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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2018-09-24 18:05:19 -0400 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2018-09-24 18:05:19 -0400 |
commit | a5e04f76b0dac4fdd6be00018aa0f54e7202c92d (patch) | |
tree | 32e1170c4079fc97ece830ec54264d2ad1249f9c | |
parent | 975e4834c0b54cd06aaf28157789a7d4130adc1a (diff) | |
parent | 2062625bdcad4341c456d687ff3542285f143e78 (diff) | |
download | PRE_98_063306-a5e04f76b0dac4fdd6be00018aa0f54e7202c92d.tar.gz PRE_98_063306-a5e04f76b0dac4fdd6be00018aa0f54e7202c92d.tar.bz2 PRE_98_063306-a5e04f76b0dac4fdd6be00018aa0f54e7202c92d.zip |
merged with figure changes
42 files changed, 1623 insertions, 24924 deletions
diff --git a/autocorrelation.dat b/autocorrelation.dat deleted file mode 100644 index d0c5af8..0000000 --- a/autocorrelation.dat +++ /dev/null @@ -1,116 +0,0 @@ -8 2.26918531421 0.00001 0.5835715978146659 0.008059628784399241 -8 2.26918531421 0.0000199526 0.5979372866399293 0.017582187632587308 -8 2.26918531421 0.0000398107 0.5987469923907364 0.008022536710880412 -8 2.26918531421 0.0000794328 0.5995324176401251 0.010557777737766708 -8 2.26918531421 0.000158489 0.5963590738516894 0.018758421096600388 -8 2.26918531421 0.000316228 0.6011738564211453 0.015983794153316164 -8 2.26918531421 0.000630957 0.5885273274822854 0.00966041359163772 -8 2.26918531421 0.00125893 0.5877121783760592 0.0037256678303949917 -8 2.26918531421 0.00251189 0.6002230748861445 0.008709440649627226 -8 2.26918531421 0.00501187 0.5967606850391091 0.0073188295837380716 -8 2.26918531421 0.01 0.5908463410185686 0.010002813333939507 -8 2.26918531421 0.0199526 0.583059515956994 0.008367026625716622 -8 2.26918531421 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\ No newline at end of file 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 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\ No newline at end of file diff --git a/data/correlation-times/ising-2d.dat b/data/correlation-times/ising-2d.dat new file mode 100644 index 0000000..fe01d16 --- /dev/null +++ b/data/correlation-times/ising-2d.dat @@ -0,0 +1,137 @@ +L T H S dS t dt + +4 2.26918531421 0.000000316228 12.18179776245832 0.0002539084190636975 1.544436709567285 0.0003406937783426817 +4 2.26918531421 0.000001 12.18167960800216 0.0002538868048864218 1.543982279527079 0.0003405935337121111 +4 2.26918531421 0.00000316228 12.18195943858701 0.0002538530612600697 1.543837026067285 0.0003405614916415438 +4 2.26918531421 0.00001 12.18161551230062 0.0002538942436499091 1.544189537166312 0.0003406392535449557 +4 2.26918531421 0.0000316228 12.1818558565378 0.0002538680037408753 1.544268129309128 0.0003406565905157221 +4 2.26918531421 0.0001 12.18170644318284 0.0002538906437823383 1.544190240974809 0.0003406394088010272 +4 2.26918531421 0.000316228 12.18171469225917 0.0002539045324798343 1.54394362096617 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\ No newline at end of file diff --git a/data/correlation-times/planar-uni.dat b/data/correlation-times/planar-uni.dat new file mode 100644 index 0000000..0a550ea --- /dev/null +++ b/data/correlation-times/planar-uni.dat @@ -0,0 +1,46 @@ +L T H S dS t dt + +32 2.20167 0.000000316228 993.075368686869 2.70833604631552 95.5253879432947 3.756546837992164 +32 2.20167 0.000001 998.709438888889 2.713010062057418 90.1544047125537 3.44431827793402 +32 2.20167 0.00000316228 986.756372727273 2.699327167598657 94.0484145216766 3.669361563517301 +32 2.20167 0.00001 990.642833333333 2.697844470685069 94.3206193672455 3.684862431590177 +32 2.20167 0.0000316228 992.864322727273 2.705735333086903 96.9900827058168 3.841452436084912 +32 2.20167 0.0001 995.27815050505 2.710335338768696 95.2081906374976 3.736729290937231 +32 2.20167 0.000316228 1028.73328989899 2.76800558367237 94.0334770807195 3.668778769304511 +32 2.20167 0.001 1241.10235 3.067649723880848 77.09872075912671 2.723096636208146 +32 2.20167 0.00316228 1754.573114141414 3.721949495232576 48.25540848438315 1.350141386982977 +32 2.20167 0.01 2648.53095 4.81563328499929 29.73102836046003 0.65260669284894 +32 2.20167 0.0316228 4117.933507575757 6.401321473300655 17.62381866297102 0.2990231748655497 +32 2.20167 0.1 6405.37532929293 8.38880551940286 10.92487537806663 0.1460782399279828 +32 2.20167 0.316228 9748.94550707071 10.62083205391493 7.353057191858073 0.0806164792408691 +32 2.20167 1. 14162.21016010101 12.55805317227685 5.670139994616898 0.05495632189390588 +32 2.20167 3.16228 19081.41949393939 13.48645910541657 5.69357813122603 0.05518348979122547 +32 2.20167 10. 23461.21708989899 12.88747500877046 7.699133215837194 0.0865125759200602 +32 2.20167 31.6228 26972.42642424243 11.13047220800738 12.52465781225323 0.179347897974377 +32 2.20167 100.00000000000000 29353.23583535354 9.01163639238713 21.01168718740078 0.3888151497629597 +32 2.20167 316.22800000000001 30821.60343686868 7.02648681801569 37.60809204282586 0.928158956487183 +32 2.20167 1000.00000000000000 31664.2309449495 5.378270825415727 64.08917839629956 2.06420263735325 + +64 2.20167 0.000000316228 3973.546162626262 18.19754330092059 232.33116418376 20.1380752029682 +64 2.20167 0.000001 3920.197016161616 18.09054297803552 213.0752228279178 17.68769380672245 +64 2.20167 0.00000316228 3919.293571717172 18.02208081405628 230.943436976857 19.95849321212264 +64 2.20167 0.00001 3960.70404040404 18.18401120994587 229.0586940454887 19.71512957765083 +64 2.20167 0.0000316228 3968.048231313131 18.1686819560461 228.0752928745031 19.58761495380936 +64 2.20167 0.0001 4412.169755555555 19.4330160196433 195.9883498966197 15.60216679118265 +64 2.20167 0.000316228 5804.406763636363 22.74300235279491 136.7639809686012 9.09892998486856 +64 2.20167 0.001 8522.21 29.1028633061055 83.5356480851777 4.344697412916643 +64 2.20167 0.00316228 13101.08960642478 47.72019801103096 51.20804598810985 2.554776162013085 +64 2.20167 1000.00000000000000 253206.6929538769 137.4797167929302 65.6924655205904 6.812582686600248 + +128 2.20167 0.000000316228 15862.23650592593 51.89212873987747 608.6420629230505 51.70075084314452 +128 2.20167 0.000001 15902.48106703704 51.93224937343278 471.2761590315787 35.22740397825577 +128 2.20167 0.00000316228 16142.33786055556 64.33946131399027 438.1081876322346 38.67337144004507 +128 2.20167 0.00001 16758.56429888889 65.86272300478814 483.8062101413496 44.87503637120225 +128 2.20167 0.0000316228 19790.67060367172 101.9111229334768 468.0440186487341 59.33914355196353 +128 2.20167 0.0001 27793.45164222222 129.0347220491268 240.6181043092439 22.25916164635795 +128 2.20167 0.000316228 41644.02128777778 171.0334340736597 147.4165520360514 10.67795252963592 +128 2.20167 0.001 64665.43770111111 233.5128027846377 92.9452254905485 5.346482841369636 +128 2.20167 0.00316228 104110.7403344444 325.2324390190227 49.48792631777573 2.077445277807574 +128 2.20167 0.01 165062.8145477778 446.2178882524903 30.67748636285037 1.015399568407143 +128 2.20167 0.0316228 261905.5762471099 666.2957643544338 18.10845394354681 0.5100727809203418 +128 2.20167 1000.00000000000000 2028222.176215166 963.459846647739 81.7320504053922 8.37755212647295
