0 1 1

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# LAMMPS benchmark of granular flow
# chute flow of 32000 atoms with frozen base at 26 degrees
@ -38,17 +38,17 @@ thermo_modify norm no
thermo 100
run 100
Memory usage per processor = 34.9301 Mbytes
Memory usage per processor = 21.0636 Mbytes
Step Atoms KinEng 1 Volume
0 32000 784139.13 1601.1263 29830.88
100 32000 784289.99 1571.0137 29831.804
Loop time of 0.54713 on 1 procs for 100 steps with 32000 atoms
0 32000 784139.13 1601.1263 29833.783
100 32000 784292.08 1571.0968 29834.707
Loop time of 0.54007 on 1 procs for 100 steps with 32000 atoms
Pair time (%) = 0.328969 (60.1262)
Neigh time (%) = 0.04423 (8.084)
Comm time (%) = 0.0182245 (3.33092)
Outpt time (%) = 0.00019002 (0.0347302)
Other time (%) = 0.155517 (28.4242)
Pair time (%) = 0.329372 (60.987)
Neigh time (%) = 0.0422847 (7.82949)
Comm time (%) = 0.0179758 (3.32842)
Outpt time (%) = 0.00019002 (0.0351843)
Other time (%) = 0.150247 (27.8199)
Nlocal: 32000 ave 32000 max 32000 min
Histogram: 1 0 0 0 0 0 0 0 0 0

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# LAMMPS benchmark of granular flow
# chute flow of 32000 atoms with frozen base at 26 degrees
@ -38,26 +38,26 @@ thermo_modify norm no
thermo 100
run 100
Memory usage per processor = 15.2765 Mbytes
Memory usage per processor = 10.5226 Mbytes
Step Atoms KinEng 1 Volume
0 32000 784139.13 1601.1263 29830.88
100 32000 784289.99 1571.0137 29831.804
Loop time of 0.146905 on 4 procs for 100 steps with 32000 atoms
0 32000 784139.13 1601.1263 29833.783
100 32000 784292.08 1571.0968 29834.707
Loop time of 0.135566 on 4 procs for 100 steps with 32000 atoms
Pair time (%) = 0.0729731 (49.6735)
Neigh time (%) = 0.0111947 (7.62035)
Comm time (%) = 0.0153095 (10.4213)
Outpt time (%) = 0.000119746 (0.0815122)
Other time (%) = 0.0473083 (32.2033)
Pair time (%) = 0.0668132 (49.2847)
Neigh time (%) = 0.0107402 (7.9225)
Comm time (%) = 0.0142344 (10.5)
Outpt time (%) = 0.000106156 (0.0783057)
Other time (%) = 0.043672 (32.2145)
Nlocal: 8000 ave 8010 max 7990 min
Nlocal: 8000 ave 8008 max 7992 min
Histogram: 2 0 0 0 0 0 0 0 0 2
Nghost: 2439 ave 2452 max 2426 min
Nghost: 2439 ave 2450 max 2428 min
Histogram: 2 0 0 0 0 0 0 0 0 2
Neighs: 29503.5 ave 30500 max 28507 min
Neighs: 29500.5 ave 30488 max 28513 min
Histogram: 2 0 0 0 0 0 0 0 0 2
Total # of neighbors = 118014
Ave neighs/atom = 3.68794
Total # of neighbors = 118002
Ave neighs/atom = 3.68756
Neighbor list builds = 2
Dangerous builds = 0

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# LAMMPS benchmark of granular flow
# chute flow of 32000 atoms with frozen base at 26 degrees
@ -20,8 +20,8 @@ read_data data.chute
replicate $x $y 1
replicate 2 $y 1
replicate 2 2 1
orthogonal box = (0 0 0) to (80 40 37.2887)
4 by 1 by 1 MPI processor grid
orthogonal box = (0 0 0) to (80 40 37.2923)
2 by 2 by 1 MPI processor grid
128000 atoms
pair_style gran/hooke/history 200000.0 NULL 50.0 NULL 0.5 0
@ -48,26 +48,26 @@ thermo_modify norm no
thermo 100
run 100
Memory usage per processor = 37.0464 Mbytes
Memory usage per processor = 21.8161 Mbytes
Step Atoms KinEng 1 Volume
0 128000 3136556.5 6404.5051 119323.52
100 128000 3137160 6284.0549 119327.22
Loop time of 0.893496 on 4 procs for 100 steps with 128000 atoms
0 128000 3136556.5 6404.5051 119335.13
100 128000 3137168.3 6284.3873 119338.83
Loop time of 1.01235 on 4 procs for 100 steps with 128000 atoms
Pair time (%) = 0.524706 (58.7251)
Neigh time (%) = 0.0462004 (5.17075)
Comm time (%) = 0.0590464 (6.60847)
Outpt time (%) = 0.00043273 (0.0484311)
Other time (%) = 0.26311 (29.4473)
Pair time (%) = 0.508497 (50.2295)
Neigh time (%) = 0.0454835 (4.49288)
Comm time (%) = 0.0667624 (6.59481)
Outpt time (%) = 0.00123399 (0.121894)
Other time (%) = 0.390371 (38.5609)
Nlocal: 32000 ave 32000 max 32000 min
Histogram: 4 0 0 0 0 0 0 0 0 0
Nghost: 5456 ave 5456 max 5456 min
Nghost: 5463 ave 5463 max 5463 min
Histogram: 4 0 0 0 0 0 0 0 0 0
Neighs: 115135 ave 115135 max 115135 min
Neighs: 115133 ave 115133 max 115133 min
Histogram: 4 0 0 0 0 0 0 0 0 0
Total # of neighbors = 460540
Ave neighs/atom = 3.59797
Total # of neighbors = 460532
Ave neighs/atom = 3.59791
Neighbor list builds = 2
Dangerous builds = 0

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# bulk Cu lattice
variable x index 1
@ -41,18 +41,18 @@ timestep 0.005
thermo 50
run 100
Memory usage per processor = 15.3728 Mbytes
Memory usage per processor = 15.3729 Mbytes
Step Temp E_pair E_mol TotEng Press
0 1600 -113280 0 -106662.09 18703.573
50 781.69049 -109873.35 0 -106640.13 52273.088
100 801.832 -109957.3 0 -106640.77 51322.821
Loop time of 5.8924 on 1 procs for 100 steps with 32000 atoms
Loop time of 5.89581 on 1 procs for 100 steps with 32000 atoms
Pair time (%) = 5.20714 (88.3704)
Neigh time (%) = 0.579568 (9.83586)
Comm time (%) = 0.0308812 (0.524085)
Outpt time (%) = 0.000219822 (0.0037306)
Other time (%) = 0.0745952 (1.26596)
Pair time (%) = 5.20005 (88.1991)
Neigh time (%) = 0.590692 (10.0188)
Comm time (%) = 0.0308192 (0.52273)
Outpt time (%) = 0.000217915 (0.00369609)
Other time (%) = 0.0740323 (1.25568)
Nlocal: 32000 ave 32000 max 32000 min
Histogram: 1 0 0 0 0 0 0 0 0 0

