From 887b3ed009138d8fbcd81db335b2991626474d64 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Mon, 22 Oct 2018 12:02:54 -0400 Subject: new data --- data/correlation-times/heisenberg-pert.dat | 20 ++++---- data/correlation-times/ising-3d.dat | 3 +- data/correlation-times/planar-pert.dat | 6 +-- data/harmonic-susceptibilities/order-4.dat | 44 +++++++++--------- data/harmonic-susceptibilities/order-6.dat | 74 +++++++++++++++--------------- 5 files changed, 74 insertions(+), 73 deletions(-) diff --git a/data/correlation-times/heisenberg-pert.dat b/data/correlation-times/heisenberg-pert.dat index 265a762..453bf29 100644 --- a/data/correlation-times/heisenberg-pert.dat +++ b/data/correlation-times/heisenberg-pert.dat @@ -94,13 +94,13 @@ L T H S dS t dt 64 1.44325 0.1 26715.47363923077 21.80487027547604 29.00819256963733 0.259179815903674 64 1.44325 0.316228 40918.33412611247 53.44529134484493 19.35207659063876 0.2623871123313593 64 1.44325 1. 59423.18256666666 91.2124821915958 14.134628333514 0.2254659063928293 -64 1.44325 3.16228 78059.42644236491 156.3661231345842 11.66557541784087 0.2525370543945964 +64 1.44325 3.16228 78169.3047970735 109.5910776495144 11.7916228640994 0.1795640697908674 -128 1.44325 0.000000316228 7737.228152685185 16.90610371681803 -23641.05917707659 1159.644224610336 -128 1.44325 0.000001 7754.873250648148 16.92685698104313 -23705.3352977889 1162.79710501244 -128 1.44325 0.00000316228 7759.030673992884 17.20681664478165 -24026.94620130534 1197.826213281338 -128 1.44325 0.00001 8039.08672178445 17.89483111045099 -25352.34626033004 1281.740706874426 -128 1.44325 0.0000316228 9551.75515565657 20.56133313076239 -26018.52198993725 1333.014096678836 +128 1.44325 0.000000316228 7737.228152685185 16.90610371681803 1123.445680245412 64.82071362726517 +128 1.44325 0.000001 7754.873250648148 16.92685698104313 1187.671897559639 70.45852340665157 +128 1.44325 0.00000316228 7759.030673992884 17.20681664478165 1117.149787644501 65.32798233826777 +128 1.44325 0.00001 8039.08672178445 17.89483111045099 1108.536969518672 65.48503266881768 +128 1.44325 0.0000316228 9551.75515565657 20.56133313076239 978.155100333909 55.00522138124804 128 1.44325 0.0001 13379.65652155741 27.24825605420194 673.5208947539641 32.62502584044031 128 1.44325 0.000316228 20527.58480855556 37.6702696250537 382.8115687527922 14.12546447272959 128 1.44325 0.001 32756.75256455556 52.95301516596892 230.6353664494424 6.607075982041156 @@ -108,11 +108,11 @@ L T H S dS t dt 128 1.44325 0.01 84967.1990766219 119.8358076762023 76.87003100807919 1.448480554724095 128 1.44325 0.0316228 135695.7818519379 174.6112812112161 45.75321854444867 0.6998345919725421 128 1.44325 0.1 213940.2132357407 256.7359332775548 29.38143847530791 0.3888854931979229 -128 1.44325 0.316228 327145.3491066219 670.2201445526917 19.29575174135062 0.4109665673712014 +128 1.44325 0.316228 327275.0013575393 596.631309888479 19.2179982993354 0.3632700133337567 -256 1.44325 0.000000316228 25736.69038793651 91.8985860154056 -323538.3277887537 20779.02563355365 -256 1.44325 0.000001 25865.246304435 93.5631403192945 -347145.7604366052 22640.39917554655 -256 1.44325 0.00000316228 28240.01222462963 106.4249051807416 -381348.2834864555 26454.20002739628 +256 1.44325 0.000000316228 25736.69038793651 91.8985860154056 2791.11662581606 332.3358588203989 +256 1.44325 0.000001 25865.246304435 93.5631403192945 3088.096806649422 392.7536435871764 +256 1.44325 0.00000316228 28240.01222462963 106.4249051807416 2239.686846226947 258.0306168678574 256 1.44325 0.00001 38732.47296333334 133.9567162548657 1934.70179506455 207.1627111949778 256 1.44325 0.0000316228 59935.02118498685 225.6377034592801 1483.469889783789 169.749708941455 256 1.44325 0.0001 97492.9900532725 