\ No newline at end of file diff --git a/data/correlation-times/planar.dat b/data/correlation-times/planar.dat new file mode 100644 index 0000000..2d45dc5 --- /dev/null +++ b/data/correlation-times/planar.dat @@ -0,0 +1,107 @@ +L T H S dS t dt + +4 2.20167 0.000000316228 7.918118851885188 0.002067346434955772 15.8125665679289 0.03571158866851145 +4 2.20167 0.000001 7.920212691269127 0.002068139168659977 15.89900319558174 0.03604733577496506 +4 2.20167 0.00000316228 7.918213351335133 0.002067794269667984 15.81921250766383 0.03572659806405199 +4 2.20167 0.00001 7.918217231723172 0.002066861643415555 15.82070580744738 0.03572997057839999 +4 2.20167 0.0000316228 7.917112831283128 0.002067330052369148 15.88987503349859 0.03602663976531137 +4 2.20167 0.0001 7.919124912491249 0.00206731491043565 15.76684703064549 0.03560833425357723 +4 2.20167 0.000316228 7.92127603760376 0.002067964130216524 15.76561074216994 0.03560554218150437 +4 2.20167 0.001 7.922137463746374 0.002068361420050356 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R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 1 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 7 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 12 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 48 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 42 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 22 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 31 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 30 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 38 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 34 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 24 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 21 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 23 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 2 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 1 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -13 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 -12 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -3 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -9 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 -6 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -19 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -3 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -12 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 -6 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -12 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -.1181 g 4800 2785 M -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -1 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -38 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -stroke 4957 2775 M -32 1 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 40 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 28 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 23 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 47 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 28 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 33 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 36 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 36 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 18 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 44 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 22 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 22 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 17 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 11 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 -4 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 1 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -15 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -11 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 -1 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -20 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -9 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 -11 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -1 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -.2441 g 4918 2751 M -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 9 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 34 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 32 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 38 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 27 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 42 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 42 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 25 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 46 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 24 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 24 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 39 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 37 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 23 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 18 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 28 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -4 R -0 9 V --31 -9 R -62 0 V -stroke 6025 3398 M --62 9 R -62 0 V -32 4 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -9 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 -10 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -10 