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# bulk Cu lattice
variable x index 1
@ -41,18 +41,18 @@ timestep 0.005
thermo 50
run 100
Memory usage per processor = 4.92442 Mbytes
Memory usage per processor = 4.92459 Mbytes
Step Temp E_pair E_mol TotEng Press
0 1600 -113280 0 -106662.09 18703.573
50 781.69049 -109873.35 0 -106640.13 52273.088
100 801.832 -109957.3 0 -106640.77 51322.821
Loop time of 1.58434 on 4 procs for 100 steps with 32000 atoms
Loop time of 1.62415 on 4 procs for 100 steps with 32000 atoms
Pair time (%) = 1.37178 (86.5835)
Neigh time (%) = 0.151559 (9.56606)
Comm time (%) = 0.0399128 (2.5192)
Outpt time (%) = 0.000169277 (0.0106844)
Other time (%) = 0.0209216 (1.32052)
Pair time (%) = 1.39691 (86.0084)
Neigh time (%) = 0.157564 (9.70131)
Comm time (%) = 0.0479782 (2.95404)
Outpt time (%) = 0.000121653 (0.00749025)
Other time (%) = 0.0215805 (1.32873)
Nlocal: 8000 ave 8008 max 7993 min
Histogram: 2 0 0 0 0 0 0 0 1 1

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# bulk Cu lattice
variable x index 1
@ -41,18 +41,18 @@ timestep 0.005
thermo 50
run 100
Memory usage per processor = 15.2892 Mbytes
Memory usage per processor = 15.2893 Mbytes
Step Temp E_pair E_mol TotEng Press
0 1600 -453120 0 -426647.73 18704.012
50 779.50001 -439457.02 0 -426560.06 52355.276
100 797.97828 -439764.76 0 -426562.07 51474.74
Loop time of 6.64398 on 4 procs for 100 steps with 128000 atoms
Loop time of 6.63538 on 4 procs for 100 steps with 128000 atoms
Pair time (%) = 5.7169 (86.0464)
Neigh time (%) = 0.659102 (9.92029)
Comm time (%) = 0.164221 (2.47173)
Outpt time (%) = 0.000294626 (0.00443448)
Other time (%) = 0.103457 (1.55716)
Pair time (%) = 5.70315 (85.9507)
Neigh time (%) = 0.671065 (10.1134)
Comm time (%) = 0.154897 (2.33441)
Outpt time (%) = 0.0003497 (0.00527024)
Other time (%) = 0.105914 (1.5962)
Nlocal: 32000 ave 32092 max 31914 min
Histogram: 1 0 0 1 0 1 0 0 0 1

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# 3d Lennard-Jones melt
variable x index 1
@ -43,13 +43,13 @@ Memory usage per processor = 13.2267 Mbytes
Step Temp E_pair E_mol TotEng Press
0 1.44 -6.7733681 0 -4.6134356 -5.0197073
100 0.7574531 -5.7585055 0 -4.6223613 0.20726105
Loop time of 2.24442 on 1 procs for 100 steps with 32000 atoms
Loop time of 2.24794 on 1 procs for 100 steps with 32000 atoms
Pair time (%) = 1.92371 (85.7108)
Neigh time (%) = 0.23672 (10.547)
Comm time (%) = 0.0241742 (1.07708)
Outpt time (%) = 0.000104189 (0.00464212)
Other time (%) = 0.059711 (2.66042)
Pair time (%) = 1.92284 (85.5376)
Neigh time (%) = 0.241012 (10.7215)
Comm time (%) = 0.0244191 (1.08629)
Outpt time (%) = 0.000105858 (0.0047091)
Other time (%) = 0.0595703 (2.64999)
Nlocal: 32000 ave 32000 max 32000 min
Histogram: 1 0 0 0 0 0 0 0 0 0

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# 3d Lennard-Jones melt
variable x index 1
@ -39,17 +39,17 @@ neigh_modify delay 0 every 20 check no
fix 1 all nve
run 100
Memory usage per processor = 4.31284 Mbytes
Memory usage per processor = 4.31295 Mbytes
Step Temp E_pair E_mol TotEng Press
0 1.44 -6.7733681 0 -4.6134356 -5.0197073
100 0.7574531 -5.7585055 0 -4.6223613 0.20726105
Loop time of 0.62139 on 4 procs for 100 steps with 32000 atoms
Loop time of 0.621459 on 4 procs for 100 steps with 32000 atoms
Pair time (%) = 0.502622 (80.8866)
Neigh time (%) = 0.0616071 (9.9144)
Comm time (%) = 0.0411073 (6.61538)
Outpt time (%) = 5.79953e-05 (0.00933316)
Other time (%) = 0.0159961 (2.57424)
Pair time (%) = 0.50556 (81.3506)
Neigh time (%) = 0.0630878 (10.1516)
Comm time (%) = 0.036548 (5.88099)
Outpt time (%) = 5.19753e-05 (0.00836343)
Other time (%) = 0.0162107 (2.60849)
Nlocal: 8000 ave 8037 max 7964 min
Histogram: 2 0 0 0 0 0 0 0 1 1

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@ -1,4 +1,4 @@
LAMMPS (10 Jan 2012)
LAMMPS (14 Aug 2013)
# 3d Lennard-Jones melt
variable x index 1
@ -39,17 +39,17 @@ neigh_modify delay 0 every 20 check no
fix 1 all nve
run 100
Memory usage per processor = 13.1495 Mbytes
Memory usage per processor = 13.1496 Mbytes
Step Temp E_pair E_mol TotEng Press
0 1.44 -6.7733681 0 -4.6133849 -5.0196788
100 0.75841891 -5.759957 0 -4.6223375 0.20008866
Loop time of 2.43423 on 4 procs for 100 steps with 128000 atoms
Loop time of 2.51513 on 4 procs for 100 steps with 128000 atoms
Pair time (%) = 2.04092 (83.8422)
Neigh time (%) = 0.238374 (9.79258)
Comm time (%) = 0.0766696 (3.14964)
Outpt time (%) = 0.000154495 (0.00634677)
Other time (%) = 0.0781193 (3.20919)
Pair time (%) = 2.06373 (82.0527)
Neigh time (%) = 0.246449 (9.79865)
Comm time (%) = 0.122232 (4.85986)
Outpt time (%) = 0.000143051 (0.00568762)
Other time (%) = 0.0825751 (3.28313)
Nlocal: 32000 ave 32060 max 31939 min
Histogram: 1 0 1 0 0 0 0 1 0 1