393.4428132768276 668.0354489245455 62.4266047131426 diff --git a/data/correlation-times/ising-3d.dat b/data/correlation-times/ising-3d.dat index 565d535..82e6e4b 100644 --- a/data/correlation-times/ising-3d.dat +++ b/data/correlation-times/ising-3d.dat @@ -107,6 +107,7 @@ L T H S dS t dt 128 4.511527855977594 0.01 301694.4733388888 406.8419887651353 9.48094645387296 0.1236164178513723 128 4.511527855977594 0.0316228 473657.9822633333 525.0969096566845 5.389503259615959 0.05359477938196742 128 4.511527855977594 0.0316228 473810.393276046 248.1637429922758 5.42504130501244 0.02550335499361629 +128 4.511527855977594 0.1 731433.3788871951 2860.376016181089 3.182539211446089 0.1081211753987908 128 4.511527855977594 0.1 734327.7342035004 2627.63536024904 3.111575662928636 0.0956810839001747 256 4.511527855977594 0.000000316228 82326.9296077778 319.4289551490305 573.2942361728692 47.26217758244279 @@ -119,8 +120,8 @@ L T H S dS t dt 256 4.511527855977594 0.00001 147087.6588092692 479.9962585092091 327.3747097315912 22.55770765664332 256 4.511527855977594 0.0000316228 230428.5631922222 486.8113385046164 173.2844082931849 6.803849975774163 256 4.511527855977594 0.0000316228 231241.4835405555 690.9766473805729 176.0991408063061 9.85561024324474 -256 4.511527855977594 0.0001 368815.0179795082 1043.618436581774 95.7533331115935 4.384827873424615 256 4.511527855977594 0.0001 369087.7374438083 718.7006424051432 101.5480026056146 3.299456635565838 +256 4.511527855977594 0.0001 369196.0151928154 976.612635513245 95.5959996997236 4.089854341175419 256 4.511527855977594 0.000316228 590683.7955970371 1060.473562168052 54.39261407562467 1.383184676028584 256 4.511527855977594 0.001 950330.768211111 1463.132604002818 29.91433293330963 0.5646573385300568 256 4.511527855977594 0.00316228 1518083.428362593 1989.973570134875 16.40983160170885 0.2299112258581515 diff --git a/data/correlation-times/planar-pert.dat b/data/correlation-times/planar-pert.dat index d6e304c..2ccec13 100644 --- a/data/correlation-times/planar-pert.dat +++ b/data/correlation-times/planar-pert.dat @@ -95,7 +95,7 @@ L T H S dS t dt 64 2.20167 0.316228 35933.31660075755 30.88345734518931 15.15142210917954 0.1073565791694017 64 2.20167 1. 50606.28575944444 89.1466719237892 10.68145598672134 0.1480922229384029 64 2.20167 3.16228 63704.62395722223 101.0098549493077 8.51251505306987 0.1057898590051419 -64 2.20167 10. 71520.37444864703 169.5419987199532 7.347197293101593 0.1354663353588276 +64 2.20167 10. 71410.76213111084 107.7599856696656 7.352799320594897 0.0861594304905618 128 2.20167 0.000000316228 7527.854320777777 19.50849171413825 -75976.3161699774 2964.0502259161 128 2.20167 0.000001 7538.854289333332 19.50017544269328 -75948.54995229473 2962.966987507817 @@ -109,7 +109,7 @@ L T H S dS t dt 128 2.20167 0.01 77443.98246963894 125.6055697399933 62.13503566497229 1.118106664511062 128 2.20167 0.0316228 122669.8183904444 203.5036254771335 38.14850919537809 0.6296751423808226 128 2.20167 0.1 190667.6108136287 291.7886591363135 23.07654320955112 0.3126733623245518 -128 2.20167 0.316228 287554.4589300098 435.351317277209 15.03845737466715 0.1871374184308159 +128 2.20167 0.316228 287458.3309478462 419.6784317777746 15.03185342789501 0.1803264687718583 128 2.20167 1. 