diff options
| author | Ian Jauslin <ian@jauslin.org> | 2021-04-28 10:11:13 -0400 |
|---|---|---|
| committer | Ian Jauslin <ian@jauslin.org> | 2021-04-28 10:11:13 -0400 |
| commit | 1f5187ec369f11f102f975ff69ca4e8109eff7cf (patch) | |
| tree | 74f1c1b7f44487dfaeffae4a11fdc750aecbfdd0 /figs | |
Diffstat (limited to 'figs')
36 files changed, 1892 insertions, 0 deletions
diff --git a/figs/condensate.fig/Makefile b/figs/condensate.fig/Makefile new file mode 100644 index 0000000..c45de65 --- /dev/null +++ b/figs/condensate.fig/Makefile @@ -0,0 +1,34 @@ +PROJECTNAME=condensate + +PDFS=$(addsuffix .pdf, $(PROJECTNAME)) +DATS= simpleq.dat bigeq.dat + +all: $(PDFS) + +$(PDFS): $(DATS) + gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@) + pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@) + +simpleq.dat: + julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=1" -M simpleq condensate_fraction > $@ +bigeq.dat: + julia -p 8 $(SIMPLEQ)/main.jl -p "eq=bigeq;N=12;P=8;v_a=1" -M medeq condensate_fraction > $@ + +install: $(PDFS) + cp $^ $(INSTALLDIR)/ + +$(LIBS): + ln -fs libs/$@ ./ + +clean-libs: + rm -f $(LIBS) + +clean-aux: + rm -f $(addsuffix .aux, $(PROJECTNAME)) + rm -f $(addsuffix .log, $(PROJECTNAME)) + rm -f $(addsuffix .tex, $(PROJECTNAME)) + +clean-tex: + rm -f $(PDFS) + +clean: clean-libs clean-aux clean-tex diff --git a/figs/condensate.fig/bigeq.dat b/figs/condensate.fig/bigeq.dat new file mode 100644 index 0000000..e48cbc3 --- /dev/null +++ b/figs/condensate.fig/bigeq.dat @@ -0,0 +1,100 @@ + 1.000000000000000e-06 1.942109602248065e-03 1.702970665674168e-12 + 1.202264434617413e-06 2.144142093189251e-03 1.178808810520995e-13 + 1.445439770745928e-06 2.370859341242408e-03 1.192336354552407e-12 + 1.737800828749376e-06 2.623985546948715e-03 4.076932518598860e-12 + 2.089296130854041e-06 2.904135074720890e-03 3.065737407737518e-12 + 2.511886431509582e-06 3.210803051150611e-03 6.684762465649123e-13 + 3.019951720402019e-06 3.543752141002869e-03 4.093999456324028e-14 + 3.630780547701017e-06 3.904216206875963e-03 4.822691376657683e-14 + 4.365158322401657e-06 4.294899506208919e-03 3.259674352110494e-13 + 5.248074602497723e-06 4.719386978665083e-03 1.028819821235890e-12 + 6.309573444801930e-06 5.181659336263778e-03 1.861524874355775e-12 + 7.585775750291836e-06 5.685862176450733e-03 2.488338274080411e-12 + 9.120108393559096e-06 6.236245567146821e-03 2.709450451184446e-12 + 1.096478196143185e-05 6.837185816392036e-03 2.543679948619913e-12 + 1.318256738556407e-05 7.493237426386802e-03 2.102973889594259e-12 + 1.584893192461114e-05 8.209187621063666e-03 1.527249098895665e-12 + 1.905460717963248e-05 8.990099289731322e-03 9.540538061535407e-13 + 2.290867652767775e-05 9.841336884630313e-03 4.976651096293187e-13 + 2.754228703338163e-05 1.076857581585209e-02 2.551631314103556e-13 + 3.311311214825908e-05 1.177779891236849e-02 2.812676798242623e-13 + 3.981071705534969e-05 1.287528340380401e-02 6.307586000801811e-13 + 4.786300923226380e-05 1.406757951946043e-02 1.319160137450734e-12 + 5.754399373371566e-05 1.536147868007941e-02 2.314118180410572e-12 + 6.918309709189363e-05 1.676396654008137e-02 3.536707073357365e-12 + 8.317637711026709e-05 1.828215421336748e-02 4.866668455989243e-12 + 1.000000000000000e-04 1.992317980401387e-02 6.169192714323269e-12 + 1.202264434617413e-04 2.169407203311732e-02 7.386129325640002e-12 + 1.445439770745928e-04 2.360156902423473e-02 8.592071601482435e-12 + 1.737800828749376e-04 2.565188877539273e-02 4.878829234412997e-15 + 2.089296130854039e-04 2.785045276854119e-02 3.942521128486340e-15 + 2.511886431509580e-04 3.020156819707873e-02 6.234437426160288e-15 + 3.019951720402016e-04 3.270807501963133e-02 1.399974577150145e-14 + 3.630780547701014e-04 3.537096132498831e-02 5.005525484699284e-15 + 4.365158322401661e-04 3.818894722948108e-02 5.456358250864572e-15 + 5.248074602497728e-04 4.115803806089322e-02 4.917806683980876e-15 + 6.309573444801930e-04 4.427105486160373e-02 6.680870445775179e-15 + 7.585775750291835e-04 4.751716358764096e-02 1.779168320111825e-14 + 9.120108393559096e-04 5.088143908449703e-02 9.760013767224759e-15 + 1.096478196143185e-03 5.434450964117910e-02 9.521419345061477e-15 + 1.318256738556408e-03 5.788232915180864e-02 7.574188114522546e-15 + 1.584893192461114e-03 6.146611885354680e-02 1.039377505239065e-14 + 1.905460717963246e-03 6.506251478122342e-02 8.176786147785561e-15 + 2.290867652767772e-03 6.863395318622874e-02 8.338301801453393e-15 + 2.754228703338166e-03 7.213932061012299e-02 7.581270910814022e-15 + 3.311311214825911e-03 7.553488145864165e-02 7.156938338864503e-15 + 3.981071705534973e-03 7.877547091592903e-02 6.929415027760092e-15 + 4.786300923226385e-03 8.181590892502735e-02 8.674664895759950e-15 + 5.754399373371567e-03 8.461255959422054e-02 7.526793721152772e-15 + 6.918309709189363e-03 8.712493630911380e-02 4.144857506288649e-15 + 8.317637711026709e-03 8.931723938183408e-02 3.530020645632524e-15 + 1.000000000000000e-02 9.115971178417075e-02 6.924046664381005e-15 + 1.202264434617413e-02 9.262971027971965e-02 6.034088541831901e-15 + 1.445439770745928e-02 9.371241367329312e-02 4.885148310946663e-15 + 1.737800828749376e-02 9.440112413816591e-02 2.917320379507791e-15 + 2.089296130854041e-02 9.469715660989715e-02 2.610686638602541e-15 + 2.511886431509582e-02 9.460934902764143e-02 7.354666705237897e-15 + 3.019951720402019e-02 9.415325731511556e-02 5.796225767460134e-15 + 3.630780547701010e-02 9.335011969104240e-02 6.017084081620531e-15 + 4.365158322401656e-02 9.222568368303644e-02 5.302998003473651e-15 + 5.248074602497723e-02 9.080898675648411e-02 4.039838886119182e-15 + 6.309573444801930e-02 8.913117007641815e-02 4.125816885656187e-15 + 7.585775750291836e-02 8.722438779915097e-02 4.273284938741890e-15 + 9.120108393559097e-02 8.512085476424038e-02 2.623094380645173e-15 + 1.096478196143185e-01 8.285205637207869e-02 4.927649012520671e-15 + 1.318256738556407e-01 8.044812781958981e-02 2.420044464772237e-15 + 1.584893192461114e-01 7.793739685903543e-02 2.149025610829404e-15 + 1.905460717963248e-01 7.534607518083469e-02 3.388825035919124e-15 + 2.290867652767775e-01 7.269807815050612e-02 2.822970856541473e-15 + 2.754228703338169e-01 7.001495034676258e-02 4.182630891668936e-15 + 3.311311214825908e-01 6.731587439715549e-02 2.904212967331170e-15 + 3.981071705534969e-01 6.461774223707760e-02 5.477274398838064e-15 + 4.786300923226380e-01 6.193527047174405e-02 4.783552039455272e-15 + 5.754399373371566e-01 5.928114448311252e-02 4.439456789833779e-15 + 6.918309709189363e-01 5.666617892504009e-02 3.191356061395679e-15 + 8.317637711026709e-01 5.409948505148902e-02 4.658959396388796e-15 + 1.000000000000000e+00 5.158863779039475e-02 2.496311679602705e-15 + 1.202264434617413e+00 4.913983755302447e-02 2.503975647353570e-15 + 1.445439770745928e+00 4.675806345070745e-02 1.980624000103322e-15 + 1.737800828749376e+00 4.444721590565470e-02 3.513326611439523e-15 + 2.089296130854041e+00 4.221024763556332e-02 2.128775949903540e-15 + 2.511886431509582e+00 4.004928271457441e-02 2.084732824400213e-15 + 3.019951720402019e+00 3.796572391712868e-02 2.057863428784457e-15 + 3.630780547701010e+00 3.596034888344765e-02 2.149696722374579e-15 + 4.365158322401657e+00 3.403339584700401e-02 2.506590750983091e-15 + 5.248074602497723e+00 3.218463976982702e-02 2.666959749115830e-15 + 6.309573444801930e+00 3.041345976812730e-02 1.843390243429058e-15 + 7.585775750291836e+00 2.871889869982439e-02 2.075866723337706e-15 + 9.120108393559097e+00 2.709971574419922e-02 2.614004879642500e-15 + 1.096478196143185e+01 2.555443274573189e-02 2.784239762991527e-15 + 1.318256738556407e+01 2.408137502873176e-02 4.417788851818592e-15 + 1.584893192461114e+01 2.267870732135474e-02 2.346418536174242e-15 + 1.905460717963248e+01 2.134446535879641e-02 3.159630166116848e-15 + 2.290867652767775e+01 2.007658366786368e-02 3.067450163255898e-15 + 2.754228703338169e+01 1.887291997221849e-02 4.085090221270331e-15 + 3.311311214825908e+01 1.773127660229970e-02 4.662766446257259e-15 + 3.981071705534969e+01 1.664941924664940e-02 5.219648685301088e-15 + 4.786300923226381e+01 1.562509334029200e-02 5.188731853763820e-15 + 5.754399373371567e+01 1.465603834912039e-02 5.298056449394350e-15 + 6.918309709189363e+01 1.374000017615125e-02 6.088475789849585e-15 + 8.317637711026708e+01 1.287474188620420e-02 5.607884807044724e-15 diff --git a/figs/condensate.fig/condensate.gnuplot b/figs/condensate.fig/condensate.gnuplot new file mode 100644 index 0000000..f1c689d --- /dev/null +++ b/figs/condensate.fig/condensate.gnuplot @@ -0,0 +1,36 @@ +set ylabel "$\\eta$" norotate +set xlabel "$\\rho$" + +set yrange [0.9:1] +set ytics 0.91, 0.03 +set mytics 3 + +set xrange [1e-6:100] +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics + +# default output canvas size: 12.5cm x 8.75cm +set term lua tikz size 8,6 standalone + +set key off + +# set linestyle +set style line 1 linetype rgbcolor "#4169E1" linewidth 2 +set style line 2 linetype rgbcolor "#DC143C" linewidth 2 +set style line 3 linetype rgbcolor "#32CD32" linewidth 2 +set style line 4 linetype rgbcolor "#4B0082" linewidth 2 +set style line 5 linetype rgbcolor "#DAA520" linewidth 2 + +set pointsize 0.6 + +set label at 0.000005,0.91 "Bogolyubov" textcolor "#32CD32" + +set logscale x + +a=1.25435641059 + +plot "simpleq.dat" u 1:(1-$2) w l ls 1, \ + "bigeq.dat" u 1:(1-$2) w l ls 4 , \ + 1-8/(3*sqrt(pi))*sqrt(x*a**3) linestyle 3 dashtype "." ,\ + "holzmann_2019-12-25.dat" u 1:(1-$3) ls 2 diff --git a/figs/condensate.fig/holzmann_2019-12-25.dat b/figs/condensate.fig/holzmann_2019-12-25.dat new file mode 100644 index 0000000..96689cb --- /dev/null +++ b/figs/condensate.fig/holzmann_2019-12-25.dat @@ -0,0 +1,11 @@ +## data from M. Holzmann, 2019-09-22 +# rho E0 n0 +1e-6 7.902e-6 +1e-4 8.3441e-4 0.0171 +1e-3 9.13384e-3 0.0481 +1e-2 1.061073e-1 0.0871 +1e-1 1.19182e+0 0.0851 +1e-0 1.24302e+1 0.0587 +1e+1 1.25442e+2 0.0319 +5e+1 6.28032e+2 0.021 + diff --git a/figs/condensate.fig/simpleq.dat b/figs/condensate.fig/simpleq.dat new file mode 100644 index 0000000..348121c --- /dev/null +++ b/figs/condensate.fig/simpleq.dat @@ -0,0 +1,100 @@ + 1.000000000000000e-06 2.095081711925015e-03 + 1.202264434617413e-06 2.295235280091131e-03 + 1.445439770745928e-06 2.514296186738034e-03 + 