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@ -0,0 +1,99 @@
LAMMPS (14 Aug 2013)
# Rhodopsin model
units real
neigh_modify delay 5 every 1
atom_style full
bond_style harmonic
angle_style charmm
dihedral_style charmm
improper_style harmonic
pair_style lj/charmm/coul/long 8.0 10.0
pair_modify mix arithmetic
kspace_style pppm 1e-4
read_data data.rhodo
4 = max bonds/atom
8 = max angles/atom
18 = max dihedrals/atom
2 = max impropers/atom
orthogonal box = (-27.5 -38.5 -36.3646) to (27.5 38.5 36.3615)
1 by 1 by 1 MPI processor grid
32000 atoms
32000 velocities
27723 bonds
40467 angles
56829 dihedrals
1034 impropers
4 = max # of 1-2 neighbors
12 = max # of 1-3 neighbors
24 = max # of 1-4 neighbors
26 = max # of special neighbors
fix 1 all shake 0.0001 5 0 m 1.0 a 232
1617 = # of size 2 clusters
3633 = # of size 3 clusters
747 = # of size 4 clusters
4233 = # of frozen angles
fix 2 all npt temp 300.0 300.0 100.0 z 0.0 0.0 1000.0 mtk no pchain 0 tchain 1
special_bonds charmm
thermo 50
thermo_style multi
timestep 2.0
run 100
PPPM initialization ...
G vector (1/distance) = 0.248835
grid = 25 32 32
stencil order = 5
estimated absolute RMS force accuracy = 0.0355478
estimated relative force accuracy = 0.000107051
using double precision FFTs
3d grid and FFT values/proc = 41070 25600
Memory usage per processor = 139.238 Mbytes
---------------- Step 0 ----- CPU = 0.0000 (sec) ----------------
TotEng = -25356.2064 KinEng = 21444.8313 Temp = 299.0397
PotEng = -46801.0377 E_bond = 2537.9940 E_angle = 10921.3742
E_dihed = 5211.7865 E_impro = 213.5116 E_vdwl = -2307.8634
E_coul = 207025.8927 E_long = -270403.7333 Press = -142.6035
Volume = 307995.0335
---------------- Step 50 ----- CPU = 17.7652 (sec) ----------------
TotEng = -25330.0828 KinEng = 21501.0029 Temp = 299.8230
PotEng = -46831.0857 E_bond = 2471.7004 E_angle = 10836.4975
E_dihed = 5239.6299 E_impro = 227.1218 E_vdwl = -1993.2754
E_coul = 206797.6331 E_long = -270410.3930 Press = 237.6701
Volume = 308031.5639
---------------- Step 100 ----- CPU = 36.1527 (sec) ----------------
TotEng = -25290.7592 KinEng = 21592.0117 Temp = 301.0920
PotEng = -46882.7709 E_bond = 2567.9807 E_angle = 10781.9408
E_dihed = 5198.7432 E_impro = 216.7834 E_vdwl = -1902.4783
E_coul = 206659.2327 E_long = -270404.9733 Press = 6.9960
Volume = 308133.9888
Loop time of 36.1528 on 1 procs for 100 steps with 32000 atoms
Pair time (%) = 26.1216 (72.2533)
Bond time (%) = 1.27574 (3.52875)
Kspce time (%) = 3.25689 (9.00869)
Neigh time (%) = 4.3025 (11.9009)
Comm time (%) = 0.0688474 (0.190435)
Outpt time (%) = 0.000230074 (0.000636394)
Other time (%) = 1.127 (3.11732)
FFT time (% of Kspce) = 0.277417 (8.51784)
FFT Gflps 3d (1d only) = 1.87335 3.23863
Nlocal: 32000 ave 32000 max 32000 min
Histogram: 1 0 0 0 0 0 0 0 0 0
Nghost: 47958 ave 47958 max 47958 min
Histogram: 1 0 0 0 0 0 0 0 0 0
Neighs: 1.20281e+07 ave 1.20281e+07 max 1.20281e+07 min
Histogram: 1 0 0 0 0 0 0 0 0 0
Total # of neighbors = 12028107
Ave neighs/atom = 375.878
Ave special neighs/atom = 7.43187
Neighbor list builds = 11
Dangerous builds = 0