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -2 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 -19 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -4 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -.4961 g 5037 2821 M -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -1 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 47 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 64 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 24 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 31 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 22 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 44 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 39 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 40 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 29 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 29 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 30 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 31 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 36 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 28 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 8 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 9 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 -7 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 3 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 -12 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -33 -12 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 -6 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -1 g 5155 2894 M -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 23 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 32 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 46 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 35 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 30 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 51 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 24 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -32 41 R -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -33 33 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 29 R -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -32 41 R -0 10 V -stroke 5851 3394 M 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40 V -63 40 V -63 29 V -64 27 V -63 26 V -63 -9 V -64 6 V -63 10 V -63 -6 V -7 -1 V -stroke -LTw -% End plot #2 -% Begin plot #3 -1.000 UL -LTb -LCb setrgbcolor -[] 0 setdash -4320 2467 M -4 3 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -26 20 V -27 19 V -26 20 V -26 19 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -26 20 V -27 19 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -26 19 V -27 20 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -26 19 V -27 20 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -26 19 V -26 20 V -26 19 V -27 20 V -26 19 V -26 20 V -26 19 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -27 20 V -26 19 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -27 20 V -26 19 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -26 20 V -26 19 V -27 19 V -3 3 V -stroke -LTw -% End plot #3 -2.000 UL -LTb -1.000 UL -LTb -3906 3833 N -0 -1366 V -2585 0 V -0 1366 V --2585 0 V -Z stroke -1.000 UP -1.000 UL -LTb -grestore % colour palette end -gsave % colour palette begin -/maxcolors 0 def -/HSV2RGB { exch dup 0.0 eq {pop exch pop dup dup} % achromatic gray - { /HSVs exch def /HSVv exch def 6.0 mul dup floor dup 3 1 roll sub - /HSVf exch def /HSVi exch cvi def /HSVp HSVv 1.0 HSVs sub mul def - /HSVq HSVv 1.0 HSVs HSVf mul sub mul def - /HSVt HSVv 1.0 HSVs 1.0 HSVf sub mul sub mul def - /HSVi HSVi 6 mod def 0 HSVi eq {HSVv HSVt HSVp} - {1 HSVi eq {HSVq HSVv HSVp}{2 HSVi eq {HSVp HSVv HSVt} - {3 HSVi eq {HSVp HSVq HSVv}{4 HSVi eq {HSVt HSVp HSVv} - {HSVv HSVp HSVq} ifelse} ifelse} ifelse} ifelse} ifelse - } 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 - -0.9844 mul add Constrain 5 1 roll -0.2891 mul exch -0.5338 mul add - exch 1.91 mul exch add Constrain 3 1 roll} def -/SelectSpace {ColorSpace (HSV) eq {HSV2RGB}{ColorSpace (XYZ) eq { - XYZ2RGB}{ColorSpace (CMY) eq {CMY2RGB}{ColorSpace (YIQ) eq {YIQ2RGB} - if} ifelse} ifelse} ifelse} def -/InterpolatedColor true def -/grayindex {/gidx 0 def - {GrayA gidx get grayv ge {exit} if /gidx gidx 1 add def} loop} def -/dgdx {grayv GrayA gidx get sub GrayA gidx 1 sub get - GrayA gidx get sub div} def -/redvalue {RedA gidx get RedA gidx 1 sub get - RedA gidx get sub dgdxval mul add} def -/greenvalue {GreenA gidx get GreenA gidx 1 sub get - GreenA gidx get sub dgdxval mul add} def -/bluevalue {BlueA gidx get BlueA gidx 1 sub get - BlueA gidx get sub dgdxval mul add} def -/interpolate { - grayindex grayv GrayA gidx get sub abs 1e-5 le - {RedA gidx get GreenA gidx get BlueA gidx get} - {/dgdxval dgdx def 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R -62 0 V --62 14 R -62 0 V -33 1 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -8 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 -28 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 -10 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 -19 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -.0236 g 4573 884 M -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 57 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 -7 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -70 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 21 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -59 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -2 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 45 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -33 36 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 61 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 10 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 64 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 23 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 34 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 53 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 27 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 0 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 34 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -10 