diff options
| -rw-r--r-- | \ | 37 | ||||
| -rw-r--r-- | data/correlation-times/heisenberg-pert.dat | 105 | ||||
| -rw-r--r-- | data/correlation-times/heisenberg.dat | 93 | ||||
| -rw-r--r-- | data/correlation-times/ising-2d.dat | 137 | ||||
| -rw-r--r-- | data/correlation-times/ising-3d.dat | 111 | ||||
| -rw-r--r-- | data/correlation-times/planar-pert.dat | 115 | ||||
| -rw-r--r-- | data/correlation-times/planar-uni.dat | 46 | ||||
| -rw-r--r-- | data/correlation-times/planar.dat | 107 | ||||
| -rw-r--r-- | data/correlation-times/potts-3.dat | 120 | ||||
| -rw-r--r-- | data/correlation-times/potts-4.dat | 120 | ||||
| -rw-r--r-- | data/harmonic-susceptibilities/order-4.dat | 232 | ||||
| -rw-r--r-- | data/harmonic-susceptibilities/order-6.dat | 233 | ||||
| -rw-r--r-- | fig_clusters_ising2d.eps | 43 | ||||
| -rw-r--r-- | fig_correlation-temp.tex | 16 | ||||
| -rw-r--r-- | fig_correlation.tex | 12 | ||||
| -rw-r--r-- | fig_correlation_collapse-hL.tex | 16 | ||||
| -rw-r--r-- | fig_metastable.tex | 16 | ||||
| -rw-r--r-- | figs/fig_correlation-times.gplot | 133 | ||||
| -rw-r--r-- | figs/fig_generator-times.gplot | 21 | ||||
| -rw-r--r-- | figs/fig_harmonic-susceptibilities.gplot | 37 | ||||
| -rw-r--r-- | makefile | 2 | ||||
| -rw-r--r-- | monte-carlo.tex | 12 | ||||
| -rw-r--r-- | test.png | bin | 0 -> 4280 bytes |
23 files changed, 1696 insertions, 68 deletions
@@ -0,0 +1,37 @@ + +set term pdf size 3.417, 5.3 +set output "test.pdf" + +data4 = "data/harmonic-susceptibilities/order-4.dat" +data6 = "data/harmonic-susceptibilities/order-6.dat" + +set palette defined (0 'blue', 0.33 'green', 0.66 'yellow', 1 'red') +stats data6 using "H" +set cbrange[STATS_min:STATS_max] +set logscale xycb +set nokey + +set xrange [1:5000] +set yrange [0.01:10000] + +unset colorbox + +set multiplot layout 2,1 margins 0.15, 0.99, 0.225, 0.99 spacing 0,0.015 +set size ratio 1 / 1.61803398875 + +unset xlabel +set ylabel '$\chi$' offset 3 +set format x '' + +plot data4 using "L":"X":"dX":"H" with yerrorbars pt 0 lw 2 palette,\ + data4 using "L":"X":"H" with lines palette + +set xlabel '$L$' +set colorbox horizontal user origin 0.15, 0.1 size 0.84, 0.03 +set cblabel '(Top) $h_4$ or (bottom) $h_6$' +set cbtics format '$10^{%T}$' +set format x + +plot data6 using "L":"X":"dX":"H" with yerrorbars pt 0 lw 2 palette,\ + data6 using "L":"X":"H" with lines palette + diff --git a/data/correlation-times/heisenberg-pert.dat b/data/correlation-times/heisenberg-pert.dat new file mode 100644 index 0000000..c708670 --- /dev/null +++ b/data/correlation-times/heisenberg-pert.dat @@ -0,0 +1,105 @@ +L T H S dS t dt + +4 1.44325 0.000000316228 9.56983472472473 0.00219465797457129 18.21184038321221 0.04410825728820503 +4 1.44325 0.000001 9.56793718718719 0.00219482540003218 18.16277042570554 0.0439894120608539 +4 1.44325 0.00000316228 9.57084031031031 0.002194285199316918 18.20319824817915 0.04408732642632965 +4 1.44325 0.00001 9.57084600600601 0.002195643760292323 18.21156821151843 0.04410759810061919 +4 1.44325 0.0000316228 9.56999528528529 0.002194506950347857 18.2286570104649 0.04414898640212068 +4 1.44325 0.0001 9.56822760760761 0.00219469194528754 18.20320868982839 0.04408735171553389 +4 1.44325 0.000316228 9.56741062062062 0.002194248359709122 18.17615810237291 0.04402183641086522 +4 1.44325 0.001 9.56946983983984 0.002194776361270314 18.19540644780638 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37.03346392392393 0.01163992559457975 40.86211019430362 0.1479700070008558 +8 1.44325 0.01 38.15358537537538 0.0118757685056973 40.14575363505395 0.1442619260368273 +8 1.44325 0.0316228 44.17580994994995 0.01301492860963088 34.77523239750772 0.1163344118848335 +8 1.44325 0.1 58.50208345345346 0.01555780994397245 25.47371999875904 0.07289307620799113 +8 1.44325 0.316228 83.2215877077077 0.01948992669818281 18.18671452012589 0.04404740357928382 +8 1.44325 1. 