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@ -0,0 +1,99 @@
LAMMPS (14 Aug 2013)
# Rhodopsin model
units real
neigh_modify delay 5 every 1
atom_style full
bond_style harmonic
angle_style charmm
dihedral_style charmm
improper_style harmonic
pair_style lj/charmm/coul/long 8.0 10.0
pair_modify mix arithmetic
kspace_style pppm 1e-4
read_data data.rhodo
4 = max bonds/atom
8 = max angles/atom
18 = max dihedrals/atom
2 = max impropers/atom
orthogonal box = (-27.5 -38.5 -36.3646) to (27.5 38.5 36.3615)
1 by 2 by 2 MPI processor grid
32000 atoms
32000 velocities
27723 bonds
40467 angles
56829 dihedrals
1034 impropers
4 = max # of 1-2 neighbors
12 = max # of 1-3 neighbors
24 = max # of 1-4 neighbors
26 = max # of special neighbors
fix 1 all shake 0.0001 5 0 m 1.0 a 232
1617 = # of size 2 clusters
3633 = # of size 3 clusters
747 = # of size 4 clusters
4233 = # of frozen angles
fix 2 all npt temp 300.0 300.0 100.0 z 0.0 0.0 1000.0 mtk no pchain 0 tchain 1
special_bonds charmm
thermo 50
thermo_style multi
timestep 2.0
run 100
PPPM initialization ...
G vector (1/distance) = 0.248835
grid = 25 32 32
stencil order = 5
estimated absolute RMS force accuracy = 0.0355478
estimated relative force accuracy = 0.000107051
using double precision FFTs
3d grid and FFT values/proc = 13230 6400
Memory usage per processor = 54.595 Mbytes
---------------- Step 0 ----- CPU = 0.0000 (sec) ----------------
TotEng = -25356.2064 KinEng = 21444.8313 Temp = 299.0397
PotEng = -46801.0377 E_bond = 2537.9940 E_angle = 10921.3742
E_dihed = 5211.7865 E_impro = 213.5116 E_vdwl = -2307.8634
E_coul = 207025.8927 E_long = -270403.7333 Press = -142.6035
Volume = 307995.0335
---------------- Step 50 ----- CPU = 4.6553 (sec) ----------------
TotEng = -25330.0829 KinEng = 21501.0029 Temp = 299.8230
PotEng = -46831.0857 E_bond = 2471.7004 E_angle = 10836.4975
E_dihed = 5239.6299 E_impro = 227.1218 E_vdwl = -1993.2754
E_coul = 206797.6331 E_long = -270410.3930 Press = 237.6701
Volume = 308031.5639
---------------- Step 100 ----- CPU = 9.5123 (sec) ----------------
TotEng = -25290.7592 KinEng = 21592.0117 Temp = 301.0920
PotEng = -46882.7709 E_bond = 2567.9807 E_angle = 10781.9408
E_dihed = 5198.7432 E_impro = 216.7834 E_vdwl = -1902.4783
E_coul = 206659.2327 E_long = -270404.9733 Press = 6.9960
Volume = 308133.9888
Loop time of 9.51235 on 4 procs for 100 steps with 32000 atoms
Pair time (%) = 6.58797 (69.2571)
Bond time (%) = 0.319462 (3.35839)
Kspce time (%) = 1.08263 (11.3813)
Neigh time (%) = 1.08542 (11.4107)
Comm time (%) = 0.0859144 (0.903188)
Outpt time (%) = 0.000161052 (0.00169308)
Other time (%) = 0.350788 (3.68772)
FFT time (% of Kspce) = 0.0982845 (9.07835)
FFT Gflps 3d (1d only) = 5.28769 12.8216
Nlocal: 8000 ave 8143 max 7933 min
Histogram: 1 2 0 0 0 0 0 0 0 1
Nghost: 22733.5 ave 22769 max 22693 min
Histogram: 1 0 0 0 0 2 0 0 0 1
Neighs: 3.00703e+06 ave 3.0975e+06 max 2.96493e+06 min
Histogram: 1 2 0 0 0 0 0 0 0 1
Total # of neighbors = 12028107
Ave neighs/atom = 375.878
Ave special neighs/atom = 7.43187
Neighbor list builds = 11
Dangerous builds = 0

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LAMMPS (14 Aug 2013)
# Rhodopsin model
variable x index 1
variable y index 1
variable z index 1
units real
neigh_modify delay 5 every 1
atom_style full
atom_modify map hash
bond_style harmonic
angle_style charmm
dihedral_style charmm
improper_style harmonic
pair_style lj/charmm/coul/long 8.0 10.0
pair_modify mix arithmetic
kspace_style pppm 1e-4
read_data data.rhodo
4 = max bonds/atom
8 = max angles/atom
18 = max dihedrals/atom
2 = max impropers/atom
orthogonal box = (-27.5 -38.5 -36.3646) to (27.5 38.5 36.3615)
1 by 2 by 2 MPI processor grid
32000 atoms
32000 velocities
27723 bonds
40467 angles
56829 dihedrals
1034 impropers
4 = max # of 1-2 neighbors
12 = max # of 1-3 neighbors
24 = max # of 1-4 neighbors
26 = max # of special neighbors
replicate $x $y $z
replicate 2 $y $z
replicate 2 2 $z
replicate 2 2 1
orthogonal box = (-27.5 -38.5 -36.3646) to (82.5 115.5 36.3615)
2 by 2 by 1 MPI processor grid
128000 atoms
110892 bonds
161868 angles
227316 dihedrals
4136 impropers
4 = max # of 1-2 neighbors
12 = max # of 1-3 neighbors
24 = max # of 1-4 neighbors
26 = max # of special neighbors
fix 1 all shake 0.0001 5 0 m 1.0 a 232
6468 = # of size 2 clusters
14532 = # of size 3 clusters
2988 = # of size 4 clusters
16932 = # of frozen angles
fix 2 all npt temp 300.0 300.0 100.0 z 0.0 0.0 1000.0 mtk no pchain 0 tchain 1
special_bonds charmm
thermo 50
thermo_style multi
timestep 2.0
run 100
PPPM initialization ...
G vector (1/distance) = 0.248593
grid = 48 60 36
stencil order = 5
estimated absolute RMS force accuracy = 0.0359793
estimated relative force accuracy = 0.00010835
using double precision FFTs
3d grid and FFT values/proc = 41615 25920
Memory usage per processor = 146.358 Mbytes
---------------- Step 0 ----- CPU = 0.0000 (sec) ----------------
TotEng = -101425.4887 KinEng = 85779.3251 Temp = 299.0304
PotEng = -187204.8138 E_bond = 10151.9760 E_angle = 43685.4968
E_dihed = 20847.1460 E_impro = 854.0463 E_vdwl = -9231.4537
E_coul = 827053.5824 E_long = -1080565.6077 Press = -142.3092
Volume = 1231980.1340
---------------- Step 50 ----- CPU = 19.2151 (sec) ----------------
TotEng = -101320.2676 KinEng = 86003.4837 Temp = 299.8118
PotEng = -187323.7514 E_bond = 9887.1072 E_angle = 43346.7922
E_dihed = 20958.7032 E_impro = 908.4715 E_vdwl = -7973.4457
E_coul = 826141.3831 E_long = -1080592.7629 Press = 238.0161
Volume = 1232126.1855
---------------- Step 100 ----- CPU = 39.0436 (sec) ----------------
TotEng = -101158.1853 KinEng = 86355.6148 Temp = 301.0393
PotEng = -187513.8001 E_bond = 10272.0693 E_angle = 43128.6453
E_dihed = 20793.9759 E_impro = 867.0826 E_vdwl = -7586.7186
E_coul = 825583.7120 E_long = -1080572.5667 Press = 15.2151
Volume = 1232535.8423
Loop time of 39.0437 on 4 procs for 100 steps with 128000 atoms
Pair time (%) = 27.1533 (69.546)
Bond time (%) = 1.31501 (3.36805)
Kspce time (%) = 4.35908 (11.1646)
Neigh time (%) = 4.42268 (11.3275)
Comm time (%) = 0.229435 (0.587637)
Outpt time (%) = 0.000313759 (0.00080361)
Other time (%) = 1.56382 (4.00532)
FFT time (% of Kspce) = 0.466478 (10.7013)
FFT Gflps 3d (1d only) = 5.13382 11.4048
Nlocal: 32000 ave 32000 max 32000 min
Histogram: 4 0 0 0 0 0 0 0 0 0
Nghost: 47957 ave 47957 max 47957 min
Histogram: 4 0 0 0 0 0 0 0 0 0
Neighs: 1.20281e+07 ave 1.20572e+07 max 1.1999e+07 min
Histogram: 2 0 0 0 0 0 0 0 0 2
Total # of neighbors = 48112472
Ave neighs/atom = 375.879
Ave special neighs/atom = 7.43187
Neighbor list builds = 11
Dangerous builds = 0