405817.1447283935 1937.631163500249 10.6933239895578 0.3984654753072863 128 2.20167 316.22800000000001 617703.4864595631 3194.702407616145 6.727261293892746 0.269814227605772 @@ -120,4 +120,4 @@ L T H S dS t dt 256 2.20167 0.0000316228 64039.33107256288 208.7387164186404 -538832.345218083 27671.5363891305 256 2.20167 0.0001 97104.8274691111 304.4665277469609 -657778.3321377984 36291.24667734729 256 2.20167 0.000316228 152906.2809616713 469.4261725061255 316.4923960371564 16.59776809188589 -256 2.20167 0.001 244266.6757109318 935.229792500166 204.3577850088168 12.16820777137721 \ No newline at end of file +256 2.20167 0.001 244362.5787809288 901.64250150279 202.8466949694594 11.59792325741977 \ No newline at end of file diff --git a/data/harmonic-susceptibilities/order-4.dat b/data/harmonic-susceptibilities/order-4.dat index 075aac2..6771ad9 100644 --- a/data/harmonic-susceptibilities/order-4.dat +++ b/data/harmonic-susceptibilities/order-4.dat @@ -7,8 +7,8 @@ H T L X dX 0.00000001 0.7 64 4.957742422694277 0.02438117097171551 0.00000001 0.7 128 17.7962626495225 0.3262798939933926 0.00000001 0.7 256 63.64728674037386 1.126290310101313 -0.00000001 0.7 512 Indeterminate Indeterminate -0.00000001 0.7 1024 Indeterminate Indeterminate +0.00000001 0.7 512 230.3869649315519 3.771341028200669 +0.00000001 0.7 1024 828.916205514522 13.95459042173237 0.00000001 0.7 2048 2999.630395848571 49.49145603697337 0.0000000316228 0.7 4 0.052343561963217 0.0003673658289371157 @@ -20,7 +20,7 @@ H T L X dX 0.0000000316228 0.7 256 63.28337563147736 1.11251300156455 0.0000000316228 0.7 512 233.8596476303272 3.545027780951424 0.0000000316228 0.7 1024 828.376679511941 11.67579409332817 -0.0000000316228 0.7 2048 3039.630724987614 162.4808293049552 +0.0000000316228 0.7 2048 2993.047668402682 97.1912717720616 0.0000001 0.7 4 0.05223401950140071 0.0003731975829630369 0.0000001 0.7 8 0.1429694873983018 0.000843343260972821 @@ -29,8 +29,8 @@ H T L X dX 0.0000001 0.7 64 4.963898312835877 0.02447266791770779 0.0000001 0.7 128 17.73229335142397 0.3092177231064138 0.0000001 0.7 256 63.83324711812228 1.173203979279074 -0.0000001 0.7 512 Indeterminate Indeterminate -0.0000001 0.7 1024 Indeterminate Indeterminate +0.0000001 0.7 512 231.4377346405984 3.731618938600505 +0.0000001 0.7 1024 822.979910435388 13.09823070176746 0.0000001 0.7 2048 3009.361915960908 52.00020955261389 0.000000316228 0.7 4 0.05245515345843847 0.0003752125991474835 @@ -50,8 +50,8 @@ H T L X dX 0.000001 0.7 64 4.9579550810079 0.02463404765919623 0.000001 0.7 128 17.36785216098854 0.3039606956331071 0.000001 0.7 256 64.57856465603982 1.194759451248703 -0.000001 0.7 512 Indeterminate Indeterminate -0.000001 0.7 1024 Indeterminate Indeterminate +0.000001 0.7 512 232.4735045161132 3.676088957109831 +0.000001 0.7 1024 823.774117544776 13.60921075104826 0.000001 0.7 2048 3073.399658086377 54.64456369647887 0.00000316228 0.7 4 0.05204198760282251 0.0003667944407691691 @@ -62,7 +62,7 @@ H T L X dX 0.00000316228 0.7 128 18.18130786337471 0.3273645562821928 0.00000316228 0.7 256 64.71996941366731 1.23724237210937 0.00000316228 0.7 512 228.4982647126058 3.394168701456801 -0.00000316228 0.7 1024 836.59252051422 13.88603111122415 +0.00000316228 0.7 1024 827.802689028738 12.16640597232898 0.00001 0.7 4 0.0525371976374294 0.0003793764816669719 0.00001 0.7 8 0.1434924769898771 0.000852840225274723 @@ -71,8 +71,8 @@ H T L X dX 0.00001 0.7 64 4.974102897682704 0.02482223479250783 0.00001 0.7 128 17.75203171854498 0.3139298490840297 0.00001 0.7 256 63.62397373026137 1.146778620246743 -0.00001 0.7 512 Indeterminate Indeterminate -0.00001 0.7 1024 Indeterminate Indeterminate +0.00001 0.7 512 226.4243360369333 3.695411654798611 +0.00001 0.7 1024 839.546515345407 15.37289738929801 0.00001 0.7 2048 3004.724444351824 68.84712222473252 0.0000316228 0.7 4 0.05221346325826255 0.0003642827048016773 @@ -92,8 +92,8 @@ H T L X dX 0.0001 0.7 64 4.957098514180091 0.02454095119385487 0.0001 0.7 128 17.57474937226886 0.3154909675317406 0.0001 0.7 256 64.08255066704442 1.245281403388658 -0.0001 0.7 512 Indeterminate Indeterminate -0.0001 0.7 1024 Indeterminate Indeterminate +0.0001 0.7 512 230.209586620601 4.523992538486834 +0.0001 0.7 1024 827.115724875309 22.62210967208504 0.0001 0.7 2048 