117.5637576076076 0.02393501392634059 13.76885640365944 0.02909260134771836 +8 1.44325 3.16228 153.5289199199199 0.02740176351623878 11.67275111299247 0.02270577768859329 +8 1.44325 10. 180.0870904304304 0.02927661251813413 11.32271256025784 0.02167246353922845 +8 1.44325 31.6228 193.6467615115115 0.03010045669882096 11.75417990655686 0.02298482867681409 +8 1.44325 100.00000000000000 198.7239984984985 0.03039111830415791 12.13912825977741 0.02410753838411978 +8 1.44325 316.22800000000001 200.4445762962963 0.03050182978812582 12.27684198395237 0.0245044781389571 +8 1.44325 1000.00000000000000 200.9464895495495 0.03052209840741303 12.36663584470388 0.02468370596486495 + +16 1.44325 0.000000316228 143.2486941341341 0.05672955976144701 93.1873676349319 0.5094706871005545 +16 1.44325 0.000001 143.1878155755756 0.05670786981678882 93.2763255763308 0.5102984858335283 +16 1.44325 0.00000316228 143.211802062062 0.0567212083122588 93.7139123202725 0.5137202305668844 +16 1.44325 0.00001 143.3341562062062 0.0567463299057307 93.0172789003344 0.5082000530925958 +16 1.44325 0.0000316228 143.290005985986 0.05675459138416588 93.6716507987052 0.5134885616709206 +16 1.44325 0.0001 143.216737947948 0.05671424975078764 93.3951351722832 0.5112901297069758 +16 1.44325 0.000316228 143.4568063863864 0.05681245372970409 93.5075840850211 0.5122475696863187 +16 1.44325 0.001 145.0182151351351 0.0572016240479077 92.9740253042097 0.5076229360651222 +16 1.44325 0.00316228 156.9158591591592 0.060315107773364 86.2338452865457 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0.852121129146308 216.0022263624586 5.709931642532518 +32 1.44325 0.0001 559.2504623232323 0.857883441233478 205.1590502830043 5.285131134221373 +32 1.44325 0.000316228 573.6858647474747 0.873349621560515 210.0756419095946 5.47566075370233 +32 1.44325 0.001 671.1989960606061 0.97287376099805 174.8298305092765 4.157328918858103 +32 1.44325 0.00316228 914.635209090909 1.206323677290666 121.598724036536 2.41162287205318 +32 1.44325 0.01 1366.951955555556 1.600089600173349 76.26581856729331 1.198782970810179 +32 1.44325 0.0316228 2135.831721414141 2.184632546522753 46.44006777166036 0.5697290728631281 +32 1.44325 0.1 3348.075171919192 2.966110097018555 28.60424491169469 0.2754445800565095 +32 1.44325 0.316228 5120.398953838384 3.904411817074705 19.22959955080432 0.1519311693938515 +32 1.44325 1. 7417.809501212121 4.86253776795868 14.11248495080333 0.0955682912498602 +32 1.44325 3.16228 9767.47636484849 5.576399633730978 11.77363730584217 0.07313491098436174 +32 1.44325 10. 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1.610134502758547 + +128 1.44325 0.000000316228 7708.404962222223 41.29907392985242 1233.696630453302 182.7139464647608 +128 1.44325 0.000001 7891.242164444444 42.068712015642 1203.053268084542 175.9503963550747 +128 1.44325 0.00000316228 7737.73590611111 41.35611987187082 1042.925033623272 142.0191780135383 +128 1.44325 0.00001 8012.16386166667 42.22659334058717 1290.777247985206 195.54316785528 +128 1.44325 0.0000316228 9542.17178944444 48.04088356236685 837.317519821238 102.1657005281426 +128 1.44325 0.0001 13306.860535 61.36202284687725 654.7751569601544 70.65304093619458 +128 1.44325 0.000316228 20624.60696444444 84.4581367454665 419.8658165227717 36.27785358710736 +128 1.44325 0.001 32784.65894444444 118.3429939213162 224.3199361827567 14.16949331269308 +128 1.44325 0.00316228 53086.16601500001 167.6507591651153 135.645251426996 6.665200271392014 +128 1.44325 0.01 84764.0741892723 297.6658723813368 76.5919150346261 3.586001659713751 +128 1.44325 0.0316228 135164.8069062533 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\ No newline at end of file diff --git a/data/correlation-times/heisenberg.dat b/data/correlation-times/heisenberg.dat new file mode 100644 index 0000000..17b2099 --- /dev/null +++ b/data/correlation-times/heisenberg.dat @@ -0,0 +1,93 @@ +L T H S dS t dt + +4 1.44325 0.000000316228 9.56983472472473 0.00219465797457129 18.21184038321221 0.04410825728820503 +4 1.44325 0.000001 9.56793718718719 0.00219482540003218 18.16277042570554 0.0439894120608539 +4 1.44325 0.00000316228 9.57084031031031 0.002194285199316918 18.20319824817915 0.04408732642632965 +4 1.44325 0.00001 9.57084600600601 0.002195643760292323 18.21156821151843 0.04410759810061919 +4 1.44325 0.0000316228 9.56999528528529 0.002194506950347857 18.2286570104649 0.04414898640212068 +4 1.44325 0.0001 9.56822760760761 0.00219469194528754 18.20320868982839 0.04408735171553389 +4 1.44325 0.000316228 9.56741062062062 0.002194248359709122 18.17615810237291 0.04402183641086522 +4 1.44325 0.001 9.56946983983984 0.002194776361270314 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76.64680567904725 11.7523211764004 +31.6228 0.7 1024 413.4182788873192 73.82007047128336 + +100.00000000000000 0.7 4 0.07373838160590498 0.0019164165627189 +100.00000000000000 0.7 8 0.1966529487954054 0.006530326602493277 +100.00000000000000 0.7 16 0.5379497336848464 0.02762401592276385 +100.00000000000000 0.7 32 1.558730429006476 0.1225285164875668 +100.00000000000000 0.7 64 4.457352450108374 0.533835427534645 +100.00000000000000 0.7 128 16.01089387955394 1.056915824594493 +100.00000000000000 0.7 256 69.11791863303473 5.718552585759426 +100.00000000000000 0.7 512 96.7962985449412 12.8878065341068 + +316.22800000000001 0.7 4 0.07255102762440758 0.002494777025094161 +316.22800000000001 0.7 8 0.1943721183201827 0.00809908414295951 +316.22800000000001 0.7 16 0.5154011732774069 0.03701455971314472 +316.22800000000001 0.7 32 1.557653168413416 0.1731812233148764 +316.22800000000001 0.7 64 4.66939034645033 0.4614023867054954 +316.22800000000001 0.7 128 16.90727812528816 1.117891907701382 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\ No newline at end of file diff --git a/fig_clusters_ising2d.eps b/fig_clusters_ising2d.eps index 6015a4c..cfab34e 100644 --- a/fig_clusters_ising2d.eps +++ b/fig_clusters_ising2d.eps @@ -1,7 +1,12 @@ %!PS-Adobe-2.0 EPSF-2.0 %%Title: fig_clusters_ising2d.tex +<<<<<<< HEAD +%%Creator: gnuplot 5.2 patchlevel 3 +%%CreationDate: Mon May 28 09:40:51 2018 +======= %%Creator: gnuplot 5.2 patchlevel 2 %%CreationDate: Tue May 15 20:44:22 2018 +>>>>>>> 1d0c65c2763b959530bb5033d524bbc46eb1dbf9 %%DocumentFonts: %%BoundingBox: 50 50 542 252 %%EndComments @@ -48,7 +53,7 @@ gnudict begin } if } def % -% Gnuplot Prolog Version 5.1 (Oct 2015) +% Gnuplot Prolog Version 5.2 (Dec 2017) % %/SuppressPDFMark true def % @@ -305,7 +310,7 @@ gnudict begin ColR ColG ColB setrgbcolor} def /BoxColFill {gsave Rec PolyFill} def /PolyFill {gsave Density fill grestore grestore} def -/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +/h {rlineto rlineto rlineto closepath gsave fill grestore stroke} bind def % % PostScript Level 1 Pattern Fill routine for rectangles % Usage: x y w h s a XX PatternFill @@ -438,10 +443,14 @@ systemdict /pdfmark known not { SDict begin [ /Title (fig_clusters_ising2d.tex) /Subject (gnuplot plot) - /Creator (gnuplot 5.2 patchlevel 2) + /Creator (gnuplot 5.2 patchlevel 3) % /Producer (gnuplot) % /Keywords () +<<<<<<< HEAD + /CreationDate (Mon May 28 09:40:51 2018) +======= /CreationDate (Tue May 15 20:44:22 2018) +>>>>>>> 1d0c65c2763b959530bb5033d524bbc46eb1dbf9 /DOCINFO pdfmark end } ifelse @@ -495,10 +504,6 @@ gsave % colour palette begin } ifelse} def /Constrain { dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def -/YIQ2RGB { - 3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll - 3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll - 0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def /CMY2RGB { 1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def /XYZ2RGB { 3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch @@ -583,10 +588,6 @@ LTb 31 0 V 2629 0 R -31 0 V -682 3833 M -31 0 V -2629 0 R --31 0 V 764 2467 M 0 31 V 0 1335 R @@ -2690,10 +2691,6 @@ gsave % colour palette begin } ifelse} def /Constrain { dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def -/YIQ2RGB { - 3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll - 3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll - 0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def /CMY2RGB { 1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def /XYZ2RGB { 3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch @@ -4909,10 +4906,6 @@ gsave % colour palette begin } ifelse} def /Constrain { dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def -/YIQ2RGB { - 3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll - 3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll - 0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def /CMY2RGB { 1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def /XYZ2RGB { 3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch @@ -6587,10 +6580,6 @@ gsave % colour palette begin } ifelse} def /Constrain { dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def -/YIQ2RGB { - 3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll - 3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll - 0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def /CMY2RGB { 1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def /XYZ2RGB { 3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch @@ -8367,10 +8356,6 @@ gsave % colour palette begin } ifelse} def /Constrain { dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def -/YIQ2RGB { - 3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll - 3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll - 0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def /CMY2RGB { 1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def /XYZ2RGB { 3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch @@ -10503,10 +10488,6 @@ gsave % colour palette begin } ifelse} def /Constrain { dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def -/YIQ2RGB { - 3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll - 3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll - 0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def /CMY2RGB { 1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def /XYZ2RGB { 3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch diff --git a/fig_correlation-temp.tex b/fig_correlation-temp.tex index db7ab02..11ce951 100644 --- a/fig_correlation-temp.tex +++ b/fig_correlation-temp.tex @@ -7,8 +7,8 @@ \begin{picture}(4920,3038)(0,0)% {\GNUPLOTspecial{" %!PS-Adobe-2.0 EPSF-2.0 -%%Creator: gnuplot 5.2 patchlevel 2 -%%CreationDate: Thu May 10 20:47:25 2018 +%%Creator: gnuplot 5.2 patchlevel 3 +%%CreationDate: Mon May 28 09:40:51 2018 %%DocumentFonts: %%BoundingBox: 0 0 246 151 %%EndComments @@ -55,7 +55,7 @@ gnudict begin } if } def % -% Gnuplot Prolog Version 5.1 (Oct 2015) +% Gnuplot Prolog Version 5.2 (Dec 2017) % %/SuppressPDFMark true def % @@ -312,7 +312,7 @@ gnudict begin ColR ColG ColB setrgbcolor} def /BoxColFill {gsave Rec PolyFill} def /PolyFill {gsave Density fill grestore grestore} def -/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +/h {rlineto rlineto rlineto closepath gsave fill grestore stroke} bind def % % PostScript Level 1 Pattern Fill routine for rectangles % Usage: x y w h s a XX PatternFill @@ -445,10 +445,10 @@ systemdict /pdfmark known not { SDict begin [ /Title () /Subject (gnuplot plot) - /Creator (gnuplot 5.2 patchlevel 2) + /Creator (gnuplot 5.2 patchlevel 3) % /Producer (gnuplot) % /Keywords () - /CreationDate (Thu May 10 20:47:25 2018) + /CreationDate (Mon May 28 09:40:51 2018) /DOCINFO pdfmark end } ifelse @@ -503,10 +503,6 @@ gsave % colour palette begin } ifelse} def /Constrain { dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def -/YIQ2RGB { - 3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll - 3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll - 0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def /CMY2RGB { 1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def /XYZ2RGB { 3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch diff --git a/fig_correlation.tex b/fig_correlation.tex index f5c4d93..6e73cc3 100644 --- a/fig_correlation.tex +++ b/fig_correlation.tex @@ -7,8 +7,8 @@ \begin{picture}(4920,9118)(0,0)% {\GNUPLOTspecial{" %!PS-Adobe-2.0 EPSF-2.0 -%%Creator: gnuplot 5.2 patchlevel 2 -%%CreationDate: Thu May 10 20:47:25 2018 +%%Creator: gnuplot 5.2 patchlevel 3 +%%CreationDate: Mon May 28 09:40:51 2018 %%DocumentFonts: %%BoundingBox: 0 0 246 455 %%EndComments @@ -55,7 +55,7 @@ gnudict begin } if } def % -% Gnuplot Prolog Version 5.1 (Oct 2015) +% Gnuplot Prolog Version 5.2 (Dec 2017) % %/SuppressPDFMark true def % @@ -312,7 +312,7 @@ gnudict begin ColR ColG ColB setrgbcolor} def /BoxColFill {gsave Rec PolyFill} def /PolyFill {gsave Density fill grestore grestore} def -/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +/h {rlineto rlineto rlineto closepath gsave fill grestore stroke} bind def % % PostScript Level 1 Pattern Fill routine for rectangles % Usage: x y w h s a XX PatternFill @@ -445,10 +445,10 @@ systemdict /pdfmark known not { SDict begin [ /Title () /Subject (gnuplot plot) - /Creator (gnuplot 5.2 patchlevel 2) + /Creator (gnuplot 5.2 patchlevel 3) % /Producer (gnuplot) % /Keywords () - /CreationDate (Thu May 10 20:47:25 2018) + /CreationDate (Mon May 28 09:40:51 2018) /DOCINFO pdfmark end } ifelse diff --git a/fig_correlation_collapse-hL.tex b/fig_correlation_collapse-hL.tex index dff56bf..187a83b 100644 --- a/fig_correlation_collapse-hL.tex +++ b/fig_correlation_collapse-hL.tex @@ -7,8 +7,8 @@ \begin{picture}(4920,3038)(0,0)% {\GNUPLOTspecial{" %!PS-Adobe-2.0 EPSF-2.0 -%%Creator: gnuplot 5.2 patchlevel 2 -%%CreationDate: Thu May 10 20:47:25 2018 +%%Creator: gnuplot 5.2 patchlevel 3 +%%CreationDate: Mon May 28 09:40:51 2018 %%DocumentFonts: %%BoundingBox: 0 0 246 151 %%EndComments @@ -55,7 +55,7 @@ gnudict begin } if } def % -% Gnuplot Prolog Version 5.1 (Oct 2015) +% Gnuplot Prolog Version 5.2 (Dec 2017) % %/SuppressPDFMark true def % @@ -312,7 +312,7 @@ gnudict begin ColR ColG ColB setrgbcolor} def /BoxColFill {gsave Rec PolyFill} def /PolyFill {gsave Density fill grestore grestore} def -/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +/h {rlineto rlineto rlineto closepath gsave fill grestore stroke} bind def % % PostScript Level 1 Pattern Fill routine for rectangles % Usage: x y w h s a XX PatternFill @@ -445,10 +445,10 @@ systemdict /pdfmark known not { SDict begin [ /Title () /Subject (gnuplot plot) - /Creator (gnuplot 5.2 patchlevel 2) + /Creator (gnuplot 5.2 patchlevel 3) % /Producer (gnuplot) % /Keywords () - /CreationDate (Thu May 10 20:47:25 2018) + /CreationDate (Mon May 28 09:40:51 2018) /DOCINFO pdfmark end } ifelse @@ -503,10 +503,6 @@ gsave % colour palette begin } ifelse} def /Constrain { dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def -/YIQ2RGB { - 3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll - 3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll - 0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def /CMY2RGB { 1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def /XYZ2RGB { 3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch diff --git a/fig_metastable.tex b/fig_metastable.tex index 03d36a7..8e82eaa 100644 --- a/fig_metastable.tex +++ b/fig_metastable.tex @@ -7,8 +7,8 @@ \begin{picture}(4920,3038)(0,0)% {\GNUPLOTspecial{" %!PS-Adobe-2.0 EPSF-2.0 -%%Creator: gnuplot 5.2 patchlevel 2 -%%CreationDate: Thu May 10 20:47:25 2018 +%%Creator: gnuplot 5.2 patchlevel 3 +%%CreationDate: Mon May 28 09:40:51 