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@ -1,98 +0,0 @@
LAMMPS (10 Jan 2012)
# Rhodopsin model
units real
neigh_modify delay 5 every 1
atom_style full
bond_style harmonic
angle_style charmm
dihedral_style charmm
improper_style harmonic
pair_style lj/charmm/coul/long 8.0 10.0
pair_modify mix arithmetic
kspace_style pppm 1e-4
read_data data.rhodo
4 = max bonds/atom
8 = max angles/atom
18 = max dihedrals/atom
2 = max impropers/atom
orthogonal box = (-27.5 -38.5 -36.3646) to (27.5 38.5 36.3615)
1 by 1 by 1 MPI processor grid
32000 atoms
32000 velocities
27723 bonds
40467 angles
56829 dihedrals
1034 impropers
4 = max # of 1-2 neighbors
12 = max # of 1-3 neighbors
24 = max # of 1-4 neighbors
26 = max # of special neighbors
fix 1 all shake 0.0001 5 0 m 1.0 a 232
1617 = # of size 2 clusters
3633 = # of size 3 clusters
747 = # of size 4 clusters
4233 = # of frozen angles
fix 2 all npt temp 300.0 300.0 100.0 z 0.0 0.0 1000.0 mtk no pchain 0 tchain 1
special_bonds charmm
thermo 50
thermo_style multi
timestep 2.0
run 100
PPPM initialization ...
G vector = 0.248831
grid = 25 32 32
stencil order = 5
RMS precision = 7.57143e-05
using double precision FFTs
brick FFT buffer size/proc = 41070 25600 12321
Memory usage per processor = 138.965 Mbytes
---------------- Step 0 ----- CPU = 0.0000 (sec) ----------------
TotEng = -25356.2055 KinEng = 21444.8313 Temp = 299.0397
PotEng = -46801.0368 E_bond = 2537.9940 E_angle = 10921.3742
E_dihed = 5211.7865 E_impro = 213.5116 E_vdwl = -2307.8634
E_coul = 207021.6603 E_long = -270399.5000 Press = -142.6030
Volume = 307995.0335
---------------- Step 50 ----- CPU = 17.8190 (sec) ----------------
TotEng = -25330.0783 KinEng = 21501.0023 Temp = 299.8230
PotEng = -46831.0806 E_bond = 2471.7004 E_angle = 10836.4977
E_dihed = 5239.6299 E_impro = 227.1218 E_vdwl = -1993.2753
E_coul = 206793.4044 E_long = -270406.1594 Press = 237.6744
Volume = 308031.5641
---------------- Step 100 ----- CPU = 36.2635 (sec) ----------------
TotEng = -25290.7642 KinEng = 21592.0080 Temp = 301.0920
PotEng = -46882.7722 E_bond = 2567.9806 E_angle = 10781.9408
E_dihed = 5198.7431 E_impro = 216.7832 E_vdwl = -1902.4804
E_coul = 206654.9995 E_long = -270400.7390 Press = 6.9875
Volume = 308133.9900
Loop time of 36.2636 on 1 procs for 100 steps with 32000 atoms
Pair time (%) = 25.8498 (71.283)
Bond time (%) = 1.49598 (4.1253)
Kspce time (%) = 3.27236 (9.02382)
Neigh time (%) = 4.27552 (11.7901)
Comm time (%) = 0.0665278 (0.183456)
Outpt time (%) = 0.000251055 (0.000692305)
Other time (%) = 1.30319 (3.59366)
FFT time (% of Kspce) = 0.279837 (8.55152)
FFT Gflps 3d (1d only) = 1.85715 3.22108
Nlocal: 32000 ave 32000 max 32000 min
Histogram: 1 0 0 0 0 0 0 0 0 0
Nghost: 47958 ave 47958 max 47958 min
Histogram: 1 0 0 0 0 0 0 0 0 0
Neighs: 1.20281e+07 ave 1.20281e+07 max 1.20281e+07 min
Histogram: 1 0 0 0 0 0 0 0 0 0
Total # of neighbors = 12028107
Ave neighs/atom = 375.878
Ave special neighs/atom = 7.43187
Neighbor list builds = 11
Dangerous builds = 0

