From acd9c7950e2ef83e9793fb07bbcabb2f52afa015 Mon Sep 17 00:00:00 2001 From: davidfir3 <491197586@qq.com> Date: Thu, 31 Mar 2022 12:25:10 +0800 Subject: [PATCH] update doc and example --- doc/src/compute_fep_ta.rst | 2 + examples/PACKAGES/fep/README.md | 2 + examples/PACKAGES/fep/ta/data.spce | 6174 ++++++++++++++++++++++++++ examples/PACKAGES/fep/ta/in.spce.lmp | 49 + examples/PACKAGES/fep/ta/log.spce | 689 +++ examples/PACKAGES/fep/ta/spce.fep.ta | 22 + 6 files changed, 6938 insertions(+) create mode 100644 examples/PACKAGES/fep/ta/data.spce create mode 100644 examples/PACKAGES/fep/ta/in.spce.lmp create mode 100644 examples/PACKAGES/fep/ta/log.spce create mode 100644 examples/PACKAGES/fep/ta/spce.fep.ta diff --git a/doc/src/compute_fep_ta.rst b/doc/src/compute_fep_ta.rst index ad6b1ede82..eeb4a10915 100644 --- a/doc/src/compute_fep_ta.rst +++ b/doc/src/compute_fep_ta.rst @@ -76,6 +76,8 @@ example, the computed values can be averaged using :doc:`fix ave/time Restrictions """""""""""" +Constraints, like fix shake, may lead to incorrect values for energy difference. + This compute is distributed as the FEP package. It is only enabled if LAMMPS was built with that package. See the :doc:`Build package ` page for more info. diff --git a/examples/PACKAGES/fep/README.md b/examples/PACKAGES/fep/README.md index d8f0935115..0ccf3d10c3 100644 --- a/examples/PACKAGES/fep/README.md +++ b/examples/PACKAGES/fep/README.md @@ -23,3 +23,5 @@ to the final states. * `quicktests` -- very short runs with charged Lennard-Jones atoms to test *compute fep*, *fix adapt/fep* and *pair lj/cut/coul/long/soft*. + +* `ta` -- surface tension of SPCE water without constraints. Test-area method. diff --git a/examples/PACKAGES/fep/ta/data.spce b/examples/PACKAGES/fep/ta/data.spce new file mode 100644 index 0000000000..7ed4c1cedc --- /dev/null +++ b/examples/PACKAGES/fep/ta/data.spce @@ -0,0 +1,6174 @@ +LAMMPS Description + + 3072 atoms + 2048 bonds + 1024 angles + 0 dihedrals + 0 impropers + + 2 atom types + 1 bond types + 1 angle types + + 0.0 30 xlo xhi + 0.0 30 ylo yhi + 0.0 100 zlo zhi + +Masses + +1 15.9994 # O +2 1.008 # H + +Atoms # full + +1 1 1 -0.8476 0.0 0.0 25.0 +2 1 2 0.4238 0.8164904 0.0 25.577359 +3 1 2 0.4238 -0.8164904 0.0 25.577359 +4 2 1 -0.8476 0.0 0.0 28.10342 +5 2 2 0.4238 0.8164904 0.0 28.680779 +6 2 2 0.4238 -0.8164904 0.0 28.680779 +7 3 1 -0.8476 0.0 0.0 31.20684 +8 3 2 0.4238 0.8164904 0.0 31.784199 +9 3 2 0.4238 -0.8164904 0.0 31.784199 +10 4 1 -0.8476 0.0 0.0 34.31026 +11 4 2 0.4238 0.8164904 0.0 34.887619 +12 4 2 0.4238 -0.8164904 0.0 34.887619 +13 5 1 -0.8476 0.0 0.0 37.41368 +14 5 2 0.4238 0.8164904 0.0 37.991039 +15 5 2 0.4238 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1 3035 3034 3036 +1013 1 3038 3037 3039 +1014 1 3041 3040 3042 +1015 1 3044 3043 3045 +1016 1 3047 3046 3048 +1017 1 3050 3049 3051 +1018 1 3053 3052 3054 +1019 1 3056 3055 3057 +1020 1 3059 3058 3060 +1021 1 3062 3061 3063 +1022 1 3065 3064 3066 +1023 1 3068 3067 3069 +1024 1 3071 3070 3072 + diff --git a/examples/PACKAGES/fep/ta/in.spce.lmp b/examples/PACKAGES/fep/ta/in.spce.lmp new file mode 100644 index 0000000000..a9464cc7be --- /dev/null +++ b/examples/PACKAGES/fep/ta/in.spce.lmp @@ -0,0 +1,49 @@ + +units real +boundary p p p + +atom_style full +bond_style harmonic +angle_style harmonic + +special_bonds lj/coul 0.0 0.0 0.5 + +pair_style lj/cut/coul/long 12.0 12.0 +pair_modify tail no +kspace_style pppm 1.0e-5 + +read_data data.spce # 8x8x16 SPCE molecules in a 30x30x100 box + +bond_coeff 1 517.630258 1.0 +angle_coeff 1 37.950526 109.47 +pair_coeff 1 1 0.1553 3.166 # O O +pair_coeff 1 2 0.0 1.0 # O H +pair_coeff 2 2 0.0 1.0 # H H + +# don't use fix shake with compute fep/ta +# fix SHAKE all shake 0.0001 20 0 b 1 + +neighbor 2.0 bin +# neigh_modify delay 0 every 1 check yes + +timestep 1.0 + +variable TK equal 300.0 +compute TA all fep/ta ${TK} xy 1.0005 + +velocity all create ${TK} 12345 + +thermo_style custom step temp press etotal pe c_TA[*] +thermo 5000 + +fix NVT all nvt temp ${TK} ${TK} 100 +run 300000 + +reset_timestep 0 + +variable gamma_v equal 100*(pzz-0.5*(pxx+pyy))/2/100 # surface tension via the mechanical route + +fix FEP all ave/time 100 1000 100000 c_TA[*] v_gamma_v ave running file spce.fep.ta + +run 2000000 + diff --git a/examples/PACKAGES/fep/ta/log.spce b/examples/PACKAGES/fep/ta/log.spce new file mode 100644 index 0000000000..96bb1bd351 --- /dev/null +++ b/examples/PACKAGES/fep/ta/log.spce @@ -0,0 +1,689 @@ +LAMMPS (17 Feb 2022) +OMP_NUM_THREADS environment is not set. Defaulting to 1 thread. (src/comm.cpp:98) + using 1 OpenMP thread(s) per MPI task +package gpu 0 + +units real +boundary p p p + +atom_style full +bond_style harmonic +angle_style harmonic + +special_bonds lj/coul 0.0 0.0 0.5 + +pair_style lj/cut/coul/long 12.0 12.0 +pair_modify tail no +kspace_style pppm 1.0e-5 + +read_data data.spce # 8x8x16 SPCE molecules in a 30x30x100 box +Reading data file ... + orthogonal box = (0 0 0) to (30 30 100) + 1 by 1 by 1 MPI processor grid + reading atoms ... + 3072 atoms + scanning bonds ... + 2 = max bonds/atom + scanning angles ... + 1 = max angles/atom + reading bonds ... + 2048 bonds + reading angles ... + 1024 angles +Finding 1-2 1-3 1-4 neighbors ... + special bond factors lj: 0 0 0.5 + special bond factors coul: 0 0 0.5 + 2 = max # of 1-2 neighbors + 1 = max # of 1-3 neighbors + 1 = max # of 1-4 neighbors + 2 = max # of special neighbors + special bonds CPU = 0.001 seconds + read_data CPU = 0.006 seconds + +bond_coeff 1 517.630258 1.0 +angle_coeff 1 37.950526 109.47 +pair_coeff 1 1 0.1553 3.166 # O O +pair_coeff 1 2 0.0 1.0 # O H +pair_coeff 2 2 0.0 1.0 # H H + +# don't use fix shake with compute fep/ta +# fix SHAKE all shake 0.0001 20 0 b 1 + +neighbor 2.0 bin +# neigh_modify delay 0 every 1 check yes + +timestep 1.0 + +variable TK equal 300.0 +compute TA all fep/ta ${TK} xy 1.0005 +compute TA all fep/ta 300 xy 1.0005 + +velocity all create ${TK} 12345 +velocity all create 300 12345 + +thermo_style custom step temp press etotal pe c_TA[*] +thermo 5000 + +fix NVT all nvt temp ${TK} ${TK} 100 +fix NVT all nvt temp 300 ${TK} 100 +fix NVT all nvt temp 300 300 100 +run 300000 + +CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE + +Your simulation uses code contributions which should be cited: + +- GPU package (short-range, long-range and three-body potentials): + +@Article{Brown11, + author = {W. M. Brown, P. Wang, S. J. Plimpton, A. N. Tharrington}, + title = {Implementing Molecular Dynamics on Hybrid High Performance Computers - Short Range Forces}, + journal = {Comp.