1.737800828749376e-06 2.754005992218143e-03 + 2.089296130854041e-06 3.016257261240048e-03 + 2.511886431509582e-06 3.303104592145314e-03 + 3.019951720402019e-06 3.616775975726918e-03 + 3.630780547701017e-06 3.959684344305409e-03 + 4.365158322401657e-06 4.334439155646415e-03 + 5.248074602497723e-06 4.743857767750661e-03 + 6.309573444801930e-06 5.190976310677877e-03 + 7.585775750291836e-06 5.679059686385030e-03 + 9.120108393559096e-06 6.211610171947045e-03 + 1.096478196143185e-05 6.792374027485015e-03 + 1.318256738556407e-05 7.425345312781278e-03 + 1.584893192461114e-05 8.114765932045185e-03 + 1.905460717963248e-05 8.865120699464721e-03 + 2.290867652767775e-05 9.681125931789915e-03 + 2.754228703338163e-05 1.056770975064344e-02 + 3.311311214825908e-05 1.152998189333092e-02 + 3.981071705534969e-05 1.257319039145271e-02 + 4.786300923226380e-05 1.370266197723624e-02 + 5.754399373371566e-05 1.492372253381352e-02 + 6.918309709189363e-05 1.624159332185176e-02 + 8.317637711026709e-05 1.766125812610249e-02 + 1.000000000000000e-04 1.918729591875359e-02 + 1.202264434617413e-04 2.082367319967555e-02 + 1.445439770745928e-04 2.257348995912804e-02 + 1.737800828749376e-04 2.443867336254203e-02 + 2.089296130854039e-04 2.641961398528058e-02 + 2.511886431509580e-04 2.851474099050601e-02 + 3.019951720402016e-04 3.072003537104471e-02 + 3.630780547701014e-04 3.302848464372067e-02 + 4.365158322401661e-04 3.542948859291789e-02 + 5.248074602497728e-04 3.790823417663501e-02 + 6.309573444801930e-04 4.044506877087432e-02 + 7.585775750291835e-04 4.301491450154334e-02 + 9.120108393559096e-04 4.558678199565728e-02 + 1.096478196143185e-03 4.812345827946150e-02 + 1.318256738556408e-03 5.058145864328128e-02 + 1.584893192461114e-03 5.291134289200051e-02 + 1.905460717963246e-03 5.505849827399160e-02 + 2.290867652767772e-03 5.696447960043553e-02 + 2.754228703338166e-03 5.856896678930269e-02 + 3.311311214825911e-03 5.981234782238041e-02 + 3.981071705534973e-03 6.063886048364867e-02 + 4.786300923226385e-03 6.100013371714988e-02 + 5.754399373371567e-03 6.085886970213172e-02 + 6.918309709189363e-03 6.019231791545348e-02 + 8.317637711026709e-03 5.899513433487237e-02 + 1.000000000000000e-02 5.728121486315967e-02 + 1.202264434617413e-02 5.508415858187780e-02 + 1.445439770745928e-02 5.245615721904299e-02 + 1.737800828749376e-02 4.946530746709376e-02 + 2.089296130854041e-02 4.619156855992348e-02 + 2.511886431509582e-02 4.272179185226004e-02 + 3.019951720402019e-02 3.914438480508303e-02 + 3.630780547701010e-02 3.554420649152192e-02 + 4.365158322401656e-02 3.199821953636445e-02 + 5.248074602497723e-02 2.857226663349834e-02 + 6.309573444801930e-02 2.531914059520501e-02 + 7.585775750291836e-02 2.227792229852985e-02 + 9.120108393559097e-02 1.947440831436047e-02 + 1.096478196143185e-01 1.692235880228233e-02 + 1.318256738556407e-01 1.462526717442258e-02 + 1.584893192461114e-01 1.257837345877809e-02 + 1.905460717963248e-01 1.077069465848733e-02 + 2.290867652767775e-01 9.186909564013418e-03 + 2.754228703338169e-01 7.808998508205012e-03 + 3.311311214825908e-01 6.617591964706389e-03 + 3.981071705534969e-01 5.593022042416338e-03 + 4.786300923226380e-01 4.716097668760250e-03 + 5.754399373371566e-01 3.968639441621027e-03 + 6.918309709189363e-01 3.333816454742892e-03 + 8.317637711026709e-01 2.796327604398189e-03 + 1.000000000000000e+00 2.342466331442259e-03 + 1.202264434617413e+00 1.960102269258443e-03 + 1.445439770745928e+00 1.638607138480099e-03 + 1.737800828749376e+00 1.368746272215081e-03 + 2.089296130854041e+00 1.142551829784601e-03 + 2.511886431509582e+00 9.531892670181336e-04 + 3.019951720402019e+00 7.948250154423670e-04 + 3.630780547701010e+00 6.625005224425910e-04 + 4.365158322401657e+00 5.520157121243856e-04 + 5.248074602497723e+00 4.598234179345307e-04 + 6.309573444801930e+00 3.829352915009887e-04 + 7.585775750291836e+00 3.188389988971121e-04 + 9.120108393559097e+00 2.654260840747906e-04 + 1.096478196143185e+01 2.209296357978901e-04 + 1.318256738556407e+01 1.838707817059403e-04 + 1.584893192461114e+01 1.530130079086820e-04 + 1.905460717963248e+01 1.273233330370514e-04 + 2.290867652767775e+01 1.059394293104648e-04 + 2.754228703338169e+01 8.814186420712528e-05 + 3.311311214825908e+01 7.333072418003886e-05 + 3.981071705534969e+01 6.100596972384632e-05 + 4.786300923226381e+01 5.075095479639026e-05 + 5.754399373371567e+01 4.221862079919067e-05 + 6.918309709189363e+01 3.511994492291246e-05 + 8.317637711026708e+01 2.921428437169262e-05 diff --git a/figs/condensate16.fig/.energy16.gnuplot.swp b/figs/condensate16.fig/.energy16.gnuplot.swp Binary files differnew file mode 100644 index 0000000..d23db08 --- /dev/null +++ b/figs/condensate16.fig/.energy16.gnuplot.swp diff --git a/figs/condensate16.fig/2020-05-22+16.dat b/figs/condensate16.fig/2020-05-22+16.dat new file mode 100644 index 0000000..c28285d --- /dev/null +++ b/figs/condensate16.fig/2020-05-22+16.dat @@ -0,0 +1,7 @@ +# rho E0 n0 + 1e-3 0.05195 0.61 + 5e-3 0.449 0.40 + 1e-2 1.1335 0.34 + 2e-2 2.748 0.33 + 1e-1 17.797 0.43 + 1e+0 197.35 0.70 diff --git a/figs/condensate16.fig/Makefile b/figs/condensate16.fig/Makefile new file mode 100644 