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@ -1,98 +0,0 @@
LAMMPS (10 Jan 2012)
# Rhodopsin model
units real
neigh_modify delay 5 every 1
atom_style full
bond_style harmonic
angle_style charmm
dihedral_style charmm
improper_style harmonic
pair_style lj/charmm/coul/long 8.0 10.0
pair_modify mix arithmetic
kspace_style pppm 1e-4
read_data data.rhodo
4 = max bonds/atom
8 = max angles/atom
18 = max dihedrals/atom
2 = max impropers/atom
orthogonal box = (-27.5 -38.5 -36.3646) to (27.5 38.5 36.3615)
1 by 2 by 2 MPI processor grid
32000 atoms
32000 velocities
27723 bonds
40467 angles
56829 dihedrals
1034 impropers
4 = max # of 1-2 neighbors
12 = max # of 1-3 neighbors
24 = max # of 1-4 neighbors
26 = max # of special neighbors
fix 1 all shake 0.0001 5 0 m 1.0 a 232
1617 = # of size 2 clusters
3633 = # of size 3 clusters
747 = # of size 4 clusters
4233 = # of frozen angles
fix 2 all npt temp 300.0 300.0 100.0 z 0.0 0.0 1000.0 mtk no pchain 0 tchain 1
special_bonds charmm
thermo 50
thermo_style multi
timestep 2.0
run 100
PPPM initialization ...
G vector = 0.248831
grid = 25 32 32
stencil order = 5
RMS precision = 7.57143e-05
using double precision FFTs
brick FFT buffer size/proc = 13230 6400 5670
Memory usage per processor = 54.4744 Mbytes
---------------- Step 0 ----- CPU = 0.0000 (sec) ----------------
TotEng = -25356.2055 KinEng = 21444.8313 Temp = 299.0397
PotEng = -46801.0368 E_bond = 2537.9940 E_angle = 10921.3742
E_dihed = 5211.7865 E_impro = 213.5116 E_vdwl = -2307.8634
E_coul = 207021.6603 E_long = -270399.5000 Press = -142.6030
Volume = 307995.0335
---------------- Step 50 ----- CPU = 4.7389 (sec) ----------------
TotEng = -25330.0783 KinEng = 21501.0023 Temp = 299.8230
PotEng = -46831.0806 E_bond = 2471.7004 E_angle = 10836.4977
E_dihed = 5239.6299 E_impro = 227.1218 E_vdwl = -1993.2753
E_coul = 206793.4044 E_long = -270406.1594 Press = 237.6744
Volume = 308031.5641
---------------- Step 100 ----- CPU = 9.6394 (sec) ----------------
TotEng = -25290.7642 KinEng = 21592.0080 Temp = 301.0920
PotEng = -46882.7722 E_bond = 2567.9806 E_angle = 10781.9408
E_dihed = 5198.7431 E_impro = 216.7832 E_vdwl = -1902.4804
E_coul = 206654.9995 E_long = -270400.7390 Press = 6.9875
Volume = 308133.9900
Loop time of 9.63943 on 4 procs for 100 steps with 32000 atoms
Pair time (%) = 6.60502 (68.5208)
Bond time (%) = 0.375643 (3.89695)
Kspce time (%) = 1.09311 (11.3399)
Neigh time (%) = 1.08158 (11.2203)
Comm time (%) = 0.0815379 (0.845879)
Outpt time (%) = 0.000157952 (0.00163861)
Other time (%) = 0.402393 (4.17445)
FFT time (% of Kspce) = 0.0966156 (8.83863)
FFT Gflps 3d (1d only) = 5.37903 12.4303
Nlocal: 8000 ave 8143 max 7933 min
Histogram: 1 2 0 0 0 0 0 0 0 1
Nghost: 22733.5 ave 22769 max 22693 min
Histogram: 1 0 0 0 0 2 0 0 0 1
Neighs: 3.00703e+06 ave 3.0975e+06 max 2.96493e+06 min
Histogram: 1 2 0 0 0 0 0 0 0 1
Total # of neighbors = 12028107
Ave neighs/atom = 375.878
Ave special neighs/atom = 7.43187
Neighbor list builds = 11
Dangerous builds = 0

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@ -1,119 +0,0 @@
LAMMPS (10 Jan 2012)
# Rhodopsin model
variable x index 1
variable y index 1
variable z index 1
units real
neigh_modify delay 5 every 1
atom_style full
atom_modify map hash
bond_style harmonic
angle_style charmm
dihedral_style charmm
improper_style harmonic
pair_style lj/charmm/coul/long 8.0 10.0
pair_modify mix arithmetic
kspace_style pppm 1e-4
read_data data.rhodo
4 = max bonds/atom
8 = max angles/atom
18 = max dihedrals/atom
2 = max impropers/atom
orthogonal box = (-27.5 -38.5 -36.3646) to (27.5 38.5 36.3615)
1 by 2 by 2 MPI processor grid
32000 atoms
32000 velocities
27723 bonds
40467 angles
56829 dihedrals
1034 impropers
4 = max # of 1-2 neighbors
12 = max # of 1-3 neighbors
24 = max # of 1-4 neighbors
26 = max # of special neighbors
replicate $x $y $z
replicate 2 $y $z
replicate 2 2 $z
replicate 2 2 1
orthogonal box = (-27.5 -38.5 -36.3646) to (82.5 115.5 36.3615)
2 by 2 by 1 MPI processor grid
128000 atoms
110892 bonds
161868 angles
227316 dihedrals
4136 impropers
4 = max # of 1-2 neighbors
12 = max # of 1-3 neighbors
24 = max # of 1-4 neighbors
26 = max # of special neighbors
fix 1 all shake 0.0001 5 0 m 1.0 a 232
6468 = # of size 2 clusters
14532 = # of size 3 clusters
2988 = # of size 4 clusters
16932 = # of frozen angles
fix 2 all npt temp 300.0 300.0 100.0 z 0.0 0.0 1000.0 mtk no pchain 0 tchain 1
special_bonds charmm
thermo 50
thermo_style multi
timestep 2.0
run 100
PPPM initialization ...
G vector = 0.248586
grid = 48 60 36
stencil order = 5
RMS precision = 7.66425e-05
using double precision FFTs
brick FFT buffer size/proc = 41615 25920 12915
Memory usage per processor = 146.135 Mbytes
---------------- Step 0 ----- CPU = 0.0000 (sec) ----------------
TotEng = -101425.4826 KinEng = 85779.3251 Temp = 299.0304
PotEng = -187204.8077 E_bond = 10151.9760 E_angle = 43685.4968
E_dihed = 20847.1460 E_impro = 854.0463 E_vdwl = -9231.4537
E_coul = 827025.3556 E_long = -1080537.3749 Press = -142.3084
Volume = 1231980.1340
---------------- Step 50 ----- CPU = 19.1088 (sec) ----------------
TotEng = -101320.2612 KinEng = 86003.4849 Temp = 299.8118
PotEng = -187323.7461 E_bond = 9887.1072 E_angle = 43346.7920
E_dihed = 20958.7034 E_impro = 908.4715 E_vdwl = -7973.4456
E_coul = 826113.1533 E_long = -1080564.5278 Press = 238.0165
Volume = 1232126.1854
---------------- Step 100 ----- CPU = 39.1056 (sec) ----------------
TotEng = -101158.1517 KinEng = 86355.6231 Temp = 301.0394
PotEng = -187513.7747 E_bond = 10272.0700 E_angle = 43128.6453
E_dihed = 20793.9768 E_impro = 867.0826 E_vdwl = -7586.7196
E_coul = 825555.5009 E_long = -1080544.3307 Press = 15.2192
Volume = 1232535.8453
Loop time of 39.1057 on 4 procs for 100 steps with 128000 atoms
Pair time (%) = 27.0353 (69.1339)
Bond time (%) = 1.5462 (3.9539)
Kspce time (%) = 4.17715 (10.6817)
Neigh time (%) = 4.37974 (11.1997)
Comm time (%) = 0.208052 (0.532026)
Outpt time (%) = 0.000296533 (0.000758287)
Other time (%) = 1.75896 (4.49797)
FFT time (% of Kspce) = 0.535835 (12.8278)
FFT Gflps 3d (1d only) = 4.46931 11.0706
Nlocal: 32000 ave 32000 max 32000 min
Histogram: 4 0 0 0 0 0 0 0 0 0
Nghost: 47957 ave 47957 max 47957 min
Histogram: 4 0 0 0 0 0 0 0 0 0
Neighs: 1.20281e+07 ave 1.20572e+07 max 1.1999e+07 min
Histogram: 2 0 0 0 0 0 0 0 0 2
Total # of neighbors = 48112468
Ave neighs/atom = 375.879
Ave special neighs/atom = 7.43187
Neighbor list builds = 11
Dangerous builds = 0

