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Ian Jauslin
2023-07-24 21:33:32 -05:00
commit dfaad7aaee
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23
figs/bec_phase.fig/Makefile Normal file
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PROJECT=$(basename $(wildcard *.gnuplot))
all: $(addsuffix .pdf, $(PROJECT))
define gnuplot2pdf
gnuplot $(1).gnuplot > $(1).tikz.tex
pdflatex -jobname $(1) -file-line-error $(1).tikz.tex
endef
bec_phase.pdf:
$(call gnuplot2pdf, $(basename $@))
clean-aux:
rm -f $(addsuffix .tikz.tex, $(PROJECT))
rm -f *.aux *.log
clean-dat:
rm -f phase_boundary.dat
clean-pdf:
rm -f $(addsuffix .pdf, $(PROJECT))
clean: clean-aux clean-pdf

32
figs/bec_phase.fig/bec_phase.gnuplot Normal file
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set ylabel "$\\rho_m\\ (\\mathrm{g}/\\mathrm{cm}^3)$"
set xlabel "$T\\ (\\mathrm{K})$"
set xrange[0:300]
set yrange [0:20]
# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 12.5,8.75 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 style line 6 linetype rgbcolor "#000000" linewidth 3
set pointsize 0.6
set label "\\bf BEC" at 10,10 front textcolor "white"
set label "\\bf Gas" at 150,10 front textcolor "white"
kb=1.380649e-23
hbar=1.054571817e-34
cst=0.05864362134764442
m=1.66053906660e-27*4
plot (2*m/hbar/hbar*kb*x)**1.5*cst*m/1000 with filledcurves x2 linestyle 1 ,\
(2*m/hbar/hbar*kb*x)**1.5*cst*m/1000 with filledcurves x1 linestyle 2, \
(2*m/hbar/hbar*kb*x)**1.5*cst*m/1000 with lines linestyle 6

8
figs/condensate.fig/2020-08-27+0.5.dat Normal file
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# potential: 0.5 e^{-|x|}
# rho E 1-eta Jastrow E
1e-3 0.005189 0.978 0.005193
5e-3 0.027389 0.961 0.027395
1e-2 0.056223 0.959 0.05624
2e-2 0.11530 0.954 0.11530
1e-1 0.6037 0.953 0.60377
1e+0 6.221 0.97 6.22

37
figs/condensate.fig/Makefile Normal file
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PROJECTNAME=condensate
SIMPLESOLV= # path/to/simplesolv
DATS=simpleq.dat medeq.dat bigeq.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, $@)
simpleq.dat:
julia $(SIMPLESOLV)/main.jl -p "eq=simpleq;tolerance=1e-11;order=100;maxiter=100;v_a=0.5;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp condensate_fraction_rho > $@
medeq.dat:
julia $(SIMPLESOLV)/main.jl -p "eq=medeq;tolerance=1e-11;order=100;maxiter=100;v_a=0.5;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp condensate_fraction_rho > $@
bigeq.dat:
julia -p 8 $(SIMPLESOLV)/main.jl -p "eq=bigeq;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;v_a=0.5;minlrho=-6;nlrho=100;maxlrho=2" -M anyeq -U exp condensate_fraction_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

100
figs/condensate.fig/bigeq.dat Normal file
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@ -0,0 +1,100 @@
1.000000000000000e-06 9.359600849904642e-04 4.769492271009877e-12
1.204503540258781e-06 1.026263695589573e-03 3.419474268720360e-12
1.450828778495940e-06 1.128447423932415e-03 1.284844855728227e-12
1.747528400007683e-06 1.243211901088135e-03 6.036870814265909e-14
2.104904144512022e-06 1.371540352505089e-03 1.465826916259999e-12
2.535364493970111e-06 1.514563172953764e-03 5.278911635708756e-12
3.053855508833412e-06 1.673162936456016e-03 6.438854837197395e-12
3.678379771828634e-06 1.847621600906275e-03 3.277884092656937e-12
4.430621457583877e-06 2.037906626012430e-03 6.922442639580641e-13
5.336699231206313e-06 2.244403765508714e-03 4.301594724689213e-14
6.428073117284319e-06 2.468275249347463e-03 3.149478739794029e-14
7.742636826811277e-06 2.711300000206942e-03 1.692972150200860e-14
9.326033468832200e-06 2.975586773983234e-03 2.485257044540253e-14