index 0000000..d44f73c --- /dev/null +++ b/figs/condensate16.fig/Makefile @@ -0,0 +1,35 @@ +PROJECTNAME=condensate16 + +SIMPLEQ=~/Work/Research/2018+bose_gas/cmp/simpleq + +DATS=simpleq16.dat medeq16.dat +PDFS=$(addsuffix .pdf, $(PROJECTNAME)) +TEXS=$(addsuffix .tikz.tex, $(PROJECTNAME)) + +all: $(PDFS) + +$(PDFS): $(DATS) + gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@) + pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@) + +simpleq16.dat: + julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=16" -M simpleq condensate_fraction > $@ +medeq16.dat: + julia -p 8 $(SIMPLEQ)/main.jl -p "aK=1;aL1=1;aL2=1;aL3=0;bK=1;bL1=1;bL2=1;gK=1;gL2=1;gL3=0;N=12;P=8;v_a=16" -M medeq condensate_fraction > $@ + + +install: $(PDFS) + cp $^ $(INSTALLDIR)/ + +clean-aux: + rm -f $(addsuffix .tikz.tex, $(PROJECTNAME)) + rm -f $(addsuffix .aux, $(PROJECTNAME)) + rm -f $(addsuffix .log, $(PROJECTNAME)) + +clean-dat: + rm -f $(DATS) + +clean-tex: + rm -f $(PDFS) + +clean: clean-aux clean-tex diff --git a/figs/condensate16.fig/condensate16.gnuplot b/figs/condensate16.fig/condensate16.gnuplot new file mode 100644 index 0000000..e94eb1a --- /dev/null +++ b/figs/condensate16.fig/condensate16.gnuplot @@ -0,0 +1,34 @@ +set ylabel "$\\eta$" norotate offset -1,0 +set xlabel "$\\rho$" + +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics + +#set ytics 0.6, 0.1 +set mytics 2 + +set xrange [0.000001:100] + +# default output canvas size: 12.5cm x 8.75cm +set term lua tikz size 8,6 standalone + +set key off + + +# set linestyle +set style line 1 linetype rgbcolor "#4169E1" linewidth 2 +set style line 2 linetype rgbcolor "#DC143C" linewidth 2 +set style line 3 linetype rgbcolor "#32CD32" linewidth 2 +set style line 4 linetype rgbcolor "#4B0082" linewidth 2 +set style line 5 linetype rgbcolor "#DAA520" linewidth 2 + +set pointsize 1 + +set logscale x + +plot \ + "simpleq16.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 1 ,\ + "medeq16.dat" using 1:($3<1e-5 ? 1-$2 : 1/0) with lines ls 4 ,\ + "2020-05-22+16.dat" using 1:3 with points ls 2 + diff --git a/figs/condensate16.fig/medeq16.dat b/figs/condensate16.fig/medeq16.dat new file mode 100644 index 0000000..16ef72d --- /dev/null +++ b/figs/condensate16.fig/medeq16.dat @@ -0,0 +1,100 @@ + 1.000000000000000e-06 1.166000749536307e-02 1.397500557749096e-14 + 1.202264434617413e-06 1.294150659557208e-02 1.638378932477403e-14 + 1.445439770745928e-06 1.433395863576837e-02 2.068669778175053e-14 + 1.737800828749376e-06 1.585523520080719e-02 9.413457244472722e-15 + 2.089296130854041e-06 1.752468227078358e-02 2.147730951610164e-14 + 2.511886431509582e-06 1.936219857512355e-02 5.079185685242370e-14 + 3.019951720402019e-06 2.138821025238190e-02 4.890613903920614e-14 + 3.630780547701017e-06 2.362406333962305e-02 3.239855276438957e-14 + 4.365158322401657e-06 2.609258293662487e-02 6.114316674680731e-14 + 5.248074602497723e-06 2.881866901219256e-02 2.406593746021106e-14 + 6.309573444801930e-06 3.182986273284136e-02 5.235506117228457e-14 + 7.585775750291836e-06 3.515686411604940e-02 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4.852059592739983e-15 diff --git a/figs/condensate16.fig/simpleq16.dat b/figs/condensate16.fig/simpleq16.dat new file mode 100644 index 0000000..c19b5fd --- /dev/null +++ b/figs/condensate16.fig/simpleq16.dat @@ -0,0 +1,100 @@ + 1.000000000000000e-06 1.193252238402537e-02 1.001128563083394e-13 + 1.202264434617413e-06 1.310706858781873e-02 1.166419917451259e-13 + 1.445439770745928e-06 1.439955124980759e-02 1.641671221071265e-13 + 1.737800828749376e-06 1.582224960123280e-02 1.318046204468745e-13 + 2.089296130854041e-06 1.738879830343562e-02 6.465028107789633e-14 + 2.511886431509582e-06 1.911434871723211e-02 1.282631449030218e-13 + 3.019951720402019e-06 2.101575037740115e-02 1.828007544593001e-13 + 3.630780547701017e-06 2.311175508419431e-02 8.716203682159707e-14 + 4.365158322401657e-06 2.542324601386885e-02 2.567118665713670e-13 + 5.248074602497723e-06 2.797349426852578e-02 1.909114183041957e-13 + 6.309573444801930e-06 3.078844511607499e-02 4.832552648271436e-13 + 7.585775750291836e-06 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-file-line-error $(patsubst %.pdf, %.tikz.tex, $@) + +simpleq.dat: + julia $(SIMPLEQ)/main.jl -p "rho=2e-2;minlrho=-6;nlrho=60;eq=simpleq;N=12;P=8;xmax=10" -M medeq 2pt-simpleq > $@ +mueq.dat: + julia $(SIMPLEQ)/main.jl -p "rho=2e-2;minlrho=-6;nlrho=60;eq=mueq;N=12;P=8;xmax=10" -M medeq 2pt > $@ +bigeq.dat: + julia $(SIMPLEQ)/main.jl -p "rho=2e-2;minlrho=-6;nlrho=60;v_a=16;eq=bigeq;N=12;P=8;xmax=10" -M medeq 2pt > $@ + +install: $(PDFS) + cp $^ $(INSTALLDIR)/ + +clean-aux: + rm -f $(addsuffix .tikz.tex, $(PROJECTNAME)) + rm -f $(addsuffix .aux, $(PROJECTNAME)) + rm -f $(addsuffix .log, $(PROJECTNAME)) + +clean-dat: + rm -f $(DATS) + +clean-tex: + rm -f $(PDFS) + +clean: clean-aux clean-tex diff --git a/figs/correlation.fig/bigeq.dat b/figs/correlation.fig/bigeq.dat new file mode 100644 index 0000000..07b50b3 --- /dev/null +++ b/figs/correlation.fig/bigeq.dat @@ -0,0 +1,100 @@ + 1.000000000000000e-01 -7.492541163311106e-06 + 2.000000000000000e-01 -8.016902978356378e-06 + 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linetype rgbcolor "#4169E1" linewidth 2 +set style line 2 linetype rgbcolor "#DC143C" linewidth 1 +set style line 3 linetype rgbcolor "#32CD32" linewidth 2 +set style line 4 linetype rgbcolor "#4B0082" linewidth 2 +set style line 5 linetype rgbcolor "#DAA520" linewidth 2 +set style line 6 linetype rgbcolor "#555500" linewidth 2 + +set pointsize 0.5 + +rho=2e-2 + +plot \ + "simpleq.dat" using 1:($2/rho**2) with lines ls 1,\ + "bigeq.dat" using 1:($2/rho**2) with lines ls 4,\ + "2020-08-27+correlation.dat" using 1:2 ls 2 + diff --git a/figs/correlation.fig/mueq.dat b/figs/correlation.fig/mueq.dat new file mode 100644 index 0000000..4662058 --- /dev/null +++ b/figs/correlation.fig/mueq.dat @@ -0,0 +1,100 @@ + 1.000000000000000e-01 2.130418403340800e-04 + 2.000000000000000e-01 2.145091238125419e-04 + 3.000000000000000e-01 2.168961803510115e-04 + 4.000000000000000e-01 2.200881047098373e-04 + 5.000000000000000e-01 2.239499052926825e-04 + 6.000000000000000e-01 2.283477782850422e-04 + 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b/figs/energy.fig/erho.dat new file mode 100644 index 0000000..837439f --- /dev/null +++ b/figs/energy.fig/erho.dat @@ -0,0 +1,104 @@ + # v(x)=exp(-|x|), order=100, tolerance=1e-14 + # + # rho energy + # + 1.00000000e-06 7.93445832e-06 + 1.20226443e-06 9.54545091e-06 + 1.44543977e-06 1.14842358e-05 + 1.73780083e-06 1.38177301e-05 + 2.08929613e-06 1.66265809e-05 + 2.51188643e-06 2.00080034e-05 + 3.01995172e-06 2.40792133e-05 + 3.63078055e-06 2.89815779e-05 + 4.36515832e-06 3.48856405e-05 + 5.24807460e-06 4.19972045e-05 + 6.30957344e-06 5.05647046e-05 + 7.58577575e-06 6.08881446e-05 + 9.12010839e-06 7.33299394e-05 + 1.09647820e-05 8.83280780e-05 + 1.31825674e-05 1.06412115e-04 + 1.58489319e-05 1.28222614e-04 + 1.90546072e-05 1.54534805e-04 + 2.29086765e-05 1.86287394e-04 + 2.75422870e-05 2.24617677e-04 + 3.31131121e-05 2.70904370e-04 + 3.98107171e-05 3.26819905e-04 + 4.78630092e-05 3.94394317e-04 + 5.75439937e-05 4.76093386e-04 + 6.91830971e-05 5.74914264e-04 + 8.31763771e-05 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9.52890139e+01 + 9.12010839e+00 1.14569987e+02 + 1.09647820e+01 1.37750822e+02 + 1.31825674e+01 1.65620322e+02 + 1.58489319e+01 1.99126836e+02 + 1.90546072e+01 2.39410530e+02 + 2.29086765e+01 2.87842186e+02 + 2.75422870e+01 3.46069846e+02 + 3.31131121e+01 4.16074894e+02 + 3.98107171e+01 5.00239474e+02 + 4.78630092e+01 6.01427558e+02 + 5.75439937e+01 7.23082394e+02 + 6.91830971e+01 8.69343678e+02 + 8.31763771e+01 1.04518842e+03 diff --git a/figs/energy.fig/erho_effective.gnuplot b/figs/energy.fig/erho_effective.gnuplot new file mode 100644 index 0000000..f26252e --- /dev/null +++ b/figs/energy.fig/erho_effective.gnuplot @@ -0,0 +1,38 @@ +set ylabel "$\\displaystyle\\frac{e}{\\rho}$" norotate offset -1,0 +set xlabel "$\\rho$" + +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics + +set ytics 8,1 +set mytics 2 + +set xrange [0.000001:100] +set yrange [7.5:13.5] + +# default output canvas size: 12.5cm x 8.75cm +set term lua tikz size 8,6 standalone + +set key off + + +# set linestyle +set style line 1 linetype rgbcolor "#4169E1" linewidth 3 +set style line 2 linetype rgbcolor "#DC143C" linewidth 3 +set style line 3 linetype rgbcolor "#32CD32" linewidth 3 +set style line 4 linetype rgbcolor "#4B0082" linewidth 3 +set style line 5 linetype rgbcolor "#DAA520" linewidth 3 + +set pointsize 1 + +set logscale x + +a=1.25435641059 + +set label at 0.0001,2*pi*a*1.03 "LHY" textcolor "#DAA520" +set label at 0.1,4.1*pi "Hartree" textcolor "#32CD32" + +plot "erho.dat" using 1:($2/$1) with lines linestyle 1 ,\ + 2*pi*a*(1+128/15/sqrt(pi)*sqrt(x*a**3)) linestyle 5 dashtype "." ,\ + 4*pi linestyle 3 dashtype "." diff --git a/figs/energy.fig/erho_fulleq.dat b/figs/energy.fig/erho_fulleq.dat new file mode 100644 index 0000000..351d1b9 --- /dev/null +++ b/figs/energy.fig/erho_fulleq.dat @@ -0,0 +1,100 @@ + 1.000000000000000e-06 7.943042518656766e-06 0 + 1.202264434617413e-06 9.550219866068997e-06 0 + 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5.248074602497723e+00 6.575435350738108e+01 1 + 6.309573444801930e+00 7.908689506783082e+01 1 + 7.585775750291836e+00 9.511747067219883e+01 1 + 9.120108393559097e+00 1.143917984731058e+02 1 + 1.096478196143185e+01 1.375659740282897e+02 1 + 1.318256738556407e+01 1.654287952107530e+02 1 + 1.584893192461114e+01 1.989286012247062e+02 1 + 1.905460717963248e+01 2.392055363411829e+02 0 + 2.290867652767775e+01 2.876303621855438e+02 0 + 2.754228703338169e+01 3.458511552270688e+02 0 + 3.311311214825908e+01 4.158492765508882e+02 0 + 3.981071705534969e+01 5.000067330413117e+02 0 + 4.786300923226381e+01 6.011878314695363e+02 0 + 5.754399373371567e+01 7.228352310513908e+02 0 + 6.918309709189363e+01 8.690894472935229e+02 0 + 8.317637711026708e+01 1.044926046890143e+03 0 diff --git a/figs/energy.fig/erho_fulleq.gnuplot b/figs/energy.fig/erho_fulleq.gnuplot new file mode 100644 index 0000000..2927ead --- /dev/null +++ b/figs/energy.fig/erho_fulleq.gnuplot @@ -0,0 +1,37 @@ +set ylabel "$\\displaystyle\\frac{e}{\\rho}$" norotate offset -1,0 +set xlabel "$\\rho$" + +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics + +set ytics 8,1 +set mytics 2 + +set xrange [0.000001:100] +set yrange [7.5:13.5] + +# default output canvas size: 12.5cm x 8.75cm +set term lua tikz size 8,6 standalone + +set key off + + +# set linestyle +set style line 1 linetype rgbcolor "#4169E1" linewidth 3 +set style line 2 linetype rgbcolor "#DC143C" linewidth 3 +set style line 3 linetype rgbcolor "#32CD32" linewidth 3 +set style line 4 linetype rgbcolor "#4B0082" linewidth 3 +set style line 5 linetype rgbcolor "#DAA520" linewidth 3 + +set pointsize 1 + +set logscale x + +a=1.25435641059 + +plot "erho.dat" using 1:($2/$1) with lines linestyle 1 ,\ + "erho_fulleq.dat" using 1:($2/$1) with lines linestyle 4 ,\ + 2*pi*a*(1+128/15/sqrt(pi)*sqrt(x*a**3)) linestyle 5 dashtype "." ,\ + 4*pi linestyle 3 dashtype "." ,\ + "holzmann_2019-12-25.dat" using 1:($2/$1) with points linestyle 2 diff --git a/figs/energy.fig/erho_lowhigh.gnuplot b/figs/energy.fig/erho_lowhigh.gnuplot new file mode 100644 index 0000000..9d2a590 --- /dev/null +++ b/figs/energy.fig/erho_lowhigh.gnuplot @@ -0,0 +1,37 @@ +set ylabel "$\\displaystyle\\frac{e}{\\rho}$" norotate offset -1,0 +set xlabel "$\\rho$" + +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics + +set ytics 8,1 +set mytics 2 + +set xrange [0.000001:100] +set yrange [7.5:13.5] + +# default output canvas size: 12.5cm x 8.75cm +set term lua tikz size 8,6 standalone + +set key off + + +# set linestyle +set style line 1 linetype rgbcolor "#4169E1" linewidth 3 +set style line 2 linetype rgbcolor "#DC143C" linewidth 3 +set style line 3 linetype rgbcolor "#32CD32" linewidth 3 +set style line 4 linetype rgbcolor "#4B0082" linewidth 3 +set style line 5 linetype rgbcolor "#DAA520" linewidth 3 + +set pointsize 1 + +set logscale x + +a=1.25435641059 + +set label at 0.0001,2*pi*a*1.03 "LHY" textcolor "#DAA520" +set label at 0.1,4.1*pi "Hartree" textcolor "#32CD32" + +plot 2*pi*a*(1+128/15/sqrt(pi)*sqrt(x*a**3)) linestyle 5 dashtype "." ,\ + 4*pi linestyle 3 dashtype "." diff --git a/figs/energy.fig/holzmann_2019-12-25.dat b/figs/energy.fig/holzmann_2019-12-25.dat new file mode 100644 index 0000000..96689cb --- /dev/null +++ b/figs/energy.fig/holzmann_2019-12-25.dat @@ -0,0 +1,11 @@ +## data from M. Holzmann, 2019-09-22 +# rho E0 n0 +1e-6 7.902e-6 +1e-4 8.3441e-4 0.0171 +1e-3 9.13384e-3 0.0481 +1e-2 1.061073e-1 0.0871 +1e-1 1.19182e+0 0.0851 +1e-0 1.24302e+1 0.0587 +1e+1 1.25442e+2 0.0319 +5e+1 6.28032e+2 0.021 + diff --git a/figs/energy16.fig/2020-05-22+16.dat b/figs/energy16.fig/2020-05-22+16.dat new file mode 100644 index 0000000..c28285d --- /dev/null +++ b/figs/energy16.fig/2020-05-22+16.dat @@ -0,0 +1,7 @@ +# rho E0 n0 + 1e-3 0.05195 0.61 + 5e-3 0.449 0.40 + 1e-2 1.1335 0.34 + 2e-2 2.748 0.33 + 1e-1 17.797 0.43 + 1e+0 197.35 0.70 diff --git a/figs/energy16.fig/Makefile b/figs/energy16.fig/Makefile new file mode 100644 index 0000000..964a8c5 --- /dev/null +++ b/figs/energy16.fig/Makefile @@ -0,0 +1,35 @@ +PROJECTNAME=energy16 + +SIMPLEQ=~/Work/Research/2018+bose_gas/cmp/simpleq + +DATS=simpleq16.dat medeq16.dat +PDFS=$(addsuffix .pdf, $(PROJECTNAME)) +TEXS=$(addsuffix .tikz.tex, $(PROJECTNAME)) + +all: $(PDFS) + +$(PDFS): $(DATS) + gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@) + pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@) + +simpleq16.dat: + julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=16" -M simpleq energy_rho > $@ +medeq16.dat: + julia -p 8 $(SIMPLEQ)/main.jl -p "aK=1;aL1=1;aL2=1;aL3=0;bK=1;bL1=1;bL2=1;gK=1;gL2=1;gL3=0;N=12;P=8;v_a=16" -M medeq energy_rho > $@ + + +install: $(PDFS) + cp $^ $(INSTALLDIR)/ + +clean-aux: + rm -f $(addsuffix .tikz.tex, $(PROJECTNAME)) + rm -f $(addsuffix .aux, $(PROJECTNAME)) + rm -f $(addsuffix .log, $(PROJECTNAME)) + +clean-dat: + rm -f $(DATS) + +clean-tex: + rm -f $(PDFS) + +clean: clean-aux clean-tex diff --git a/figs/energy16.fig/energy16.gnuplot b/figs/energy16.fig/energy16.gnuplot new file mode 100644 index 0000000..dc996c5 --- /dev/null +++ b/figs/energy16.fig/energy16.gnuplot @@ -0,0 +1,34 @@ +set ylabel "$\\displaystyle\\frac{e}{\\rho}$" norotate offset -1,0 +set xlabel "$\\rho$" + +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics + +#set ytics 0.6, 0.1 +set mytics 2 + +set xrange [0.000001:100] + +# default output canvas size: 12.5cm x 8.75cm +set term lua tikz size 8,6 standalone + +set key off + + +# set linestyle +set style line 1 linetype rgbcolor "#4169E1" linewidth 2 +set style line 2 linetype rgbcolor "#DC143C" linewidth 2 +set style line 3 linetype rgbcolor "#32CD32" linewidth 2 +set style line 4 linetype rgbcolor "#4B0082" linewidth 2 +set style line 5 linetype rgbcolor "#DAA520" linewidth 2 + +set pointsize 1 + +set logscale x + +plot \ + "simpleq16.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 1 ,\ + "medeq16.