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 -16 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 -11 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -31 R -0 14 V -stroke 5902 1445 M --31 -14 R -62 0 V --62 14 R -62 0 V -33 -5 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 -17 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 3 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -9 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 -20 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 -17 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -4 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -27 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -33 -5 R -0 14 V --31 -14 R -50 0 V --50 14 R -50 0 V -.0551 g 4692 882 M -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 3 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 123 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 -104 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 -78 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 56 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 85 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -15 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 49 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 46 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 42 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -33 55 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 61 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 26 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 34 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -33 25 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 13 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 32 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -23 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 -19 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -3 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -6 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 -10 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -27 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -10 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -14 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 -21 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -15 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 1 R -0 14 V --31 -14 R -58 0 V --58 14 R -58 0 V -.1181 g 4811 830 M -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 11 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 99 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -stroke 4969 981 M -32 0 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 44 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -107 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 152 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 47 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 50 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 61 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 35 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -33 43 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 36 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 55 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 23 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 33 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 20 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 5 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 -9 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -4 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -22 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -3 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -33 0 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -36 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -12 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 -13 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 -17 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -.2441 g 4931 921 M -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 135 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -256 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 241 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 6 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 46 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 64 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 43 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 32 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 50 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 48 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 51 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 40 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 52 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 30 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 31 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 2 R -0 14 V --31 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--31 -14 R -62 0 V --62 14 R -62 0 V -32 43 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -33 44 R -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -32 36 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 48 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 34 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 16 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 31 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 4 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 6 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -8 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 -25 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 1 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 -30 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -1 g 5169 1155 M -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 28 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 11 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -33 50 R -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -32 55 R -0 13 V --31 -13 R -62 0 V 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-/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def -/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill - 2 copy vpt Square fill Bsquare} bind def -/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill - 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def -/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def -/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def -/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def -/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def -/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def -/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def -/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def -/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def -/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def -/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def -/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def -/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def -/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def -/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def -/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def -/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def -/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def -/DiaE {stroke [] 0 setdash vpt add M - hpt neg vpt neg V hpt vpt neg V - hpt vpt V hpt neg vpt V closepath stroke} def -/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M - 0 vpt2 neg V hpt2 0 V 0 vpt2 V - hpt2 neg 0 V closepath stroke} def -/TriUE {stroke [] 0 setdash vpt 1.12 mul add M - hpt neg vpt -1.62 mul V - hpt 2 mul 0 V - hpt neg vpt 1.62 mul V closepath stroke} def -/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M - hpt neg vpt 1.62 mul V - hpt 2 mul 0 V - hpt neg vpt -1.62 mul V closepath stroke} def -/PentE {stroke [] 0 setdash gsave - translate 0 hpt M 4 {72 rotate 0 hpt L} repeat - closepath stroke grestore} def -/CircE {stroke [] 0 setdash - hpt 0 360 arc stroke} def -/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def -/DiaW {stroke [] 0 setdash vpt add M - hpt neg vpt neg V hpt vpt neg V - hpt vpt V hpt neg vpt V Opaque stroke} def -/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M - 0 vpt2 neg V hpt2 0 V 0 vpt2 V - hpt2 neg 0 V Opaque stroke} def -/TriUW {stroke [] 0 setdash vpt 1.12 mul add M - hpt neg vpt -1.62 mul V - hpt 2 mul 0 V - hpt neg vpt 1.62 mul V Opaque stroke} def -/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M - hpt neg vpt 1.62 mul V - hpt 2 mul 0 V - hpt neg vpt -1.62 mul V Opaque stroke} def -/PentW {stroke [] 0 setdash gsave - translate 0 hpt M 4 {72 rotate 0 hpt L} repeat - Opaque stroke grestore} def -/CircW {stroke [] 0 setdash - hpt 0 360 arc Opaque stroke} def -/BoxFill {gsave Rec 1 setgray fill grestore} def -/Density { - /Fillden exch def - currentrgbcolor - /ColB exch def /ColG exch def /ColR exch def - /ColR ColR Fillden mul Fillden sub 1 add def - /ColG ColG Fillden mul Fillden sub 1 add def - /ColB ColB Fillden mul Fillden sub 1 add def - 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 -% -% PostScript Level 1 Pattern Fill routine for rectangles -% Usage: x y w h s a XX PatternFill -% x,y = lower left corner of box to be filled -% w,h = width and height of box -% a = angle in degrees between lines and x-axis -% XX = 0/1 for no/yes cross-hatch -% -/PatternFill {gsave /PFa [ 9 2 roll ] def - PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate - PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec - TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse - clip - currentlinewidth 0.5 mul setlinewidth - /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def - 0 0 M PFa 5 get rotate PFs -2 div dup translate - 0 1 PFs PFa 4 get div 1 add floor cvi - {PFa 4 get mul 0 M 0 PFs V} for - 0 PFa 6 get ne { - 0 1 PFs PFa 4 get div 1 add floor cvi - {PFa 4 get mul 0 2 1 roll M PFs 0 V} for - } if - stroke grestore} def -% -/languagelevel where - {pop languagelevel} {1} ifelse -dup 2 lt - {/InterpretLevel1 true def - /InterpretLevel3 false def} - {/InterpretLevel1 Level1 def - 2 gt - {/InterpretLevel3 Level3 def} - {/InterpretLevel3 false def} - ifelse } - ifelse -% -% PostScript level 2 pattern fill definitions -% -/Level2PatternFill { -/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} - bind def -/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def -<< Tile8x8 - /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} ->> matrix makepattern -/Pat1 exch def -<< Tile8x8 - /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke - 0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke} ->> matrix makepattern -/Pat2 exch def -<< Tile8x8 - /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L - 8 8 L 8 0 L 0 0 L fill} ->> matrix makepattern -/Pat3 exch def -<< Tile8x8 - /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L - 0 12 M 12 0 L stroke} ->> matrix makepattern -/Pat4 exch def -<< Tile8x8 - /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L - 0 -4 M 12 8 L stroke} ->> matrix makepattern -/Pat5 exch def -<< Tile8x8 - /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L - 0 12 M 8 -4 L 4 12 M 10 0 L stroke} ->> matrix makepattern -/Pat6 exch def -<< Tile8x8 - /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L - 0 -4 M 8 12 L 4 -4 M 10 8 L stroke} ->> matrix makepattern -/Pat7 exch def -<< Tile8x8 - /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L - 12 0 M -4 8 L 12 4 M 0 10 L stroke} ->> matrix makepattern -/Pat8 exch def -<< Tile8x8 - /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L - -4 0 M 12 8 L -4 4 M 8 10 L stroke} ->> matrix makepattern -/Pat9 exch def -/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def -/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def -/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def -/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def -/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def -/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def -/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def -} def -% -% -%End of PostScript Level 2 code -% -/PatternBgnd { - TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse -} def -% -% Substitute for Level 2 pattern fill codes with -% grayscale if Level 2 support is not