~Phys.~Comm.}, + year = 2011, + volume = 182, + pages = {898--911} +} + +@Article{Brown12, + author = {W. M. Brown, A. Kohlmeyer, S. J. Plimpton, A. N. Tharrington}, + title = {Implementing Molecular Dynamics on Hybrid High Performance Computers - Particle-Particle Particle-Mesh}, + journal = {Comp.~Phys.~Comm.}, + year = 2012, + volume = 183, + pages = {449--459} +} + +@Article{Brown13, + author = {W. M. Brown, Y. Masako}, + title = {Implementing Molecular Dynamics on Hybrid High Performance Computers – Three-Body Potentials}, + journal = {Comp.~Phys.~Comm.}, + year = 2013, + volume = 184, + pages = {2785--2793} +} + +@Article{Trung15, + author = {T. D. Nguyen, S. J. Plimpton}, + title = {Accelerating dissipative particle dynamics simulations for soft matter systems}, + journal = {Comput.~Mater.~Sci.}, + year = 2015, + volume = 100, + pages = {173--180} +} + +@Article{Trung17, + author = {T. D. Nguyen}, + title = {GPU-accelerated Tersoff potentials for massively parallel Molecular Dynamics simulations}, + journal = {Comp.~Phys.~Comm.}, + year = 2017, + volume = 212, + pages = {113--122} +} + +@Article{Nikolskiy19, + author = {V. Nikolskiy, V. Stegailov}, + title = {GPU acceleration of four-site water models in LAMMPS}, + journal = {Proceeding of the International Conference on Parallel Computing (ParCo 2019), Prague, Czech Republic}, + year = 2019 +} + +CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE + +PPPM initialization ... + using 12-bit tables for long-range coulomb (src/kspace.cpp:340) + G vector (1/distance) = 0.24270009 + grid = 20 20 50 + stencil order = 5 + estimated absolute RMS force accuracy = 0.0037271514 + estimated relative force accuracy = 1.1224206e-05 + using double precision FFTW3 + 3d grid and FFT values/proc = 40824 20000 + generated 0 of 1 mixed pair_coeff terms from geometric mixing rule +FEP/TA settings ... + temperature = 300.000000 + scale factor = 1.000500 + tail no +Per MPI rank memory allocation (min/avg/max) = 10.59 | 10.59 | 10.59 Mbytes + Step Temp Press TotEng PotEng c_TA[1] c_TA[2] c_TA[3] + 0 300 5742.8831 8061.6965 5315.4762 -10.940045 93249708 0.45 + 5000 301.43029 -118.64017 -7888.4723 -10647.786 -0.13617205 1.2566061 0.45 + 10000 294.49018 -301.44062 -8063.3808 -10759.164 -0.14897537 1.2838851 0.45 + 15000 294.36123 -407.07728 -8189.2912 -10883.894 0.34568257 0.55998421 0.45 + 20000 300.95171 111.50248 -8104.1193 -10859.052 0.11293291 0.82742794 0.45 + 25000 300.28473 388.00598 -8147.8655 -10896.692 0.11270184 0.82774872 0.45 + 30000 306.62229 -113.93849 -8191.7529 -10998.594 0.26068823 0.6457922 0.45 + 35000 303.66349 -426.81556 -8269.8364 -11049.593 0.78191631 0.26939311 0.45 + 40000 291.70214 -50.50854 -8368.0775 -11038.339 0.20120788 0.71354814 0.45 + 45000 299.74326 -289.18081 -8346.2716 -11090.142 0.4163404 0.49739645 0.45 + 50000 300.53193 36.834691 -8367.5726 -11118.662 0.20517137 0.70881996 0.45 + 55000 298.20207 -107.76906 -8274.386 -11004.148 0.7409946 0.2885342 0.45 + 60000 298.32558 -65.20542 -8433.4884 -11164.381 0.16210976 0.76191344 0.45 + 65000 297.3149 -102.87381 -8379.2515 -11100.892 0.21193701 0.70082127 0.45 + 70000 300.78423 -463.75811 -8381.3317 -11134.731 0.32109349 0.58356406 0.45 + 75000 299.53099 -53.264996 -8495.159 -11237.086 0.44828935 0.47144212 0.45 + 80000 295.55879 -590.1244 -8432.3435 -11137.909 0.28788374 0.61699451 0.45 + 85000 298.73289 -234.73297 -8473.8721 -11208.493 -0.11723275 1.2173128 0.45 + 90000 307.02709 -264.9035 -8303.7625 -11114.309 -0.098959935 1.1805672 0.45 + 95000 304.79112 199.8891 -8364.2553 -11154.334 0.036986735 0.93984396 0.45 + 100000 295.49748 -743.18974 -8453.8066 -11158.811 0.249981 0.65749559 0.45 + 105000 303.11352 -163.70166 -8324.4846 -11099.206 -0.012286442 1.0208231 0.45 + 110000 294.30278 -33.731015 -8512.8168 -11206.884 -0.0129379 1.0219392 0.45 + 115000 293.65421 393.24871 -8481.1933 -11169.324 0.75255277 0.28299408 0.45 + 120000 300.56448 16.832298 -8507.3819 -11258.769 0.13389897 0.79883437 0.45 + 125000 297.92506 -398.77893 -8576.4403 -11303.666 0.07292658 0.88485917 0.45 + 130000 303.007 -589.11865 -8560.7259 -11334.472 0.42876446 0.48713794 0.45 + 135000 310.82674 -203.4991 -8565.3181 -11410.647 0.075268046 0.88139064 0.45 + 140000 303.68345 -710.20709 -8570.895 -11350.834 -0.1023741 1.1873476 0.45 + 145000 293.86825 129.05781 -8457.0747 -11147.165 0.39475138 0.51573896 0.45 + 150000 296.93136 -734.03863 -8577.2763 -11295.406 0.73600373 0.29095985 0.45 + 155000 296.67522 -290.20206 -8631.0579 -11346.843 -0.30049664 1.6554154 0.45 + 160000 301.5685 -656.03394 -8646.3196 -11406.898 0.08494101 0.86720512 0.45 + 165000 295.8808 342.45206 -8602.0309 -11310.544 -0.30873864 1.6784606 0.45 + 170000 303.33048 -64.144957 -8580.8446 -11357.552 0.13622456 0.79572423 0.45 + 175000 300.75245 -908.44969 -8566.8005 -11319.909 0.15795135 0.76724659 0.45 + 180000 301.34603 -350.00512 -8489.0111 -11247.553 0.21089487 0.70204744 0.45 + 185000 305.96254 62.840515 -8458.0542 -11258.856 -0.050029338 1.0875408 0.45 + 190000 300.14392 256.935 -8684.6591 -11432.197 0.40144188 0.50998337 0.45 + 195000 299.32366 -218.70113 -8505.3328 -11245.362 -0.19428451 1.3852659 0.45 + 200000 307.89424 -569.89954 -8615.1541 -11433.639 0.55121888 0.39668508 0.45 + 205000 299.34873 334.69765 -8657.6353 -11397.894 0.17751997 0.74247109 0.45 + 210000 298.54619 -261.12193 -8601.2439 -11334.156 0.74219016 0.28795615 0.45 + 215000 304.02395 -306.81112 -8531.9913 -11315.047 0.86987192 0.23244073 0.45 + 220000 299.95916 278.60921 -8682.394 -11428.24 -0.26474202 1.559051 0.45 + 225000 302.839 -226.36906 -8515.0815 -11287.29 0.060381353 0.90367684 0.45 + 230000 299.54085 240.08589 -8636.8991 -11378.916 -0.46699438 2.1887589 0.45 + 235000 297.62792 -138.20813 -8627.0888 -11351.595 -0.035013312 1.0604901 0.45 + 240000 299.15558 442.88999 -8749.2731 -11487.763 0.14696819 0.78151268 0.45 + 245000 291.76323 174.70322 -8597.8808 -11268.701 -0.3979188 1.9492946 0.45 + 250000 308.21961 37.282506 -8603.7127 -11425.176 0.021882894 0.96395922 0.45 + 255000 307.18484 -493.77408 -8459.5942 -11271.585 0.16914044 0.75298079 0.45 + 260000 294.17364 -238.05366 -8677.8379 -11370.723 -0.35710078 1.8202968 0.45 + 265000 289.14461 -304.12454 -8727.2613 -11374.111 0.18045129 0.73882932 0.45 + 270000 301.51228 -255.75558 -8640.9577 -11401.022 0.49252861 0.43772444 0.45 + 275000 294.98349 -351.00974 -8678.3965 -11378.695 -0.31576914 1.6983718 0.45 + 280000 294.37376 279.87325 -8668.9575 -11363.675 0.26328091 0.64298978 0.45 + 285000 295.68351 249.3086 -8748.533 -11455.24 0.6820904 0.31849899 0.45 + 290000 298.74266 -749.43024 -8583.8679 -11318.578 0.030414997 0.95026156 0.45 + 295000 292.67215 -573.39647 -8713.3223 -11392.463 0.25656615 0.65027291 0.45 + 300000 302.48853 186.71329 -8655.8918 -11424.892 0.20319721 0.71117107 0.45 +Loop time of 706.805 on 1 procs for 300000 steps with 3072 atoms + +Performance: 36.672 ns/day, 0.654 hours/ns, 424.445 timesteps/s +95.4% CPU use with 1 MPI tasks x 1 OpenMP threads + +MPI task timing breakdown: +Section | min time | avg time | max time |%varavg| %total +--------------------------------------------------------------- +Pair | 149.88 | 149.88 | 149.88 | 0.0 | 21.21 +Bond | 17.824 | 17.824 | 17.824 | 0.0 | 2.52 +Kspace | 517.46 | 517.46 | 517.46 | 0.0 | 73.21 +Neigh | 1.3789 | 1.3789 | 1.3789 | 0.0 | 0.20 +Comm | 9.412 | 9.412 | 9.412 | 0.0 | 1.33 +Output | 0.092 | 0.092 | 0.092 | 0.0 | 0.01 +Modify | 8.3026 | 8.3026 | 8.3026 | 0.0 | 1.17 +Other | | 2.458 | | | 0.35 + +Nlocal: 3072 ave 3072 max 3072 min +Histogram: 1 0 0 0 0 0 0 0 0 0 +Nghost: 8370 ave 8370 max 8370 min +Histogram: 1 0 0 0 0 0 0 0 0 0 +Neighs: 0 ave 0 max 0 min +Histogram: 1 0 0 0 0 0 0 0 0 0 + +Total # of neighbors = -1 +Ave neighs/atom = -0.00032552083 +Ave special neighs/atom = 2 +Neighbor list builds = 14698 +Dangerous builds = 21 + +reset_timestep 0 + +variable gamma_v equal 100*(pzz-0.5*(pxx+pyy))/2/100 # surface tension via the mechanical route + +fix FEP all ave/time 100 1000 100000 c_TA[*] v_gamma_v ave running file spce.fep.ta + +run 2000000 +PPPM 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299.49141 1.3922328 -8592.8243 -11334.389 0.024359522 0.95996296 0.45 + 1870000 295.36403 -1.848842 -8534.7607 -11238.543 0.53331666 0.40877784 0.45 + 1875000 299.5254 -303.35635 -8642.4199 -11384.296 0.12049946 0.8169925 0.45 + 1880000 302.15027 -233.4192 -8607.1984 -11373.102 0.42967343 0.48639576 0.45 + 1885000 293.78387 -312.31798 -8576.6303 -11265.948 0.62050206 0.35316217 0.45 + 1890000 296.33987 227.42925 -8675.0988 -11387.814 -0.2387251 1.4924762 0.45 + 1895000 296.4116 -297.41585 -8695.6693 -11409.041 0.1899345 0.72716967 0.45 + 1900000 305.04631 -744.8928 -8495.6073 -11288.022 -0.092917858 1.1686627 0.45 + 1905000 299.13767 -233.05542 -8771.8955 -11510.222 -0.053515786 1.0939196 0.45 + 1910000 301.18529 391.32364 -8594.238 -11351.309 0.17761387 0.74235415 0.45 + 1915000 304.53139 -205.26743 -8615.1863 -11402.887 -0.65441918 2.9973254 0.45 + 1920000 304.46794 75.506851 -8696.0461 -11483.166 0.28757039 0.6173189 0.45 + 1925000 295.83229 -40.226799 -8677.0683 -11385.137 0.34338584 0.56214572 0.45 + 1930000 298.91694 72.305481 -8662.7622 -11399.068 -0.45255095 2.1363683 0.45 + 1935000 297.28693 -277.78411 -8678.223 -11399.608 0.32165864 0.58301111 0.45 + 