3006.315151814571 179.9457102490299 0.000316228 0.7 4 0.05241036355607369 0.00036942439201327 @@ -113,7 +113,7 @@ H T L X dX 0.001 0.7 64 4.961454498122423 0.02513864062178955 0.001 0.7 128 17.53736408624588 0.3702425593477615 0.001 0.7 256 65.8476714810448 1.967191522681203 -0.001 0.7 512 Indeterminate Indeterminate +0.001 0.7 512 225.163313530294 10.68692239314697 0.001 0.7 1024 823.074643835924 43.17304453953839 0.00316228 0.7 4 0.05200180823795872 0.0003609437360906834 @@ -132,8 +132,8 @@ H T L X dX 0.01 0.7 64 5.093212913575371 0.03870922709370573 0.01 0.7 128 18.07311017080922 0.807801869102432 0.01 0.7 256 71.68993675843272 6.900969374490879 -0.01 0.7 512 Indeterminate Indeterminate -0.01 0.7 1024 458.7535503607277 0. + 80.8897788882944 I +0.01 0.7 512 255.841078458013 43.76366473183405 +0.01 0.7 1024 458.7535503607277 108.4709665747754 0.0316228 0.7 4 0.05244101281736135 0.0003713312097060542 0.0316228 0.7 8 0.1445296262221315 0.000869934906427322 @@ -142,7 +142,7 @@ H T L X dX 0.0316228 0.7 64 5.409142350196946 0.0812740998757673 0.0316228 0.7 128 17.74073933187537 2.323051555845365 0.0316228 0.7 256 26.5960198034944 2.7907610662326 -0.0316228 0.7 512 37.5972140963339 4.030347165605021 +0.0316228 0.7 512 36.24676081593082 3.551947649496119 0.1 0.7 4 0.05332617816755457 0.0003879512199012261 0.1 0.7 8 0.1520278055579029 0.001054469877021083 @@ -151,7 +151,7 @@ H T L X dX 0.1 0.7 64 2.516837465640752 0.07599503133573952 0.1 0.7 128 3.054604290131725 0.4103816445966279 0.1 0.7 256 3.056688849215529 0.2151475565993234 -0.1 0.7 512 Indeterminate Indeterminate +0.1 0.7 512 3.129812673973252 0.2218506945173745 0.1 0.7 1024 3.203270172234625 0.2438102647389073 0.316228 0.7 4 0.05672151711334093 0.0004961416770965382 @@ -170,7 +170,7 @@ H T L X dX 1. 0.7 64 0.05724461064281579 0.000475826425665011 1. 0.7 128 0.05739336686019669 0.001659073879347687 1. 0.7 256 0.05715812963899225 0.001662193423723626 -1. 0.7 512 Indeterminate Indeterminate +1. 0.7 512 0.05824504702884171 0.001760375324564952 1. 0.7 1024 0.05767396152285594 0.001662801439053119 3.16228 0.7 4 0.01959319682612204 0.0004610017074237797 @@ -189,7 +189,7 @@ H T L X dX 10. 0.7 64 0.01842188462108295 0.0001803980255426141 10. 0.7 128 0.01838836934569242 0.0006137644293692731 10. 0.7 256 0.01803520992065647 0.0006372153484996153 -10. 0.7 512 Indeterminate Indeterminate +10. 0.7 512 0.01807339539352272 0.0006136358449834677 10. 0.7 1024 0.01842747342639736 0.000648586148912217 31.6228 0.7 4 0.01572532570267222 0.0006312207694860157 @@ -208,7 +208,7 @@ H T L X dX 100.00000000000000 0.7 64 0.01685907815499377 0.0002663058871984808 100.00000000000000 0.7 128 0.01702086681949108 0.000901650179397355 100.00000000000000 0.7 256 0.01658185886169252 0.000900691366680947 -100.00000000000000 0.7 512 Indeterminate Indeterminate +100.00000000000000 0.7 512 0.01676921441685408 0.000889578876910434 100.00000000000000 0.7 1024 0.01714154778580581 0.0007023953805638529 316.22800000000001 0.7 4 0.01446032375387826 0.000972207863508842 @@ -227,7 +227,7 @@ H T L X dX 1000.00000000000000 0.7 64 0.01697410068248116 0.0004423600511363388 1000.00000000000000 0.7 128 0.01684433232834895 0.001593633171479882 1000.00000000000000 0.7 256 0.01691584365159672 0.001726626203958999 -1000.00000000000000 0.7 512 Indeterminate Indeterminate +1000.00000000000000 0.7 512 0.01630059006856754 0.001499557062273935 1000.00000000000000 0.7 1024 0.01779298148384052 0.000751872902173977 3162.28000000000020 0.7 4 0.01517600728664295 0.001618389273719028 @@ -238,4 +238,4 @@ H T L X dX 3162.28000000000020 0.7 128 0.01583736123003681 0.001800400170445074 3162.28000000000020 0.7 256 0.01716711444065108 0.001933577231705503 3162.28000000000020 0.7 512 0.01694215382615637 0.0006727133700737935 -3162.28000000000020 0.7 1024 0.01672175330375986 0.001565876353538748 \ No newline at end of file +3162.28000000000020 0.7 1024 0.01651809051898973 0.000914933730857445 \ No newline at end of file diff --git a/data/harmonic-susceptibilities/order-6.dat b/data/harmonic-susceptibilities/order-6.dat index 1fe70f2..2f1943c 100644 --- a/data/harmonic-susceptibilities/order-6.dat +++ b/data/harmonic-susceptibilities/order-6.dat @@ -19,7 +19,7 @@ H T L X dX 0.0000000316228 0.7 256 63.96689038890535 0.403335689844474 0.0000000316228 0.7 512 232.0588682380705 2.066447183291507 0.0000000316228 0.7 1024 840.426086690194 9.14319319071718 -0.0000000316228 0.7 2048 3059.182855980138 49.35317899812524 +0.0000000316228 0.7 2048 3047.65818538111 45.58680627289052 0.0000001 0.7 4 0.05201378524144928 0.0002562378207161276 0.0000001 0.7 8 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+3162.28000000000020 0.7 1024 320.5610507790698 25.18149609858265 \ No newline at end of file -- cgit v1.2.3-54-g00ecf From 786ca95479f4f03756e453959aae065f761cbd5b Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Mon, 22 Oct 2018 12:25:41 -0400 Subject: renamed the cluster figure and added hyperlink line breaks --- .gitignore | 1 + figs/fig_cluster-scaling.gplot | 159 ++++++++++++++++++++++++++++++++++++++++ figs/fig_clusters_ising2d.gplot | 159 ---------------------------------------- makefile | 2 +- monte-carlo.tex | 5 +- 5 files changed, 164 insertions(+), 162 deletions(-) create mode 100644 figs/fig_cluster-scaling.gplot delete mode 100644 figs/fig_clusters_ising2d.gplot diff --git a/.gitignore b/.gitignore index 5e54a7f..aa5e894 100644 --- a/.gitignore +++ b/.gitignore @@ -1,4 +1,5 @@ *.pdf +*.out *.aux *.log *.bbl diff --git a/figs/fig_cluster-scaling.gplot b/figs/fig_cluster-scaling.gplot new file mode 100644 index 0000000..d22be31 --- /dev/null +++ b/figs/fig_cluster-scaling.gplot @@ -0,0 +1,159 @@ + +# 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 + +dataIsing3D = "data/correlation-times/ising-3d.dat" +betaIsing3D = 0.326419 +nuIsing3D = 0.629971 +deltaIsing3D = 4.78984 +gammaIsing3D = 1.237075 + +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 + +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 + +vectorRange="[0.000001:10000000]" + +data2Vector3D = "data/correlation-times/planar-pert.dat" +beta2Vector3D = 0.3470 +nu2Vector3D = 0.6703 +delta2Vector3D = 4.79539 +gamma2Vector3D = 1.3169 + +data3Vector3D = "data/correlation-times/heisenberg-pert.dat" +beta3Vector3D = 0.3662 +nu3Vector3D = 0.7073 +delta3Vector3D = 4.79465 +gamma3Vector3D = 1.3895 + +# define colors + +cc1 = "#5e81b5" +cc2 = "#e19c24" +cc3 = "#8fb032" +cc4 = "#eb6235" +cc5 = "#8778b3" +cc6 = "#c56e1a" +cc7 = "#5d9ec7" +cc8 = "#ffbf00" + +set palette model RGB defined ( 4 cc1, 8 cc2, 16 cc3, 32 cc4, 64 cc5, 128 cc6, 256 cc7 , 512 cc8 ) +set cbrange [4:512] + +# global plotting settings + +set terminal epslatex size 6.834, 3.3 +set output "fig_cluster-scaling.tex" + +set multiplot layout 2,3 margins 0.05, 0.995, 0.15, 0.9 spacing 0.05, 0.015 +set size ratio 1 / 1.61803398875 +set key autotitle columnhead +unset colorbox +set nokey +set logscale xy + +scaledylabel = '"$\\avg{s_{\\text{\\sc 1c}}}L^{-D\\gamma/\\nu}$" offset 2,0' + +# plotting the first row +set format x "" +unset xlabel +set ylabel @scaledylabel + +# ploting Ising 2D +set xrange @isingRange +set yrange [0.8:6] + +set title '\twodee Ising' offset -6.5,-2.5 + +plot dataIsing2D using (column("H")/column("T") * exp(log(column("L")) * betaIsing2D * deltaIsing2D / nuIsing2D)):(column("S") * exp(-log(column("L")) * (gammaIsing2D / nuIsing2D))):(column("dS") * exp(-log(column("L")) * (gammaIsing2D / nuIsing2D))):1 with yerrorbars pt 0 lw 2 palette,\ + dataIsing2D using (column("H")/column("T") * exp(log(column("L")) * betaIsing2D * deltaIsing2D / nuIsing2D)):(column("S") * exp(-log(column("L")) * (gammaIsing2D / nuIsing2D))):1 with lines palette,\ + 1.4 * exp(log(x) * 2 / deltaIsing2D) with lines lc rgb "black" + +unset ylabel + +# plotting 3 Potts 2D +set xrange @pottsRange +set yrange [0.9:6] + +set title '\twodee 3-State Potts' offset -4,-2.5 + +set key above center vertical maxrows 1 + +plot data3Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta3Potts2D * delta3Potts2D / nu3Potts2D)):(column("S") * exp(-log(column("L")) * (gamma3Potts2D / nu3Potts2D))):(column("dS") * exp(-log(column("L")) * (gamma3Potts2D / nu3Potts2D))):1 with yerrorbars pt 0 lw 2 palette notitle,\ + data3Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta3Potts2D * delta3Potts2D / nu3Potts2D)):(column("S") * exp(-log(column("L")) * (gamma3Potts2D / nu3Potts2D))):1 with lines palette notitle,\ + 1.4 * exp(log(x) * 2 / delta3Potts2D) with lines lc rgb "black",\ + NaN with lines lc rgb cc1 title "4",\ + NaN with lines lc rgb cc2 title "8",\ + NaN with lines lc rgb cc3 title "16",\ + NaN with lines lc rgb cc4 title "32",\ + NaN with lines lc rgb cc5 title "64",\ + NaN with lines lc rgb cc6 title "128",\ + NaN with lines lc rgb cc7 title "256",\ + NaN with lines lc rgb cc8 title "512" + +unset key + +# plotting 2 Vector 3D +set xrange @vectorRange +set yrange [0.2:80] + +set title '\threedee O(2)' offset -6.5,-2.5 + +plot data2Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta2Vector3D * delta2Vector3D / nu2Vector3D)):(column("S") * exp(-log(column("L")) * (gamma2Vector3D / nu2Vector3D))):(column("dS") * exp(-log(column("L")) * (gamma2Vector3D / nu2Vector3D))):1 with yerrorbars pt 0 lw 2 palette,\ + data2Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta2Vector3D * delta2Vector3D / nu2Vector3D)):(column("S") * exp(-log(column("L")) * (gamma2Vector3D / nu2Vector3D))):1 with lines palette,\ + 1 * exp(log(x) * 2 / delta2Vector3D) with lines lc rgb "black" + +# 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 [0.5:200] + +set title '\threedee Ising' offset -6.5,-2.5 + +plot dataIsing3D using (column("H")/column("T") * exp(log(column("L")) * betaIsing3D * deltaIsing3D / nuIsing3D)):(column("S") * exp(-log(column("L")) * (gammaIsing3D / nuIsing3D))):(column("dS") * exp(-log(column("L")) * (gammaIsing3D / nuIsing3D))):1 with yerrorbars pt 0 lw 2 palette,\ + dataIsing3D using (column("H")/column("T") * exp(log(column("L")) * betaIsing3D * deltaIsing3D / nuIsing3D)):(column("S") * exp(-log(column("L")) * (gammaIsing3D / nuIsing3D))):1 with lines palette,\ + 4 * exp(log(x) * 2 / deltaIsing3D) with lines lc rgb "black" + +unset ylabel + +# plotting 4 Potts 2D +set xrange @pottsRange +set yrange [0.8:6] + +set title '\twodee 4-State Potts' offset -4,-2.5 + +plot data4Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta4Potts2D * delta4Potts2D / nu4Potts2D)):(column("S") * exp(-log(column("L")) * (gamma4Potts2D / nu4Potts2D))):(column("dS") * exp(-log(column("L")) * (gamma4Potts2D / nu4Potts2D))):1 with yerrorbars pt 0 lw 2 palette,\ + data4Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta4Potts2D * delta4Potts2D / nu4Potts2D)):(column("S") * exp(-log(column("L")) * (gamma4Potts2D / nu4Potts2D))):1 with lines palette,\ + 1.4 * exp(log(x) * 2 / delta4Potts2D) with lines lc rgb "black" + +# plotting 3 Vector 3D +set xrange @vectorRange +set yrange [0.3:100] + +set title '\threedee O(3)' offset -6.5,-2.5 + +plot data3Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta3Vector3D * delta3Vector3D / nu3Vector3D)):(column("S") * exp(-log(column("L")) * (gamma3Vector3D / nu3Vector3D))):(column("dS") * exp(-log(column("L")) * (gamma3Vector3D / nu3Vector3D))):1 with yerrorbars