selected. -% -/Level1PatternFill { -/Pattern1 {0.250 Density} bind def -/Pattern2 {0.500 Density} bind def -/Pattern3 {0.750 Density} bind def -/Pattern4 {0.125 Density} bind def -/Pattern5 {0.375 Density} bind def -/Pattern6 {0.625 Density} bind def -/Pattern7 {0.875 Density} bind def -} def -% -% Now test for support of Level 2 code -% -Level1 {Level1PatternFill} {Level2PatternFill} ifelse -% -/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont -dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall -currentdict end definefont pop -% -Level1 SuppressPDFMark or -{} { -/SDict 10 dict def -systemdict /pdfmark known not { - userdict /pdfmark systemdict /cleartomark get put -} if -SDict begin [ - /Title () - /Subject (gnuplot plot) - /Creator (gnuplot 5.2 patchlevel 2) -% /Producer (gnuplot) -% /Keywords () - /CreationDate (Thu May 10 20:47:25 2018) - /DOCINFO pdfmark -end -} ifelse -% -% Support for boxed text - Ethan A Merritt Sep 2016 -% -/InitTextBox { userdict /TBy2 3 -1 roll put userdict /TBx2 3 -1 roll put - userdict /TBy1 3 -1 roll put userdict /TBx1 3 -1 roll put - /Boxing true def } def -/ExtendTextBox { dup type /stringtype eq - { Boxing { gsave dup false charpath pathbbox - dup TBy2 gt {userdict /TBy2 3 -1 roll put} {pop} ifelse - 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V --62 13 R -62 0 V -.3333 g 3217 1930 M -0 32 V --31 -32 R -62 0 V --62 32 R -62 0 V -.7778 g 3570 1642 M -0 2 V --31 -2 R -62 0 V --62 2 R -62 0 V -.2222 g 3154 1961 M -0 31 V --31 -31 R -62 0 V --62 31 R -62 0 V -.6667 g 3436 1751 M -0 3 V --31 -3 R -62 0 V --62 3 R -62 0 V -.5556 g 3332 1823 M -0 33 V --31 -33 R -62 0 V --62 33 R -62 0 V -.4444 g 3246 1896 M -0 4 V --31 -4 R -62 0 V -stroke 3277 1896 M --62 4 R -62 0 V -.1111 g 3099 2023 M -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -0 g 3049 2041 M -0 3 V --31 -3 R -62 0 V --62 3 R -62 0 V -.3333 g 3174 1967 M -0 71 V --31 -71 R -62 0 V --62 71 R -62 0 V -.2222 g 3111 2002 M -0 23 V --31 -23 R -62 0 V --62 23 R -62 0 V -.1111 g 3056 2063 M -0 27 V --31 -27 R -62 0 V --62 27 R -62 0 V -0 g 3006 2082 M -0 429 V --31 -429 R -62 0 V --62 429 R -62 0 V -1 g 4037 1281 M -0 8 V --31 -8 R -62 0 V --62 8 R -62 0 V -.8889 g 3716 1516 M -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -1 g 3994 1318 M -0 3 V --31 -3 R -62 0 V --62 3 R -62 0 V 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R -62 0 V -.6667 g 3179 1996 M -0 15 V --31 -15 R -62 0 V --62 15 R -62 0 V -.8889 g 3502 1730 M -0 96 V --31 -96 R -62 0 V --62 96 R -62 0 V -0 g 2792 2248 M -0 24 V --31 -24 R -62 0 V --62 24 R -62 0 V -1 g 3823 1470 M -0 6 V --31 -6 R -62 0 V --62 6 R -62 0 V -.5556 g 3075 2071 M -0 17 V --31 -17 R -62 0 V --62 17 R -62 0 V -.3333 g 2918 2181 M -0 44 V --31 -44 R -62 0 V --62 44 R -62 0 V -.2222 g 2855 2229 M -0 50 V --31 -50 R -62 0 V --62 50 R -62 0 V -.4444 g 2990 2143 M -0 6 V --31 -6 R -62 0 V --62 6 R -62 0 V -.1111 g 2799 2241 M -0 19 V --31 -19 R -62 0 V --62 19 R -62 0 V -.6667 g 3137 2033 M -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -.7778 g 3271 1926 M -0 2 V --31 -2 R -62 0 V --62 2 R -62 0 V -.8889 g 3459 1780 M -0 7 V --31 -7 R -62 0 V --62 7 R -62 0 V -.5556 g 3032 2104 M -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -.4444 g 2947 2171 M -0 6 V --31 -6 R -62 0 V --62 6 R -62 0 V -0 g 2750 2275 M -0 8 V --31 -8 R -62 0 V --62 8 R -62 0 V -.3333 g 2875 2209 M -0 12 V 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15 R -62 0 V -.7778 g 3185 2001 M -0 4 V --31 -4 R -62 0 V --62 4 R -62 0 V -.4444 g 2862 2243 M -0 7 V --31 -7 R -62 0 V --62 7 R -62 0 V -0 g 2664 2330 M -0 21 V --31 -21 R -62 0 V --62 21 R -62 0 V -.2222 g 2727 2302 M -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -.3333 g 2789 2271 M -0 2 V --31 -2 R -62 0 V --62 2 R -62 0 V -.8889 g 3374 1844 M -0 5 V --31 -5 R -62 0 V --62 5 R -62 0 V -.1111 g 2671 2330 M -0 31 V --31 -31 R -62 0 V --62 31 R -62 0 V -1 g 3695 1573 M -0 2 V --31 -2 R -62 0 V --62 2 R -62 0 V -0 g 2621 2349 M -0 2 V --31 -2 R -62 0 V --62 2 R -62 0 V -.7778 g 3142 2046 M -0 23 V --31 -23 R -62 0 V --62 23 R -62 0 V -.5556 g 2904 2207 M -0 26 V --31 -26 R -62 0 V --62 26 R -62 0 V -.4444 g 2819 2281 M -0 22 V --31 -22 R -62 0 V --62 22 R -62 0 V -1 g 3652 1599 M -0 26 V --31 -26 R -62 0 V --62 26 R -62 0 V -.6667 g 3008 2139 M -0 19 V --31 -19 R -62 0 V --62 19 R -62 0 V -.8889 g 3331 1885 M -0 2 V --31 -2 R -62 0 V --62 2 R -62 0 V -.2222 g 2684 2337 M -0 12 V --31 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2923 2206 M -0 4 V --31 -4 R -62 0 V --62 4 R -62 0 V -.7778 g 3057 2145 M -0 12 V --31 -12 R -62 0 V --62 12 R -62 0 V -.3333 g 2661 2342 M -0 8 V --31 -8 R -62 0 V --62 8 R -62 0 V -.2222 g 2598 2367 M -0 13 V --31 -13 R -62 0 V --62 13 R -62 0 V -.1111 g 2543 2380 M -0 8 V --31 -8 R -62 0 V --62 8 R -62 0 V -1 g 3567 1689 M -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -.8889 g 3245 1993 M -0 5 V --31 -5 R -62 0 V -stroke 3276 1993 M --62 5 R -62 0 V -0 g 2493 2410 M -0 2 V --31 -2 R -62 0 V --62 2 R -62 0 V -.5556 g 2776 2295 M -0 30 V --31 -30 R -62 0 V --62 30 R -62 0 V -.6667 g 2880 2247 M -0 4 V --31 -4 R -62 0 V --62 4 R -62 0 V -.4444 g 2691 2348 M -0 67 V --31 -67 R -62 0 V --62 67 R -62 0 V -.7778 g 3014 2151 M -0 4 V --31 -4 R -62 0 V --62 4 R -62 0 V -1 g 3524 1723 M -0 25 V --31 -25 R -62 0 V --62 25 R -62 0 V -.8889 g 3203 2005 M -0 8 V --31 -8 R -62 0 V --62 8 R -62 0 V -.3333 g 2618 2352 M -0 24 V --31 -24 R -62 0 V --62 24 R -62 0 V -.2222 g 2556 2391 M -0 3 V --31 -3 R -62 0 V --62 3 R -62 0 V -.1111 g 2500 2435 M -0 11 V --31 -11 R -62 0 V --62 11 R -62 0 V -.5556 g 2733 2354 M -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -0 g 2450 2415 M -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -.4444 g 2648 2351 M -0 14 V --31 -14 R -62 0 V --62 14 R -62 0 V -.3333 g 2576 2411 M -0 4 V --31 -4 R -62 0 V --62 4 R -62 0 V -.6667 g 2837 2274 M -0 3 V --31 -3 R -62 0 V --62 3 R -62 0 V -1 g 3482 1763 M -0 9 V --31 -9 R -62 0 V --62 9 R -62 0 V -.7778 g 2971 2194 M -0 29 V --31 -29 R -62 0 V --62 29 R -62 0 V -.2222 g 2513 2409 M -0 1 V --31 -1 R -62 0 V --62 1 R -62 0 V -.1111 g 2457 2402 M -0 23 V --31 -23 R -62 0 V --62 23 R -62 0 V -.8889 g 3160 2036 M -0 1 V --31 -1 R -62 0 V --62 1 R -62 0 V -0 g 2408 2431 M -0 8 V --31 -8 R -62 0 V --62 8 R -62 0 V -.6667 g 2795 2300 M -0 11 V --31 -11 R -62 0 V --62 11 R -62 0 V -1 g 3439 1809 M -0 1 V --31 -1 R -62 0 V --62 1 R -62 0 V -.8889 g 3117 2067 M -0 73 V --31 -73 R -62 0 V --62 73 R -62 0 V -.7778 g 2929 2217 M -0 11 V --31 -11 R -62 0 V --62 11 R -62 0 V -.5556 g 2690 2351 M -0 4 V --31 -4 R -62 0 V --62 4 R -62 0 V -.4444 g 2605 2375 M -0 8 V --31 -8 R -62 0 V --62 8 R -62 0 V -.3333 g 2533 2412 M -0 1 V --31 -1 R -62 0 V --62 1 R -62 0 V -.2222 g 2470 2414 M -0 35 V --31 -35 R -62 0 V --62 35 R -62 0 V -0 g 2365 2458 M -0 23 V --31 -23 R -62 0 V --62 23 R -62 0 V -.1111 g 2415 2433 M -0 8 V --31 -8 R -62 0 V --62 8 R -62 0 V -.3333 g 2490 2415 M -0 8 V --31 -8 R -62 0 V --62 8 R -62 0 V -.5556 g 2648 2361 M -0 41 V --31 -41 R -62 0 V --62 41 R -62 0 V -.4444 g 2562 2396 M -0 50 V --31 -50 R -62 0 V --62 50 R -62 0 V -.6667 g 2752 2329 M -0 11 V --31 -11 R -62 0 V --62 11 R -62 0 V -1 g 3396 1847 M -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -.7778 g 2886 2239 M -0 4 V --31 -4 R -62 0 V --62 4 R -62 0 V -.8889 g 3074 2102 M -0 10 V --31 -10 R -62 0 V --62 10 R -62 0 V -.2222 g 2427 2443 M -0 11 V --31 -11 R -62 0 V --62 11 R -62 0 V -.1111 g 2372 2430 M -0 13 V --31 -13 R -62 0 V --62 13 R 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exch vpt2 Square} bind def -/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def -/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def -/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def -/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def -/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def -/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill - exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def -/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def -/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill - 2 copy vpt Square fill Bsquare} bind def -/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def -/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def -/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill - Bsquare} bind def -/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill - Bsquare} bind def -/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def -/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill - 2 copy vpt Square fill Bsquare} bind def -/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill - 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def -/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def -/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def -/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def -/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def -/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def -/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def -/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def -/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def -/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def -/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def -/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def -/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def -/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def -/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def -/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def -/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def -/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def -/DiaE {stroke [] 0 setdash vpt add M - hpt neg vpt neg V hpt vpt neg V - hpt vpt V hpt neg vpt V closepath stroke} def -/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M - 0 vpt2 neg V hpt2 0 V 0 vpt2 V - hpt2 neg 0 V closepath stroke} def -/TriUE {stroke [] 0 setdash vpt 1.12 mul add M - hpt neg vpt -1.62 mul V - hpt 2 mul 0 V - hpt neg vpt 1.62 mul V closepath stroke} def -/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M - hpt neg vpt 1.62 mul V - hpt 2 mul 0 V - hpt neg vpt -1.62 mul V closepath stroke} def -/PentE {stroke [] 0 setdash gsave - translate 0 hpt M 4 {72 rotate 0 hpt L} repeat - closepath stroke grestore} def -/CircE {stroke [] 0 setdash - hpt 0 360 arc stroke} def -/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def -/DiaW {stroke [] 0 setdash vpt add M - hpt neg vpt neg V hpt vpt neg V - hpt vpt V hpt neg vpt V Opaque stroke} def -/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M - 0 vpt2 neg V hpt2 0 V 0 vpt2 V - hpt2 neg 0 V Opaque stroke} def -/TriUW {stroke [] 0 setdash vpt 1.12 mul add M - hpt neg vpt -1.62 mul V - hpt 2 mul 0 V - hpt neg vpt 1.62 mul V Opaque stroke} def -/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M - hpt neg vpt 1.62 mul V - hpt 2 mul 0 V - hpt neg vpt -1.62 mul V Opaque stroke} def -/PentW {stroke [] 0 setdash gsave - translate 0 hpt M 4 {72 rotate 0 hpt L} repeat - Opaque stroke grestore} def -/CircW {stroke [] 0 setdash - hpt 0 360 arc Opaque stroke} def -/BoxFill {gsave Rec 1 setgray fill grestore} def -/Density { - /Fillden exch def - currentrgbcolor - /ColB exch def /ColG exch def /ColR exch def - /ColR ColR Fillden mul Fillden sub 1 add def - /ColG ColG Fillden mul Fillden sub 1 add def - /ColB ColB Fillden mul Fillden sub 1 add def - 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 -% -% PostScript Level 1 Pattern Fill routine for rectangles -% Usage: x y w h s a XX PatternFill -% x,y = lower left corner of box to be filled -% w,h = width and height of box -% a = angle in degrees between lines and x-axis -% XX = 0/1 for no/yes cross-hatch -% -/PatternFill {gsave /PFa [ 9 2 roll ] def - PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate - PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec - TransparentPatterns {} {gsave 1 setgray fill 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{gsave closepath 1 setgray fill grestore 0 setgray closepath} def -/DiaW {stroke [] 0 setdash vpt add M - hpt neg vpt neg V hpt vpt neg V - hpt vpt V hpt neg vpt V Opaque stroke} def -/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M - 0 vpt2 neg V hpt2 0 V 0 vpt2 V - hpt2 neg 0 V Opaque stroke} def -/TriUW {stroke [] 0 setdash vpt 1.12 mul add M - hpt