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 4 ,\ + "2020-05-22+16.dat" using 1:($2/$1) with points ls 2 + diff --git a/figs/energy16.fig/medeq16.dat b/figs/energy16.fig/medeq16.dat new file mode 100644 index 0000000..b670ef5 --- /dev/null +++ b/figs/energy16.fig/medeq16.dat @@ -0,0 +1,100 @@ + 1.000000000000000e-06 2.554068644475559e-05 1.397500557749096e-14 + 1.202264434617413e-06 3.080347047701689e-05 1.638378932477403e-14 + 1.445439770745928e-06 3.716098929256974e-05 2.068669778175053e-14 + 1.737800828749376e-06 4.484410409494435e-05 9.413457244472722e-15 + 2.089296130854041e-06 5.413333030032436e-05 2.147730951610164e-14 + 2.511886431509582e-06 6.536981275090576e-05 5.079185685242370e-14 + 3.019951720402019e-06 7.896881202049198e-05 4.890613903920614e-14 + 3.630780547701017e-06 9.543630295201912e-05 3.239855276438957e-14 + 4.365158322401657e-06 1.153894399986016e-04 6.114316674680731e-14 + 5.248074602497723e-06 1.395818383298505e-04 2.406593746021106e-14 + 6.309573444801930e-06 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6.918309709189363e+01 1.390949868589013e+04 5.629397185139020e-14 + 8.317637711026708e+01 1.672301456399418e+04 8.852629630882290e-12 diff --git a/figs/energy_relative_error.fig/2020-10-15+energy.dat b/figs/energy_relative_error.fig/2020-10-15+energy.dat new file mode 100644 index 0000000..8a6566c --- /dev/null +++ b/figs/energy_relative_error.fig/2020-10-15+energy.dat @@ -0,0 +1,13 @@ +1e-6 7.90e-6 7.91e-6 +1e-4 8.344e-4 8.345e-4 0.017 0.018 8.355e-4 8.356e-4 0.015 0.016 +1e-3 9.1338e-3 9.1339e-3 0.048 0.049 9.142e-3 9.143e-3 0.045 0.046 +5e-3 5.0613e-2 5.0614e-2 0.080 0.081 5.0648e-2 5.0649e-2 0.070 0.071 +1e-2 1.06107e-1 1.06108e-1 0.087 0.088 1.0627e-1 1.0628e-1 0.073 0.074 +1.5e-2 1.6337e-1 1.6338e-1 0.090 0.091 1.6342e-1 1.6343e-1 0.088 0.089 +2e-2 2.2162e-1 2.2163e-1 0.093 0.094 2.2169e-1 2.2170e-1 0.090 0.091 +5e-2 5.8044e-1 5.8045e-1 0.091 0.092 5.8046e-1 5.8047e-1 0.091 0.092 +1e-1 1.1918e+0 1.1919e+0 0.088 0.089 1.1919e+0 1.1920e+0 0.085 0.086 +1e-0 1.2430e+1 1.2431e+1 0.058 0.059 1.245e+1 1.246e+1 0.05 0.06 +1e+1 1.2544e+2 1.2545e+2 0.031 0.032 +5e+1 6.2803e+2 6.2804e+2 0.02 0.03 + diff --git a/figs/energy_relative_error.fig/Makefile b/figs/energy_relative_error.fig/Makefile new file mode 100644 index 0000000..93e03f5 --- /dev/null +++ b/figs/energy_relative_error.fig/Makefile @@ -0,0 +1,51 @@ +PROJECTNAME=cmp_energy1 + +SIMPLEQ=~/Work/Research/2018+bose_gas/cmp/simpleq + +DATS= simpleq1.dat mueq1.dat bigeq1.dat +PDFS=$(addsuffix .pdf, $(PROJECTNAME)) +TEXS=$(addsuffix .tikz.tex, $(PROJECTNAME)) + +all: $(PDFS) + +$(PDFS): $(DATS) + gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@) + pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@) + +bigeq1.dat: + for rho in 1e-6 1e-4 1e-3 5e-3 1e-2 1.5e-2 2e-2 5e-2 1e-1 1.0 1e1 5e1; do \ + echo -n $$rho " " >> $@-tmp ;\ + julia $(SIMPLEQ)/main.jl -p "N=12;P=8;J=10;maxiter=100;v_a=1;rho=$$rho;minlrho=-6;nlrho=50;eq=bigeq" -M medeq energy >> $@-tmp ;\ + done + paste $@-tmp 2020-10-15+energy.dat > $@ + rm $@-tmp +simpleq1.dat: + for lrho in -6 -4 -3 -2.3010299956639813 -2 -1.8239087409443189 -1.6989700043360187 -1.3010299956639813 -1 0 1 1.6989700043360187; do\ + julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=1;minlrho=$$lrho;nlrho=1" -M simpleq energy_rho >> $@-tmp ;\ + done + paste $@-tmp 2020-10-15+energy.dat > $@ + rm $@-tmp +mueq1.dat: + for lrho in -6 -4 -3 -2.3010299956639813 -2 -1.8239087409443189 -1.6989700043360187 -1.3010299956639813 -1 0 1 1.6989700043360187; do\ + julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=1;minlrho=$$lrho;nlrho=1" -M mueq energy_rho >> $@-tmp ;\ + done + paste $@-tmp 2020-10-15+energy.dat > $@ + rm $@-tmp + + +install: $(PDFS) + cp $^ $(INSTALLDIR)/ + +clean-aux: + rm -f $(addsuffix .tikz.tex, $(PROJECTNAME)) + rm -f $(addsuffix .aux, $(PROJECTNAME)) + rm -f $(addsuffix .log, $(PROJECTNAME)) + +clean-dat: + rm -f $(DATS) + rm -f Abar.dat + +clean-tex: + rm -f $(PDFS) + +clean: clean-aux clean-tex diff --git a/figs/energy_relative_error.fig/bigeq1.dat b/figs/energy_relative_error.fig/bigeq1.dat new file mode 100644 index 0000000..ccab7cc --- /dev/null +++ b/figs/energy_relative_error.fig/bigeq1.dat @@ -0,0 +1,13 @@ +1e-6 7.933345669932108e-06 1.702110068633820e-12 1e-6 7.90e-6 7.91e-6 +1e-4 8.349333596092273e-04 1.112527655484278e-13 1e-4 8.344e-4 8.345e-4 0.017 0.018 8.355e-4 8.356e-4 0.015 0.016 +1e-3 9.146316224214820e-03 2.077370190827862e-12 1e-3 9.1338e-3 9.1339e-3 0.048 0.049 9.142e-3 9.143e-3 0.045 0.046 +5e-3 5.063551121414726e-02 8.398015568932763e-12 5e-3 5.0613e-2 5.0614e-2 0.080 0.081 5.0648e-2 5.0649e-2 0.070 0.071 +1e-2 1.061166635113156e-01 5.017547334745932e-15 1e-2 1.06107e-1 1.06108e-1 0.087 0.088 1.0627e-1 1.0628e-1 0.073 0.074 +1.5e-2 1.633545333357252e-01 2.212732350724188e-15 1.5e-2 1.6337e-1 1.6338e-1 0.090 0.091 1.6342e-1 1.6343e-1 0.088 0.089 +2e-2 2.216006926766234e-01 4.554921896809050e-15 2e-2 2.2162e-1 2.2163e-1 0.093 0.094 2.2169e-1 2.2170e-1 0.090 0.091 +5e-2 5.805467427278628e-01 3.333614946727334e-15 5e-2 5.8044e-1 5.8045e-1 0.091 0.092 5.8046e-1 5.8047e-1 0.091 0.092 +1e-1 1.191928562890024e+00 2.450444415773880e-15 1e-1 1.1918e+0 1.1919e+0 0.088 0.089 1.1919e+0 1.1920e+0 0.085 0.086 +1.0 1.243051761633436e+01 3.791416729017179e-12 1e-0 1.2430e+1 1.2431e+1 