1940000 295.22194 -153.48885 -8737.0529 -11439.534 0.47753767 0.4488709 0.45 + 1945000 298.41366 0.98105216 -8615.733 -11347.432 0.061208942 0.90242323 0.45 + 1950000 298.47932 -461.39566 -8587.8993 -11320.199 0.41883297 0.49532116 0.45 + 1955000 293.30456 -530.72887 -8712.242 -11397.172 -0.052983042 1.0929425 0.45 + 1960000 307.27812 -609.68084 -8563.1295 -11375.974 0.10863685 0.83341209 0.45 + 1965000 309.21876 -661.65884 -8619.5376 -11450.147 -0.00074060514 1.0012431 0.45 + 1970000 294.16474 130.9219 -8662.5966 -11355.4 -0.048761848 1.0852311 0.45 + 1975000 293.87023 -652.42226 -8587.2681 -11277.376 -0.42701916 2.0468057 0.45 + 1980000 302.66906 -396.94893 -8576.3291 -11346.982 0.55938449 0.39128874 0.45 + 1985000 304.00863 167.22102 -8525.9503 -11308.866 -0.12417188 1.2315647 0.45 + 1990000 299.53376 -234.11494 -8528.8821 -11270.834 0.58392743 0.37550715 0.45 + 1995000 296.20959 -99.022727 -8599.3854 -11310.908 0.10920765 0.83261451 0.45 + 2000000 307.40367 -179.44965 -8545.6064 -11359.6 0.485016 0.44327537 0.45 +Loop time of 4787.7 on 1 procs for 2000000 steps with 3072 atoms + +Performance: 36.092 ns/day, 0.665 hours/ns, 417.737 timesteps/s +95.4% CPU use with 1 MPI tasks x 1 OpenMP threads + +MPI task timing breakdown: +Section | min time | avg time | max time |%varavg| %total +--------------------------------------------------------------- +Pair | 1015.1 | 1015.1 | 1015.1 | 0.0 | 21.20 +Bond | 121.19 | 121.19 | 121.19 | 0.0 | 2.53 +Kspace | 3455.1 | 3455.1 | 3455.1 | 0.0 | 72.17 +Neigh | 8.7475 | 8.7475 | 8.7475 | 0.0 | 0.18 +Comm | 58.679 | 58.679 | 58.679 | 0.0 | 1.23 +Output | 0.60209 | 0.60209 | 0.60209 | 0.0 | 0.01 +Modify | 81.328 | 81.328 | 81.328 | 0.0 | 1.70 +Other | | 46.88 | | | 0.98 + +Nlocal: 3072 ave 3072 max 3072 min +Histogram: 1 0 0 0 0 0 0 0 0 0 +Nghost: 8395 ave 8395 max 8395 min +Histogram: 1 0 0 0 0 0 0 0 0 0 +Neighs: 0 ave 0 max 0 min +Histogram: 1 0 0 0 0 0 0 0 0 0 + +Total # of neighbors = -1 +Ave neighs/atom = -0.00032552083 +Ave special neighs/atom = 2 +Neighbor list builds = 93794 +Dangerous builds = 0 + +Total wall time: 1:31:34 diff --git a/examples/PACKAGES/fep/ta/spce.fep.ta b/examples/PACKAGES/fep/ta/spce.fep.ta new file mode 100644 index 0000000000..7ed4013d65 --- /dev/null +++ b/examples/PACKAGES/fep/ta/spce.fep.ta @@ -0,0 +1,22 @@ +# Time-averaged data for fix FEP +# TimeStep c_TA[1] c_TA[2] c_TA[3] v_gamma_v +100000 0.168677 0.863546 0.45 65.7437 +200000 0.169722 0.861354 0.45 66.6859 +300000 0.165507 0.868407 0.45 63.1899 +400000 0.162311 0.875704 0.45 60.7859 +500000 0.165468 0.872729 0.45 63.2053 +600000 0.165267 0.873825 0.45 63.1828 +700000 0.167824 0.869356 0.45 65.1722 +800000 0.170332 0.866538 0.45 67.0749 +900000 0.164396 0.875043 0.45 62.4639 +1000000 0.164738 0.87663 0.45 62.5659 +1100000 0.168395 0.870496 0.45 65.415 +1200000 0.170147 0.867104 0.45 66.7132 +1300000 0.170509 0.866709 0.45 66.9833 +1400000 0.171152 0.865294 0.45 67.5598 +1500000 0.172363 0.863433 0.45 68.547 +1600000 0.171538 0.864062 0.45 67.8359 +1700000 0.171662 0.864029 0.45 67.9145 +1800000 0.170202 0.866069 0.45 66.7697 +1900000 0.171403 0.864162 0.45 67.6313 +2000000 0.170962 0.864753 0.45 67.2314