neg vpt -1.62 mul V - hpt 2 mul 0 V - hpt neg vpt 1.62 mul V Opaque stroke} def -/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M - hpt neg vpt 1.62 mul V - hpt 2 mul 0 V - hpt neg vpt -1.62 mul V Opaque stroke} def -/PentW {stroke [] 0 setdash gsave - translate 0 hpt M 4 {72 rotate 0 hpt L} repeat - Opaque stroke grestore} def -/CircW {stroke [] 0 setdash - hpt 0 360 arc Opaque stroke} def -/BoxFill {gsave Rec 1 setgray fill grestore} def -/Density { - /Fillden exch def - currentrgbcolor - /ColB exch def /ColG exch def /ColR exch def - /ColR ColR Fillden mul Fillden sub 1 add def - /ColG ColG Fillden mul Fillden sub 1 add def - /ColB ColB Fillden mul Fillden sub 1 add def - 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 -% -% PostScript Level 1 Pattern Fill routine for rectangles -% Usage: x y w h s a XX PatternFill -% x,y = lower left corner of box to be filled -% w,h = width and height of box -% a = angle in degrees between lines and x-axis -% XX = 0/1 for no/yes cross-hatch -% -/PatternFill {gsave /PFa [ 9 2 roll ] def - PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate - PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec - TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse - clip - currentlinewidth 0.5 mul setlinewidth - /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def - 0 0 M PFa 5 get rotate PFs -2 div dup translate - 0 1 PFs PFa 4 get div 1 add floor cvi - {PFa 4 get mul 0 M 0 PFs V} for - 0 PFa 6 get ne { - 0 1 PFs PFa 4 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+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: ${DOC}.pdf diff --git a/monte-carlo.tex b/monte-carlo.tex index d202ef5..370ac0f 100644 --- a/monte-carlo.tex +++ b/monte-carlo.tex @@ -534,6 +534,14 @@ conjecture. \label{fig:cluster_scaling} \end{figure*} +\begin{figure} + \include{fig_generator-times} +\end{figure} + +\begin{figure} + \include{fig_harmonic-susceptibilities} +\end{figure} + We have taken several disparate extensions of cluster methods to spin models in an external field and generalized them to work for any model of a broad class. The resulting representation involves the introduction of not a ghost @@ -552,6 +560,7 @@ perturbations on spin models can be tested numerically \cite{jose_renormalization_1977, blankschtein_fluctuation-induced_1982, bruce_coupled_1975, manuel_carmona_$n$-component_2000}. +<<<<<<< HEAD \appendix \section{$\mathrm O(n)$ model at high field} @@ -620,6 +629,9 @@ whence \end{align} \section{Calculating autocorrelation time} +\begin{figure*} + \include{fig_correlation-times} +\end{figure*} \begin{acknowledgments} This work was supported by NSF grant NSF DMR-1719490. diff --git a/refs/alexandrowicz1989swendsen.pdf b/refs/alexandrowicz1989swendsen.pdf Binary files differdeleted file mode 100644 index 08c1c5e..0000000 --- a/refs/alexandrowicz1989swendsen.pdf +++ /dev/null diff --git a/refs/baillie1991comparison.pdf b/refs/baillie1991comparison.pdf Binary files differdeleted file mode 100644 index f91c8b5..0000000 --- a/refs/baillie1991comparison.pdf +++ /dev/null diff --git a/refs/coniglio1980clusters.pdf b/refs/coniglio1980clusters.pdf Binary files differdeleted file mode 100644 index 9ab9c4a..0000000 --- a/refs/coniglio1980clusters.pdf +++ /dev/null diff --git a/refs/coniglio1989exact.pdf b/refs/coniglio1989exact.pdf Binary files differdeleted file mode 100644 index 1b145fa..0000000 --- a/refs/coniglio1989exact.pdf +++ /dev/null diff --git a/refs/destri1992swendsen.pdf b/refs/destri1992swendsen.pdf Binary files differdeleted file mode 100644 index 591c8f6..0000000 --- a/refs/destri1992swendsen.pdf +++ /dev/null diff --git a/refs/dotsenko1991cluster.pdf b/refs/dotsenko1991cluster.pdf Binary files differdeleted file mode 100644 index 599984e..0000000 --- a/refs/dotsenko1991cluster.pdf +++ /dev/null diff --git a/refs/du2006dynamic.pdf b/refs/du2006dynamic.pdf Binary files differdeleted file mode 100644 index 685ba66..0000000 --- a/refs/du2006dynamic.pdf +++ /dev/null diff --git a/refs/geyer1992practical.pdf b/refs/geyer1992practical.pdf Binary files differdeleted file mode 100644 index ff36105..0000000 --- a/refs/geyer1992practical.pdf +++ /dev/null diff --git a/refs/hastings1970monte.pdf b/refs/hastings1970monte.pdf Binary files differdeleted file mode 100644 index 9e87ce1..0000000 --- a/refs/hastings1970monte.pdf +++ /dev/null diff --git a/refs/janke1998nonlocal.pdf b/refs/janke1998nonlocal.pdf Binary files differdeleted file mode 100644 index f2666e0..0000000 --- a/refs/janke1998nonlocal.pdf +++ /dev/null diff --git a/refs/lauwers1989critical.pdf b/refs/lauwers1989critical.pdf Binary files differdeleted file mode 100644 index 09063c5..0000000 --- a/refs/lauwers1989critical.pdf +++ /dev/null diff --git a/refs/liu2014dynamic.pdf b/refs/liu2014dynamic.pdf Binary files differdeleted file mode 100644 index af17e6a..0000000 --- a/refs/liu2014dynamic.pdf +++ /dev/null diff --git a/refs/ray1990metastability.pdf b/refs/ray1990metastability.pdf Binary files differdeleted file mode 100644 index f7f1e2f..0000000 --- a/refs/ray1990metastability.pdf +++ /dev/null diff --git a/refs/swendsen1987nonuniversal.pdf b/refs/swendsen1987nonuniversal.pdf Binary files differdeleted file mode 100644 index 6c359eb..0000000 --- a/refs/swendsen1987nonuniversal.pdf +++ /dev/null diff --git a/refs/wang1989clusters.pdf b/refs/wang1989clusters.pdf Binary files differdeleted file mode 100644 index c06de0b..0000000 --- a/refs/wang1989clusters.pdf +++ /dev/null diff --git a/refs/wang1990cluster.pdf b/refs/wang1990cluster.pdf Binary files differdeleted file mode 100644 index d308d39..0000000 --- a/refs/wang1990cluster.pdf +++ /dev/null diff --git a/refs/wolff1989collective.pdf b/refs/wolff1989collective.pdf Binary files differdeleted file mode 100644 index 6407658..0000000 --- a/refs/wolff1989collective.pdf +++ /dev/null diff --git a/refs/wolff1989comparison.pdf b/refs/wolff1989comparison.pdf Binary files differdeleted file mode 100644 index 4465d2e..0000000 --- a/refs/wolff1989comparison.pdf +++ /dev/null diff --git a/refs/wolff1990critical.pdf b/refs/wolff1990critical.pdf Binary files differdeleted file mode 100644 index 6526c0f..0000000 --- a/refs/wolff1990critical.pdf +++ /dev/null |