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@ -1,9 +0,0 @@
libfwrapper.c is a C file that wraps the LAMMPS library API
in src/library.h so that it can be called from Fortran.
See the couple/simple/simple.f90 program for an example
of a Fortran code that does this.
See the README file in that dir for instructions
on how to build a Fortran code that uses this
wrapper and links to the LAMMPS library.

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\documentclass[12pt]{article}
\begin{document}
$$
E = K [C_0 + C_1 \cos ( \theta) + C_2 \cos( 2 \theta) ]
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
E = K [ 1.0 + c \cos ( n \theta) ]
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
E = K_2 (\theta - \theta_0)^2 + K_3 (\theta - \theta_0)^3 + K_4 (\theta - \theta_0)^4
$$
\end{document}

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\documentstyle[12pt]{article}
\begin{document}
$$
NGP(t) = 3<(r(t)-r(0))^4>/(5<(r(t)-r(0))^2>^2) - 1
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
E = \sum_{i=1,m} K_i [ 1.0 + \cos ( n_i \phi - d_i ) ]
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
E = \sum_{n=1,n} A_n \cos^{n-1}(\phi)
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
E = K (\phi - \phi_0)^2
$$
\end{document}

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9
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\documentstyle[12pt]{article}
\begin{document}
$$
E_{Pauli(ECP_s)}=p_1\exp\left(-\frac{p_2r^2}{p_3+s^2} \right)
$$
\end{document}

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\documentstyle[12pt]{article}
\begin{document}
$$
E_{Pauli(ECP_p)}=p_1\left( \frac{2}{p_2/s+s/p_2} \right)\left( r-p_3s\right)^2\exp \left[ -\frac{p_4\left( r-p_3s \right)^2}{p_5+s^2} \right]
$$

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\documentclass[12pt]{article}
\usepackage{amsmath}
\begin{document}
\begin{align*}
&{\bf F}_{j}(t) = {\bf F}^C_j(t)-\int \limits_{0}^{t} \Gamma_j(t-s) {\bf v}_j(s)~\text{d}s + {\bf F}^R_j(t) \\
&\Gamma_j(t-s) = \sum \limits_{k=1}^{N_k} \frac{c_k}{\tau_k} e^{-(t-s)/\tau_k} \\
&\langle{\bf F}^R_j(t),{\bf F}^R_j(s)\rangle = \text{k$_\text{B}$T} ~\Gamma_j(t-s)
\end{align*}
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
\left(\partial_t + e_{i\alpha}\partial_{\alpha}\right)f_i = -\frac{1}{\tau}\left(f_i - f_i^{eq}\right) + W_i
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
{\bf F}_{j \alpha} = \gamma \left({\bf v}_n - {\bf u}_f \right) \zeta_{j\alpha}
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
\gamma = \frac{2m_um_v}{m_u+m_v}\left(\frac{1}{\Delta t_{collision}}\right)
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
\partial_t \rho + \partial_{\beta}\left(\rho u_{\beta}\right)= 0
$$
$$
\partial_t\left(\rho u_{\alpha}\right) + \partial_{\beta}\left(\rho u_{\alpha} u_{\beta}\right) = \partial_{\beta}\sigma_{\alpha \beta} + F_{\alpha} + \partial_{\beta}\left(\eta_{\alpha \beta \gamma \nu}\partial_{\gamma} u_{\nu}\right)
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
\rho = \displaystyle\sum\limits_{i} f_i
$$
$$
\rho u_{\alpha} = \displaystyle\sum\limits_{i} f_i e_{i\alpha}
$$
\end{document}

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doc/Eqs/fix_lb_fluid_stress.tex Executable file
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\documentclass[12pt]{article}
\begin{document}
$$
\sigma_{\alpha \beta} = -P_{\alpha \beta} = -\rho a_0 \delta_{\alpha \beta}
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
\eta_{\alpha \beta \gamma \nu} = \eta\left[\delta_{\alpha \gamma}\delta_{\beta \nu} + \delta_{\alpha \nu}\delta_{\beta \gamma} - \frac{2}{3}\delta_{\alpha \beta}\delta_{\gamma \nu}\right] + \Lambda \delta_{\alpha \beta}\delta_{\gamma \nu}
$$
\end{document}

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\documentclass[12pt]{article}
\usepackage{amsmath}
\begin{document}
$$
F_{\text{total}} = \lambda F_{\text{int}}
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
\lambda(\tau) = \lambda_i + \tau \left( \lambda_f - \lambda_i \right)
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
\lambda(\tau) = \frac{\lambda_i}{1 + \tau \left( \frac{\lambda_i}{\lambda_f} - 1 \right)}
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
\lambda(\tau) = \frac{\lambda_i}{ 1 + \log_2(1+\tau) \left( \frac{\lambda_i}{\lambda_f} - 1 \right)}
$$
\end{document}

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\documentclass[12pt]{article}
\usepackage{amsmath}
\begin{document}
$$
F_{\text{total}} = \left( 1-\lambda \right) F_{\text{solid}} + \lambda F_{\text{harm}}
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
\lambda(\tau) = \tau
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
\lambda(\tau) = \tau^5 \left( 70 \tau^4 - 315 \tau^3 + 540 \tau^2 - 420 \tau + 126 \right)
$$
\end{document}

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@ -3,7 +3,7 @@
\begin{document}
\begin{eqnarray}
E &=& 144 \phi^2 \epsilon \left[ \frac{\sigma^{6}}{7560}
E &=& \epsilon \left[ \frac{\sigma^{6}}{7560}
\left(\frac{6R-D}{D^{7}} + \frac{D+8R}{(D+2R)^{7}} \right) -
\frac{}{} \right. \nonumber \\
&&\qquad \left. \frac{1}{6} \left(\frac{2R(D+R) + D(D+2R)