1.123324032978027e-05 3.263387610365739e-03 5.798705939542849e-14
1.353047774579808e-05 3.577021358160436e-03 1.007850792994357e-13
1.629750834620643e-05 3.918861287982854e-03 1.180879418675055e-13
1.963040650040272e-05 4.291351386383927e-03 1.164548699163096e-13
2.364489412645407e-05 4.697030635602372e-03 9.993404840576712e-14
2.848035868435805e-05 5.138553215636342e-03 7.889857713883516e-14
3.430469286314919e-05 5.618698153738680e-03 5.544933866100784e-14
4.132012400115334e-05 6.140366567754929e-03 3.505040625564625e-14
4.977023564332114e-05 6.706568098963386e-03 2.719353007326749e-14
5.994842503189409e-05 7.320399534465997e-03 2.419046911428554e-14
7.220809018385471e-05 7.985017865199253e-03 2.911321693643152e-14
8.697490026177834e-05 8.703608059981844e-03 1.665264019357716e-14
1.047615752789665e-04 9.479343964932427e-03 1.735486882457866e-14
1.261856883066021e-04 1.031533974401874e-02 1.231730471561613e-14
1.519911082952935e-04 1.121458911634652e-02 1.063694582767876e-14
1.830738280295370e-04 1.217988982497501e-02 2.605952558828706e-14
2.205130739903046e-04 1.321375095073367e-02 1.948459628184608e-14
2.656087782946686e-04 1.431828101890961e-02 2.204861946752505e-14
3.199267137797384e-04 1.549505586477500e-02 3.187650388653336e-14
3.853528593710532e-04 1.674496732600098e-02 3.041558319770699e-14
4.641588833612782e-04 1.806805674261242e-02 3.132688775353608e-14
5.590810182512228e-04 1.946333993043477e-02 3.849130191836202e-14
6.734150657750828e-04 2.092863160214499e-02 5.858344140792253e-14
8.111308307896872e-04 2.246037686139622e-02 8.179691054969686e-14
9.770099572992256e-04 2.405349636533224e-02 1.097457892783796e-13
1.176811952434999e-03 2.570125163577371e-02 1.510104805632382e-13
1.417474162926806e-03 2.739513888148153e-02 2.017323906157568e-13
1.707352647470692e-03 2.912482328833103e-02 2.635554179184661e-13
2.056512308348653e-03 3.087812926296352e-02 3.398621654197443e-13
2.477076355991711e-03 3.264110309962052e-02 4.285413087823841e-13
2.983647240283340e-03 3.439816133650226e-02 5.302517700005698e-13
3.593813663804629e-03 3.613233114795761e-02 6.403992903217449e-13
4.328761281083062e-03 3.782558079607085e-02 7.571924192093096e-13
5.214008287999690e-03 3.945923077971335e-02 8.735665611670509e-13
6.280291441834260e-03 4.101443056577509e-02 9.852419079005244e-13
7.564633275546291e-03 4.247268081094784e-02 1.086591967833584e-12
9.111627561154896e-03 4.381637597402372e-02 1.171028110980761e-12
1.097498765493057e-02 4.502933773539811e-02 1.235182529056386e-12
1.321941148466031e-02 4.609730735888347e-02 1.273413495244793e-12
1.592282793341094e-02 4.700836649313180e-02 1.288870490747045e-12
1.917910261672489e-02 4.775326110412755e-02 1.277774794460160e-12
2.310129700083163e-02 4.832561126937697e-02 1.245436832753992e-12
2.782559402207126e-02 4.872199901018250e-02 1.194094596784815e-12
3.351602650938848e-02 4.894193587141005e-02 1.129149381775895e-12
4.037017258596558e-02 4.898772053354203e-02 1.056418952921306e-12
4.862601580065354e-02 4.886420356210291e-02 9.797825696635614e-13
5.857020818056673e-02 4.857848093382484e-02 9.036039641219436e-13
7.054802310718646e-02 4.813954002928141e-02 8.309184154224132e-13
8.497534359086456e-02 4.755788150120432e-02 7.632736986718884e-13
1.023531021899027e-01 4.684513825031006e-02 7.009835850851132e-13
1.232846739442068e-01 4.601370925687214e-02 6.445926849679039e-13
1.484968262254467e-01 4.507642184667945e-02 5.938594915648704e-13
1.788649529057435e-01 4.404623166683212e-02 5.471692016966516e-13
2.154434690031887e-01 4.293596563723694e-02 5.037037371246892e-13
2.595024211399737e-01 4.175810970901533e-02 4.628803528432183e-13