2018 %%DocumentFonts: %%BoundingBox: 0 0 246 151 %%EndComments @@ -55,7 +55,7 @@ gnudict begin } if } def % -% Gnuplot Prolog Version 5.1 (Oct 2015) +% Gnuplot Prolog Version 5.2 (Dec 2017) % %/SuppressPDFMark true def % @@ -312,7 +312,7 @@ gnudict begin ColR ColG ColB setrgbcolor} def /BoxColFill {gsave Rec PolyFill} def /PolyFill {gsave Density fill grestore grestore} def -/h {rlineto rlineto rlineto gsave closepath fill grestore} bind def +/h {rlineto rlineto rlineto closepath gsave fill grestore stroke} bind def % % PostScript Level 1 Pattern Fill routine for rectangles % Usage: x y w h s a XX PatternFill @@ -445,10 +445,10 @@ systemdict /pdfmark known not { SDict begin [ /Title () /Subject (gnuplot plot) - /Creator (gnuplot 5.2 patchlevel 2) + /Creator (gnuplot 5.2 patchlevel 3) % /Producer (gnuplot) % /Keywords () - /CreationDate (Thu May 10 20:47:25 2018) + /CreationDate (Mon May 28 09:40:51 2018) /DOCINFO pdfmark end } ifelse @@ -503,10 +503,6 @@ gsave % colour palette begin } ifelse} def /Constrain { dup 0 lt {0 exch pop}{dup 1 gt {1 exch pop} if} ifelse} def -/YIQ2RGB { - 3 copy -1.702 mul exch -1.105 mul add add Constrain 4 1 roll - 3 copy -0.647 mul exch -0.272 mul add add Constrain 5 1 roll - 0.621 mul exch -0.956 mul add add Constrain 3 1 roll } def /CMY2RGB { 1 exch sub exch 1 exch sub 3 2 roll 1 exch sub 3 1 roll exch } def /XYZ2RGB { 3 copy -0.9017 mul exch -0.1187 mul add exch 0.0585 mul exch add Constrain 4 1 roll 3 copy -0.0279 mul exch 1.999 mul add exch diff --git a/figs/fig_correlation-times.gplot b/figs/fig_correlation-times.gplot new file mode 100644 index 0000000..7dac658 --- /dev/null +++ b/figs/fig_correlation-times.gplot @@ -0,0 +1,133 @@ + +# data and constants, sorted by column + +isingRange = "[0.0000005:5000000]" + +dataIsing2D = "data/correlation-times/ising-2d.dat" +betaIsing2D = 1.0 / 8.0 +nuIsing2D = 1.0 +deltaIsing2D = 15.0 +gammaIsing2D = 7.0 / 4.0 +zIsing2D = 0.231 + +dataIsing3D = "data/correlation-times/ising-3d.dat" +betaIsing3D = 0.326419 +nuIsing3D = 0.629971 +deltaIsing3D = 4.78984 +gammaIsing3D = 1.237075 +zIsing3D = 0.316 + +pottsRange="[0.000001:5000000]" + +data3Potts2D = "data/correlation-times/potts-3.dat" +beta3Potts2D = 1.0 / 9.0 +nu3Potts2D = 5.0 / 6.0 +delta3Potts2D = 14.0 +gamma3Potts2D = 13.0 / 9.0 +z3Potts2D = 0.568 + +data4Potts2D = "data/correlation-times/potts-4.dat" +beta4Potts2D = 1.0 / 12.0 +nu4Potts2D = 2.0 / 3.0 +delta4Potts2D = 15.0 +gamma4Potts2D = 7.0 / 6.0 +z4Potts2D = 0.953 + +vectorRange="[0.000001:10000000]" + +data2Vector3D = "data/correlation-times/planar-pert.dat" +beta2Vector3D = 0.3470 +nu2Vector3D = 0.6703 +delta2Vector3D = 4.79539 +gamma2Vector3D = 1.3169 +z2Vector3D = 0.39 + +data3Vector3D = "data/correlation-times/heisenberg-pert.dat" +beta3Vector3D = 0.3662 +nu3Vector3D = 0.7073 +delta3Vector3D = 4.79465 +gamma3Vector3D = 1.3895 +z3Vector3D = 0.295 + +# define colors + +cc1 = "#5e81b5" +cc2 = "#e19c24" +cc3 = "#8fb032" +cc4 = "#eb6235" +cc5 = "#8778b3" +cc6 = "#c56e1a" +cc7 = "#5d9ec7" + +set palette model RGB defined ( 8 cc1, 16 cc2, 32 cc3, 64 cc4, 128 cc5, 256 cc6 , 512 cc7 ) + +# global plotting settings + +set terminal epslatex size 6.834, 2.81576 +set output "fig_correlation-times.tex" + +set multiplot layout 2,3 margins 0.05, 0.995, 0.15, 0.99 spacing 0.05, 0.015 +set size ratio 1 / 1.61803398875 +set key autotitle columnhead +unset colorbox +set nokey +set logscale xy + +scaledylabel = '"$\\avg{s_{\\text{\\sc 1c}}}L^{-\\gamma/\\nu}$" offset 2,0' + +# plotting the first row +set format x "" +unset xlabel +set ylabel @scaledylabel + +# ploting Ising 2D +set xrange @isingRange +set yrange [0.2:1.1] + +plot dataIsing2D using (column("H")/column("T") * exp(log(column("L")) * betaIsing2D * deltaIsing2D / nuIsing2D)):(column("t") * column("S") * exp(-log(column("L")) * (zIsing2D + 2))):(sqrt((column("dt")/column("t"))**2 + (column("dS")/column("S"))**2) * column("t") * column("S") * exp(-log(column("L")) * (zIsing2D + 2))):1 with yerrorbars pt 0 lw 2 palette,\ + dataIsing2D using (column("H")/column("T") * exp(log(column("L")) * betaIsing2D * deltaIsing2D / nuIsing2D)):(column("t") * column("S") * exp(-log(column("L")) * (zIsing2D + 2))):1 with lines palette + +unset ylabel + +# plotting 3 Potts 2D +set xrange @pottsRange +set yrange [0.05:2] + +plot data3Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta3Potts2D * delta3Potts2D / nu3Potts2D)):(column("t") * column("S") * exp(-log(column("L")) * (z3Potts2D + 2))):(sqrt((column("dt")/column("t"))**2 + (column("dS")/column("S"))**2) * column("t") * column("S") * exp(-log(column("L")) * (z3Potts2D + 2))):1 with yerrorbars pt 0 lw 2 palette,\ + data3Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta3Potts2D * delta3Potts2D / nu3Potts2D)):(column("t") * column("S") * exp(-log(column("L")) * (z3Potts2D + 2))):1 with lines palette + +# plotting 2 Vector 3D +set xrange @vectorRange +set yrange [0.4:2] + +plot data2Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta2Vector3D * delta2Vector3D / nu2Vector3D)):(column("t") * column("S") * exp(-log(column("L")) * (z2Vector3D + 3))):(sqrt((column("dt")/column("t"))**2 + (column("dS")/column("S"))**2) * column("t") * column("S") * exp(-log(column("L")) * (z2Vector3D + 3))):1 with yerrorbars pt 0 lw 2 palette,\ + data2Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta2Vector3D * delta2Vector3D / nu2Vector3D)):(column("t") * column("S") * exp(-log(column("L")) * (z2Vector3D + 3))):1 with lines palette + +# plotting the second row +set format x '$10^{%T}$' +set xlabel '$hL^{\beta\delta/\nu}$' +set ylabel @scaledylabel + +# plotting Ising 3D +set xrange @isingRange +set yrange [0.2:1] + +plot dataIsing3D using (column("H")/column("T") * exp(log(column("L")) * betaIsing3D * deltaIsing3D / nuIsing3D)):(column("t") * column("S") * exp(-log(column("L")) * (zIsing3D + 3))):(sqrt((column("dt")/column("t"))**2 + (column("dS")/column("S"))**2) * column("t") * column("S") * exp(-log(column("L")) * (zIsing3D + 3))):1 with yerrorbars pt 0 lw 2 palette,\ + dataIsing3D using (column("H")/column("T") * exp(log(column("L")) * betaIsing3D * deltaIsing3D / nuIsing3D)):(column("t") * column("S") * exp(-log(column("L")) * (zIsing3D + 3))):1 with lines palette + +unset ylabel + +# plotting 4 Potts 2D +set xrange @pottsRange +set yrange [0.02:4] + +plot data4Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta4Potts2D * delta4Potts2D / nu4Potts2D)):(column("t") * column("S") * exp(-log(column("L")) * (z4Potts2D + 2))):(sqrt((column("dt")/column("t"))**2 + (column("dS")/column("S"))**2) * column("t") * column("S") * exp(-log(column("L")) * (z4Potts2D + 2))):1 with yerrorbars pt 0 lw 2 palette,\ + data4Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta4Potts2D * delta4Potts2D / nu4Potts2D)):(column("t") * column("S") * exp(-log(column("L")) * (z4Potts2D + 2))):1 with lines palette + +# plotting 3 Vector 3D +set xrange @vectorRange +set yrange [0.9:4] + +plot data3Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta3Vector3D * delta3Vector3D / nu3Vector3D)):(column("t") * column("S") * exp(-log(column("L")) * (z3Vector3D + 3))):(sqrt((column("dt")/column("t"))**2 + (column("dS")/column("S"))**2) * column("t") * column("S") * exp(-log(column("L")) * (z3Vector3D + 3))):1 with yerrorbars pt 0 lw 2 palette,\ + data3Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta3Vector3D * delta3Vector3D / nu3Vector3D)):(column("t") * column("S") * exp(-log(column("L")) * (z3Vector3D + 3))):1 with lines palette + diff --git a/figs/fig_generator-times.gplot b/figs/fig_generator-times.gplot new file mode 100644 index 0000000..34a44fd --- /dev/null +++ b/figs/fig_generator-times.gplot @@ -0,0 +1,21 @@ + +set term epslatex size 3.417, 2.3 +set output "fig_generator-times.tex" + +set logscale xy + +dataPlanarUni = "data/correlation-times/planar-uni.dat" +dataPlanarPert = "data/correlation-times/planar-pert.dat" + +set nokey +set size ratio 1 / 1.61803398875 + +set xlabel '$|H|$' +set ylabel "$\\avg{s_{\\text{\\sc 1c}}}\\tau$" + +set format x '$10^{%T}$' + +plot dataPlanarUni using (column("H")):((column("L") == 32 ? column("t") : 1/0) * column("S") * exp(-log(column("L")) * (2))):(sqrt((column("dt")/column("t"))**2 + (column("dS")/column("S"))**2) * column("S") * exp(-log(column("L")) * (2))) with yerrorbars pt 0 lw 2 lc rgb "red",\ + dataPlanarUni using (column("H")):((column("L") == 32 ? column("t") : 1/0) * column("S") * exp(-log(column("L")) * (2))) with lines lc rgb "red",\ + dataPlanarPert using (column("H")):((column("L") == 32 ? column("t") : 1/0) * column("S") * exp(-log(column("L")) * (2))):(sqrt((column("dt")/column("t"))**2 + (column("dS")/column("S"))**2) * column("t") * column("S") * exp(-log(column("L")) * (2))) with yerrorbars pt 0 lw 2 lc rgb "green",\ + dataPlanarPert using (column("H")):((column("L") == 32 ? column("t") : 1/0) * column("S") * exp(-log(column("L")) * (2))) with lines lc rgb "green" diff --git a/figs/fig_harmonic-susceptibilities.gplot b/figs/fig_harmonic-susceptibilities.gplot new file mode 100644 index 0000000..85d474f --- /dev/null +++ b/figs/fig_harmonic-susceptibilities.gplot @@ -0,0 +1,37 @@ + +set terminal epslatex size 3.417, 5.3 +set output "fig_harmonic-susceptibilities.tex" + +data4 = "data/harmonic-susceptibilities/order-4.dat" +data6 = "data/harmonic-susceptibilities/order-6.dat" + +set palette defined (0 'blue', 0.33 'green', 0.66 'yellow', 1 'red') +stats data6 using "H" +set cbrange[STATS_min:STATS_max] +set logscale xycb +set nokey + +set xrange [1:5000] +set yrange [0.01:10000] + +unset colorbox + +set multiplot layout 2,1 margins 0.15, 0.99, 0.225, 0.99 spacing 0,0.015 +set size ratio 1 / 1.61803398875 + +unset xlabel +set ylabel '$\chi$' offset 3 +set format x '' + +plot data4 using "L":"X":"dX":"H" with yerrorbars pt 0 lw 2 palette,\ + data4 using "L":"X":"H" with lines palette + +set xlabel '$L$' +set colorbox horizontal user origin 0.15, 0.1 size 0.84, 0.03 +set cblabel '(Top) $h_4$ or (bottom) $h_6$' +set cbtics format '$10^{%T}$' +set format x + +plot data6 using "L":"X":"dX":"H" with yerrorbars pt 0 lw 2 palette,\ + data6 using "L":"X":"H" with lines palette + @@ -1,6 +1,6 @@ DOC=monte-carlo -FIGS=fig_correlation_collapse-hL fig_correlation fig_metastable fig_correlation-temp fig_clusters_ising2d +FIGS=fig_correlation_collapse-hL fig_correlation fig_metastable fig_correlation-temp fig_clusters_ising2d fig_correlation-times fig_harmonic-susceptibilities fig_generator-times DATA=correlation correlation_temp metastable_raw metastable_func all: ${DOC}.pdf diff --git a/monte-carlo.tex b/monte-carlo.tex index e30acd1..e258818 100644 --- a/monte-carlo.tex +++ b/monte-carlo.tex @@ -510,6 +510,14 @@ conjecture. \label{fig:cluster_scaling} \end{figure*} +\begin{figure} + \include{fig_generator-times} +\end{figure} + +\begin{figure} + \include{fig_harmonic-susceptibilities} +\end{figure} + We have taken several disparate extensions of cluster methods to spin models in an external field and generalized them to work for any model of a broad class. The resulting representation involves the introduction of not a ghost @@ -528,6 +536,10 @@ perturbations on spin models can be tested numerically \cite{jose_renormalization_1977, blankschtein_fluctuation-induced_1982, bruce_coupled_1975, manuel_carmona_$n$-component_2000}. +\begin{figure*} + \include{fig_correlation-times} +\end{figure*} + \begin{acknowledgments} This work was supported by NSF grant NSF DMR-1719490. \end{acknowledgments} diff --git a/test.png b/test.png Binary files differnew file mode 100644 index 0000000..6452fc7 --- /dev/null +++ b/test.png |