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\documentstyle[12pt]{article}
\begin{document}
$$
E = 2 \pi \epsilon \left[ \frac{2}{5} \left(\frac{\sigma}{r}\right)^{10} -
\left(\frac{\sigma}{r}\right)^4 -
\frac{\sqrt(2)\sigma^3}{3\left(r+\left(0.61/\sqrt(2)\right)\sigma\right)^3}\right]
\qquad r < r_c
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
E = \frac{1}{2} K \cos^2{\left(\chi - \chi_0\right)}
$$
\end{document}

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\documentclass[12pt]{article}
\begin{document}
$$
E = K [C_0 + C_1 \cos ( \omega) + C_2 \cos( 2 \omega) ]
$$
\end{document}

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doc/Eqs/improper_ring.tex Normal file
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\documentclass[12pt]{article}
\begin{document}
\begin{eqnarray*}
E & = &\frac{1}{6} K \left(\Delta_{ijl} + \Delta_{ijk} + \Delta_{kjl} \right)^6 \\
\Delta_{ijl} & = & \cos{\theta_{ijl} - \cos{\theta_0}} \\
\Delta_{ijk} & = & \cos{\theta_{ijk} - \cos{\theta_0}} \\
\Delta_{kjl} & = & \cos{\theta_{kjl} - \cos{\theta_0}}
\end{eqnarray*}
\end{document}

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9
doc/Eqs/pair_bop.tex Normal file
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\documentclass[12pt]{article}
\begin{document}
$$
E = \frac{1}{2} \sum_{i=1}^{N} \sum_{j=i_1}^{i_N} \phi_{ij} \left( r_{ij} \right) - \sum_{i=1}^{N} \sum_{j=i_1}^{i_N} \beta_{\sigma,ij} \left( r_{ij} \right) \cdot \Theta_{\sigma,ij} - \sum_{i=1}^{N} \sum_{j=i_1}^{i_N} \beta_{\pi,ij} \left( r_{ij} \right) \cdot \Theta_{\pi,ij} + U_{prom}
$$
\end{document}

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@ -1,12 +1,7 @@
\documentclass[12pt]{article}
\begin{document}
\begin{document} \large
\begin{eqnarray*}
E_T & = & \sum_i [ E_i^S + \frac{1}{2} \sum_{j \neq i} V_{ij}
(r_{ij},q_i,q_j) + E_i^{BB} ] \\
V_{ij}(r_{ij},q_i,q_j) & = & U_{ij}^R(r_{ij}) + U_{ij}^A(r_{ij},
q_i,q_j) + U_{ij}^I(r_{ij},q_i,q_j) + U_{ij}^V(r_{ij}) \\
E_T & = & \sum_i [ E_i^{self} (q_i) + \sum_{j>i} [E_{ij}^{short} (r_{ij}, q_i, q_j) + E_{ij}^{Coul} (r_{ij}, q_i, q_j)] + \\
&& E^{polar} (q_i, r_{ij}) + E^{vdW} (r_{ij}) + E^{barr} (q_i) + E^{corr} (r_{ij}, \theta_{jik})] \\
\end{eqnarray*}
\end{document}

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\begin{document}
\begin{eqnarray*}
U_{ij}^R(r_{ij}) & = & f_{S_{ij}} A_{ij} \exp (-\lambda_{ij} r_{ij}) \\
U_{ij}^A(r_{ij},q_i,q_j) & = & -f_{S_{ij}} b_{ij} B_{ij} \exp (-\alpha_{ij} r_{ij}) \\
U_{ij}^I(r_{ij},q_i,q_j) & = & J_{ij} (r_{ij}) q_i q_j \\
U_{ij}^V(r_{ij}) & = & f_{L_{ij}} (C_{VDW_i}C_{VDW_j})^\frac{1}{2}/r_{ij}^6 \\
\end{eqnarray*}
\begin{table}[h]
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline
& $O$ & $Cu$ & $N$ & $C$ & $H$ & $Ti$ & $Zn$ \\ \hline
$O$ & F & F & F & F & F & F & F \\ \hline
$Cu$ & F & F & P & F & F & P & F \\ \hline
$N$ & F & P & F & M & F & P & P \\ \hline
$C$ & F & F & M & F & F & M & M \\ \hline
$H$ & F & F & F & F & F & M & M \\ \hline
$Ti$ & F & P & P & M & M & F & P \\ \hline
$Zn$ & F & F & P & M & M & P & F \\ \hline
\multicolumn{8}{l}{F: Fully optimized} \\
\multicolumn{8}{l}{M: Only optimized for dimer molecule} \\
\multicolumn{8}{l}{P: in Progress but have it from mixing rule} \\
\end{tabular}
\end{table}
\end{document}

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10
doc/Eqs/pair_coul_dsf.tex Normal file
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\documentclass[12pt]{article}
\begin{document}
$$
E =
q_iq_j \left[ \frac{\mbox{erfc} (\alpha r)}{r} - \frac{\mbox{erfc} (\alpha r_c)}{r_c} +
\left( \frac{\mbox{erfc} (\alpha r_c)}{r_c^2} + \frac{2\alpha}{\sqrt{\pi}}\frac{\exp (-\alpha^2 r^2_c)}{r_c} \right)(r-r_c) \right] \qquad r < r_c
$$
\end{document}

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\documentclass[12pt]{article}
\pagestyle{empty}
\begin{document}
$$
E = A \exp(-B r^2) \qquad r < r_c
E = - A \exp(-B r^2) \qquad r < r_c
$$
\end{document}

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@ -8,7 +8,10 @@ E_{LJ} & = & 4 \epsilon \left[ \left(\frac{\sigma}{r}\right)^{12} -
\qquad r < r_c \\
E_C & = & \frac{C q_i q_j}{\epsilon r} + S_C(r) \qquad r < r_c \\
S(r) & = & C \qquad r < r_1 \\
S(r) & = & \frac{A}{3} (r - r_1)^3 + \frac{B}{4} (r - r_1)^4 + C \qquad r_1 < r < r_c
S(r) & = & \frac{A}{3} (r - r_1)^3 + \frac{B}{4} (r - r_1)^4 + C \qquad r_1 < r < r_c \\
A & = & (-3 E'(r_c) + (r_c - r_1) E''(r_c))/(r_c - r_1)^2 \\
B & = & (2 E'(r_c) - (r_c - r_1) E''(r_c))/(r_c - r_1)^3 \\
C & = & -E(r_c) + \frac{1}{2} (r_c - r_1) E'(r_c) - \frac{1}{12} (r_c - r_1)^2 E''(r_c)) \\
\end{eqnarray*}
\end{document}

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