pt 0 lw 2 palette,\ + data3Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta3Vector3D * delta3Vector3D / nu3Vector3D)):(column("S") * exp(-log(column("L")) * (gamma3Vector3D / nu3Vector3D))):1 with lines palette,\ + 1 * exp(log(x) * 2 / delta3Vector3D) with lines lc rgb "black" + diff --git a/figs/fig_clusters_ising2d.gplot b/figs/fig_clusters_ising2d.gplot deleted file mode 100644 index 2a4c3fb..0000000 --- a/figs/fig_clusters_ising2d.gplot +++ /dev/null @@ -1,159 +0,0 @@ - -# 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 - -dataIsing3D = "data/correlation-times/ising-3d.dat" -betaIsing3D = 0.326419 -nuIsing3D = 0.629971 -deltaIsing3D = 4.78984 -gammaIsing3D = 1.237075 - -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 - -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 - -vectorRange="[0.000001:10000000]" - -data2Vector3D = "data/correlation-times/planar-pert.dat" -beta2Vector3D = 0.3470 -nu2Vector3D = 0.6703 -delta2Vector3D = 4.79539 -gamma2Vector3D = 1.3169 - -data3Vector3D = "data/correlation-times/heisenberg-pert.dat" -beta3Vector3D = 0.3662 -nu3Vector3D = 0.7073 -delta3Vector3D = 4.79465 -gamma3Vector3D = 1.3895 - -# define colors - -cc1 = "#5e81b5" -cc2 = "#e19c24" -cc3 = "#8fb032" -cc4 = "#eb6235" -cc5 = "#8778b3" -cc6 = "#c56e1a" -cc7 = "#5d9ec7" -cc8 = "#ffbf00" - -set palette model RGB defined ( 4 cc1, 8 cc2, 16 cc3, 32 cc4, 64 cc5, 128 cc6, 256 cc7 , 512 cc8 ) -set cbrange [4:512] - -# global plotting settings - -set terminal epslatex size 6.834, 3.3 -set output "fig_clusters_ising2d.tex" - -set multiplot layout 2,3 margins 0.05, 0.995, 0.15, 0.9 spacing 0.05, 0.015 -set size ratio 1 / 1.61803398875 -set key autotitle columnhead -unset colorbox -set nokey -set logscale xy - -scaledylabel = '"$\\avg{s_{\\text{\\sc 1c}}}L^{-D\\gamma/\\nu}$" offset 2,0' - -# plotting the first row -set format x "" -unset xlabel -set ylabel @scaledylabel - -# ploting Ising 2D -set xrange @isingRange -set yrange [0.8:6] - -set title '\twodee Ising' offset -6.5,-2.5 - -plot dataIsing2D using (column("H")/column("T") * exp(log(column("L")) * betaIsing2D * deltaIsing2D / nuIsing2D)):(column("S") * exp(-log(column("L")) * (gammaIsing2D / nuIsing2D))):(column("dS") * exp(-log(column("L")) * (gammaIsing2D / nuIsing2D))):1 with yerrorbars pt 0 lw 2 palette,\ - dataIsing2D using (column("H")/column("T") * exp(log(column("L")) * betaIsing2D * deltaIsing2D / nuIsing2D)):(column("S") * exp(-log(column("L")) * (gammaIsing2D / nuIsing2D))):1 with lines palette,\ - 1.4 * exp(log(x) * 2 / deltaIsing2D) with lines lc rgb "black" - -unset ylabel - -# plotting 3 Potts 2D -set xrange @pottsRange -set yrange [0.9:6] - -set title '\twodee 3-State Potts' offset -4,-2.5 - -set key above center vertical maxrows 1 - -plot data3Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta3Potts2D * delta3Potts2D / nu3Potts2D)):(column("S") * exp(-log(column("L")) * (gamma3Potts2D / nu3Potts2D))):(column("dS") * exp(-log(column("L")) * (gamma3Potts2D / nu3Potts2D))):1 with yerrorbars pt 0 lw 2 palette notitle,\ - data3Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta3Potts2D * delta3Potts2D / nu3Potts2D)):(column("S") * exp(-log(column("L")) * (gamma3Potts2D / nu3Potts2D))):1 with lines palette notitle,\ - 1.4 * exp(log(x) * 2 / delta3Potts2D) with lines lc rgb "black",\ - NaN with lines lc rgb cc1 title "4",\ - NaN with lines lc rgb cc2 title "8",\ - NaN with lines lc rgb cc3 title "16",\ - NaN with lines lc rgb cc4 title "32",\ - NaN with lines lc rgb cc5 title "64",\ - NaN with lines lc rgb cc6 title "128",\ - NaN with lines lc rgb cc7 title "256",\ - NaN with lines lc rgb cc8 title "512" - -unset key - -# plotting 2 Vector 3D -set xrange @vectorRange -set yrange [0.2:80] - -set title '\threedee