3.125715849688241e-01 4.052464054410850e-02 4.243706234593440e-13
3.764935806792471e-01 3.924689825998715e-02 3.870128277902043e-13
4.534878508128591e-01 3.793549610670589e-02 3.506993848968064e-13
5.462277217684348e-01 3.660026225836260e-02 3.158617612429666e-13
6.579332246575682e-01 3.525020868323555e-02 2.820376102788483e-13
7.924828983539185e-01 3.389352218106337e-02 2.495811928366868e-13
9.545484566618347e-01 3.253757302873513e-02 2.187355418163057e-13
1.149756995397738e+00 3.118893716272646e-02 1.896018293540065e-13
1.384886371393875e+00 2.985342837493234e-02 1.627002158331657e-13
1.668100537200059e+00 2.853613755533530e-02 1.381782671776070e-13
2.009233002565050e+00 2.724147654488262e-02 1.162433870344956e-13
2.420128264794383e+00 2.597322464354741e-02 9.667411489592391e-14
2.915053062825182e+00 2.473457624087447e-02 7.921718375131266e-14
3.511191734215135e+00 2.352818839610205e-02 6.467146452368413e-14
4.229242874389508e+00 2.235622749416585e-02 5.197716963886527e-14
5.094138014816386e+00 2.122041434752589e-02 4.164284351060715e-14
6.135907273413176e+00 2.012206730828386e-02 3.267501010541636e-14
7.390722033525790e+00 1.906214310748888e-02 2.631758984864249e-14
8.902150854450392e+00 1.804127525584338e-02 1.984138301410465e-14
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1.555676143930475e+01 1.521523252238974e-02 9.222802498318025e-15
1.873817422860387e+01 1.435166393772974e-02 7.775425060459825e-15
2.257019719633922e+01 1.352663941296484e-02 5.807567740486978e-15
2.718588242732946e+01 1.273952010501215e-02 5.266597955329656e-15
3.274549162877732e+01 1.198954425222880e-02 4.772515936081468e-15
3.944206059437664e+01 1.127584695317193e-02 4.990759746751970e-15
4.750810162102803e+01 1.059747807695462e-02 4.465420870908758e-15
5.722367659350220e+01 9.953418424741895e-03 5.050460646392378e-15
6.892612104349709e+01 9.342594259386548e-03 4.878151124718388e-15
8.302175681319753e+01 8.763890317430715e-03 6.408523490975994e-15
1.000000000000000e+02 8.216161414267099e-03 7.308726309426102e-15

41
figs/condensate.fig/condensate.gnuplot Normal file
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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 [4e-8:100]
set yrange [:0.06]
# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone
set key top left box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
# set linestyle
set style line 1 linetype rgbcolor "#4169E1" linewidth 2 dashtype "."
set style line 2 linetype rgbcolor "#DC143C" linewidth 2
set style line 3 linetype rgbcolor "#32CD32" linewidth 2 dashtype "-"
set style line 4 linetype rgbcolor "#4B0082" linewidth 2
set style line 5 linetype rgbcolor "#DAA520" linewidth 2
set style line 6 linetype rgbcolor "#999999" linewidth 1.5 dashtype (1,5)
set pointsize 1
set logscale x
a=0.7666858699084325
plot \
"simpleq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 1 title "simple",\
"medeq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 3 title "med",\
"bigeq.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 5 title "big",\
"2020-08-27+0.5.dat" using 1:(1-$3) with points ls 2 title "QMC" ,\
8./(3*sqrt(pi))*sqrt(x*a**3) ls 6 title "Bog"

100
figs/condensate.fig/medeq.dat Normal file
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@ -0,0 +1,100 @@
1.000000000000000e-06 9.996791129944504e-04 2.557931963013874e-14
1.204503540258781e-06 1.096049436651035e-03 1.355586210122227e-14
1.450828778495940e-06 1.201592925494163e-03 1.225664725981035e-14
1.747528400007683e-06 1.317158886205431e-03 1.598257741770033e-14
2.104904144512022e-06 1.443670377419786e-03 1.553247893694121e-14