0.058 0.059 1.245e+1 1.246e+1 0.05 0.06 +1e1 1.254476421597336e+02 2.677873467933947e-13 1e+1 1.2544e+2 1.2545e+2 0.031 0.032 +5e1 nan nan 5e+1 6.2803e+2 6.2804e+2 0.02 0.03 + diff --git a/figs/energy_relative_error.fig/cmp_energy1.gnuplot b/figs/energy_relative_error.fig/cmp_energy1.gnuplot new file mode 100644 index 0000000..c2b1afd --- /dev/null +++ b/figs/energy_relative_error.fig/cmp_energy1.gnuplot @@ -0,0 +1,37 @@ +set title "$v(\\mathbf x)=e^{-|\\mathbf x|}$" +set ylabel "energy relative error" offset +3 +set xlabel "$\\rho$" + +set xtics 1e-6, 100, 100 +set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100) +unset mxtics +set xrange [1e-6:1e2] + +set ytics 1e-5, 10, 1e-1 +set ytics add ("$10^{-5}$" 1e-5, "$10^{-4}$" 1e-4, "$10^{-3}$" 1e-3, "$10^{-2}$" 1e-2, "$10^{-1}$" 1e-1) +set yrange [1e-5:1e-1] + +# default output canvas size: 12.5cm x 8.75cm +set term lua tikz size 8,6 standalone + +unset key + + +# set linestyle +set style line 1 linetype rgbcolor "#4169E1" linewidth 2 +set style line 2 linetype rgbcolor "#DC143C" linewidth 2 +set style line 3 linetype rgbcolor "#32CD32" linewidth 2 +set style line 4 linetype rgbcolor "#4B0082" linewidth 2 +set style line 5 linetype rgbcolor "#DAA520" linewidth 2 + +set pointsize 1 + +max(x,y)=(x>y ? x : y) + +set logscale xy + +plot \ + "simpleq1.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) every ::1 with lp ls 1 ,\ + "bigeq1.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) every ::1 with lp ls 4 ,\ + "2020-10-15+energy.dat" using 1:(max(max(abs($6-$2)/$2,abs($6-$3)/$3),max(abs($7-$2)/$2,abs($7-$3)/$3))) every ::1 with lp ls 2 + diff --git a/figs/energy_relative_error.fig/mueq1.dat b/figs/energy_relative_error.fig/mueq1.dat new file mode 100644 index 0000000..6680ed3 --- /dev/null +++ b/figs/energy_relative_error.fig/mueq1.dat @@ -0,0 +1,13 @@ + 1.000000000000000e-06 7.934286257047026e-06 3.235575358862730e-14 1e-6 7.90e-6 7.91e-6 + 1.000000000000000e-04 8.377752370367244e-04 3.201262322514326e-14 1e-4 8.344e-4 8.345e-4 0.017 0.018 8.355e-4 8.356e-4 0.015 0.016 + 1.000000000000000e-03 9.227516472314044e-03 5.926882960328585e-12 1e-3 9.1338e-3 9.1339e-3 0.048 0.049 9.142e-3 9.143e-3 0.045 0.046 + 4.999999999999999e-03 5.110614907540598e-02 1.069784208067329e-14 5e-3 5.0613e-2 5.0614e-2 0.080 0.081 5.0648e-2 5.0649e-2 0.070 0.071 + 1.000000000000000e-02 1.069255387977072e-01 1.572627931557844e-14 1e-2 1.06107e-1 1.06108e-1 0.087 0.088 1.0627e-1 1.0628e-1 0.073 0.074 + 1.500000000000000e-02 1.643925118385577e-01 2.494863657028789e-14 1.5e-2 1.6337e-1 1.6338e-1 0.090 0.091 1.6342e-1 1.6343e-1 0.088 0.089 + 2.000000000000000e-02 2.228019992986293e-01 1.448625206361080e-14 2e-2 2.2162e-1 2.2163e-1 0.093 0.094 2.2169e-1 2.2170e-1 0.090 0.091 + 5.000000000000000e-02 5.821600306289594e-01 2.429130993459621e-14 5e-2 5.8044e-1 5.8045e-1 0.091 0.092 5.8046e-1 5.8047e-1 0.091 0.092 + 1.000000000000000e-01 1.193625606724180e+00 9.289627651289616e-14 1e-1 1.1918e+0 1.1919e+0 0.088 0.089 1.1919e+0 1.1920e+0 0.085 0.086 + 1.000000000000000e+00 1.243092200540192e+01 3.956891809887943e-12 1e-0 1.2430e+1 1.2431e+1 0.058 0.059 1.245e+1 1.246e+1 0.05 0.06 + 1.000000000000000e+01 1.254464788052155e+02 1.136222076562384e-14 1e+1 1.2544e+2 1.2545e+2 0.031 0.032 + 4.999999999999999e+01 6.280479158155819e+02 4.085062088184932e-15 5e+1 6.2803e+2 6.2804e+2 0.02 0.03 + diff --git a/figs/energy_relative_error.fig/simpleq1.dat b/figs/energy_relative_error.fig/simpleq1.dat new file mode 100644 index 0000000..0a9946c --- /dev/null +++ b/figs/energy_relative_error.fig/simpleq1.dat @@ -0,0 +1,13 @@ + 1.000000000000000e-06 7.934458317554763e-06 1.386474846476237e-14 1e-6 7.90e-6 7.91e-6 + 1.000000000000000e-04 8.392960650211980e-04 4.992772141681879e-14 1e-4 8.344e-4 8.345e-4 0.017 0.018 8.355e-4 8.356e-4 0.015 0.016 + 1.000000000000000e-03 9.335885024335848e-03 9.476600935679491e-12 1e-3 9.1338e-3 9.1339e-3 0.048 0.049 9.142e-3 9.143e-3 0.045 0.046 + 4.999999999999999e-03 5.253256909806337e-02 2.904203225041083e-14 5e-3 5.0613e-2 5.0614e-2 0.080 0.081 5.0648e-2 5.0649e-2 0.070 0.071 + 1.000000000000000e-02 1.105504827786785e-01 3.695967730970493e-14 1e-2 1.06107e-1 1.06108e-1 0.087 0.088 1.0627e-1 1.0628e-1 0.073 0.074 + 1.500000000000000e-02 1.702888708763101e-01 2.044316796426063e-14 1.5e-2 1.6337e-1 1.6338e-1 0.090 0.091 1.6342e-1 1.6343e-1 0.088 0.089 + 2.000000000000000e-02 2.309054339970606e-01 1.984104771646051e-14 2e-2 2.2162e-1 2.2163e-1 0.093 0.094 2.2169e-1 2.2170e-1 0.090 0.091 + 5.000000000000000e-02 6.014214358150070e-01 1.045253287889987e-14 5e-2 5.8044e-1 5.8045e-1 0.091 0.092 5.8046e-1 5.8047e-1 0.091 0.092 + 1.000000000000000e-01 1.226000446492040e+00 3.630493925691041e-15 1e-1 1.1918e+0 1.1919e+0 0.088 0.089 1.1919e+0 1.1920e+0 0.085 0.086 + 1.000000000000000e+00 1.253044200066420e+01 1.230015282154983e-13 1e-0 1.2430e+1 1.2431e+1 0.058 0.059 1.245e+1 1.246e+1 0.05 0.06 + 1.000000000000000e+01 1.256270224354739e+02 6.086298884133178e-15 1e+1 1.2544e+2 1.2545e+2 0.031 0.032 + 4.999999999999999e+01 6.282817756461592e+02 1.506690451671515e-15 5e+1 6.2803e+2 6.2804e+2 0.02 0.03 + |