O(2)' offset -6.5,-2.5 - -plot data2Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta2Vector3D * delta2Vector3D / nu2Vector3D)):(column("S") * exp(-log(column("L")) * (gamma2Vector3D / nu2Vector3D))):(column("dS") * exp(-log(column("L")) * (gamma2Vector3D / nu2Vector3D))):1 with yerrorbars pt 0 lw 2 palette,\ - data2Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta2Vector3D * delta2Vector3D / nu2Vector3D)):(column("S") * exp(-log(column("L")) * (gamma2Vector3D / nu2Vector3D))):1 with lines palette,\ - 1 * exp(log(x) * 2 / delta2Vector3D) with lines lc rgb "black" - -# 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 [0.5:200] - -set title '\threedee Ising' offset -6.5,-2.5 - -plot dataIsing3D using (column("H")/column("T") * exp(log(column("L")) * betaIsing3D * deltaIsing3D / nuIsing3D)):(column("S") * exp(-log(column("L")) * (gammaIsing3D / nuIsing3D))):(column("dS") * exp(-log(column("L")) * (gammaIsing3D / nuIsing3D))):1 with yerrorbars pt 0 lw 2 palette,\ - dataIsing3D using (column("H")/column("T") * exp(log(column("L")) * betaIsing3D * deltaIsing3D / nuIsing3D)):(column("S") * exp(-log(column("L")) * (gammaIsing3D / nuIsing3D))):1 with lines palette,\ - 4 * exp(log(x) * 2 / deltaIsing3D) with lines lc rgb "black" - -unset ylabel - -# plotting 4 Potts 2D -set xrange @pottsRange -set yrange [0.8:6] - -set title '\twodee 4-State Potts' offset -4,-2.5 - -plot data4Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta4Potts2D * delta4Potts2D / nu4Potts2D)):(column("S") * exp(-log(column("L")) * (gamma4Potts2D / nu4Potts2D))):(column("dS") * exp(-log(column("L")) * (gamma4Potts2D / nu4Potts2D))):1 with yerrorbars pt 0 lw 2 palette,\ - data4Potts2D using (column("H")/column("T") * exp(log(column("L")) * beta4Potts2D * delta4Potts2D / nu4Potts2D)):(column("S") * exp(-log(column("L")) * (gamma4Potts2D / nu4Potts2D))):1 with lines palette,\ - 1.4 * exp(log(x) * 2 / delta4Potts2D) with lines lc rgb "black" - -# plotting 3 Vector 3D -set xrange @vectorRange -set yrange [0.3:100] - -set title '\threedee O(3)' offset -6.5,-2.5 - -plot data3Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta3Vector3D * delta3Vector3D / nu3Vector3D)):(column("S") * exp(-log(column("L")) * (gamma3Vector3D / nu3Vector3D))):(column("dS") * exp(-log(column("L")) * (gamma3Vector3D / nu3Vector3D))):1 with yerrorbars pt 0 lw 2 palette,\ - data3Vector3D using (column("H")/column("T") * exp(log(column("L")) * beta3Vector3D * delta3Vector3D / nu3Vector3D)):(column("S") * exp(-log(column("L")) * (gamma3Vector3D / nu3Vector3D))):1 with lines palette,\ - 1 * exp(log(x) * 2 / delta3Vector3D) with lines lc rgb "black" - diff --git a/makefile b/makefile index 8a25388..c3d9764 100644 --- a/makefile +++ b/makefile @@ -1,6 +1,6 @@ DOC=monte-carlo -FIGS=fig_correlation_collapse-hL fig_correlation fig_metastable fig_correlation-temp fig_clusters_ising2d fig_correlation-times fig_harmonic-susceptibilities fig_generator-times +FIGS=fig_cluster-scaling 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 a0a26fc..52a9e4a 100644 --- a/monte-carlo.tex +++ b/monte-carlo.tex @@ -4,7 +4,8 @@ \documentclass[aps,pre,reprint]{revtex4-1} -\usepackage{amsmath,amssymb,latexsym,mathtools,algorithm,listings} +\usepackage{amsmath,amssymb,latexsym,mathtools,algorithm,listings,hyperref} +\hypersetup{breaklinks=true} % uncomment to label only equations that are referenced in the text @@ -680,7 +681,7 @@ proportional to their size, or \] \begin{figure*} - \input{fig_clusters_ising2d} + \input{fig_cluster-scaling} \caption{Collapses of rescaled average Wolff cluster size $\avg s_{\text{\sc 1c}}L^{-\gamma/\nu}$ as a function of field scaling variable $hL^{\beta\delta/\nu}$ for a variety of models. Critical exponents -- cgit v1.2.3-54-g00ecf