2.535364493970111e-06 1.582129599439783e-03 2.230882620498033e-14
3.053855508833412e-06 1.733623466010337e-03 1.130567634193424e-14
3.678379771828634e-06 1.899329292079710e-03 9.168136807150408e-15
4.430621457583877e-06 2.080520546462278e-03 8.941527845815565e-15
5.336699231206313e-06 2.278572579850316e-03 1.057140657470087e-14
6.428073117284319e-06 2.494968213624501e-03 1.682809007854741e-14
7.742636826811277e-06 2.731303057010942e-03 2.158235509128861e-14
9.326033468832200e-06 2.989290379430286e-03 1.790773201737819e-14
1.123324032978027e-05 3.270765323019602e-03 8.353808266989640e-15
1.353047774579808e-05 3.577688205084459e-03 1.537411550943667e-14
1.629750834620643e-05 3.912146595755733e-03 2.046675609084057e-14
1.963040650040272e-05 4.276355807866374e-03 1.041375984263633e-14
2.364489412645407e-05 4.672657361346675e-03 9.442898908309776e-15
2.848035868435805e-05 5.103514918385979e-03 2.177252388925799e-14
3.430469286314919e-05 5.571507106520763e-03 1.355385365967878e-14
4.132012400115334e-05 6.079316564191177e-03 1.722006710295469e-14
4.977023564332114e-05 6.629714464411829e-03 2.564684275801428e-14
5.994842503189409e-05 7.225539694523696e-03 2.554501333168433e-14
7.220809018385471e-05 7.869671803804573e-03 1.695787882394503e-14
8.697490026177834e-05 8.564996782016131e-03 2.658873849714075e-14
1.047615752789665e-04 9.314364714811455e-03 1.779936391415356e-14
1.261856883066021e-04 1.012053838540738e-02 1.064230135425228e-14
1.519911082952935e-04 1.098613197565795e-02 1.050862880239978e-14
1.830738280295370e-04 1.191353918034108e-02 1.040613731113704e-14
2.205130739903046e-04 1.290485030633865e-02 2.586423292095546e-14
2.656087782946686e-04 1.396175830412725e-02 7.930149545878445e-15
3.199267137797384e-04 1.508545419022795e-02 1.499526619451621e-14
3.853528593710532e-04 1.627651297921249e-02 1.342770747306005e-14
4.641588833612782e-04 1.753477205586265e-02 1.023634881457026e-14
5.590810182512228e-04 1.885920487130150e-02 2.765339435610944e-14
6.734150657750828e-04 2.024779391078134e-02 2.653388108030865e-14
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1.176811952434999e-03 2.476096276850066e-02 2.631955909658123e-14
1.417474162926806e-03 2.636215887515920e-02 4.192924768382370e-14
1.707352647470692e-03 2.799878596045715e-02 4.649229473307887e-14
2.056512308348653e-03 2.966093162880884e-02 6.191374939655213e-14
2.477076355991711e-03 3.133731692136629e-02 7.068211838210129e-14
2.983647240283340e-03 3.301540258494108e-02 7.718681628555673e-14
3.593813663804629e-03 3.468155073934840e-02 9.014213841818372e-14
4.328761281083062e-03 3.632124130749526e-02 9.213412330662208e-14
5.214008287999690e-03 3.791933902058761e-02 9.925880092027974e-14
6.280291441834260e-03 3.946040313698177e-02 9.578046008585107e-14
7.564633275546291e-03 4.092902858078346e-02 9.882381245478129e-14
9.111627561154896e-03 4.231020439338591e-02 9.583441188473053e-14
1.097498765493057e-02 4.358967353465550e-02 9.098040840969979e-14
1.321941148466031e-02 4.475427741179566e-02 9.678591042746094e-14
1.592282793341094e-02 4.579226915716316e-02 9.326011061107550e-14
1.917910261672489e-02 4.669358156904567e-02 7.331622846406362e-14
2.310129700083163e-02 4.745003857001830e-02 1.004886478194426e-13
2.782559402207126e-02 4.805550270779536e-02 1.626260746562471e-13
3.351602650938848e-02 4.850595523928645e-02 9.884079547955751e-14
4.037017258596558e-02 4.879950930719656e-02 4.899835384093640e-14
4.862601580065354e-02 4.893636029209755e-02 1.158300702496511e-13
5.857020818056673e-02 4.891868033797851e-02 1.404794135720631e-13
7.054802310718646e-02 4.875046614785260e-02 1.193502330145474e-13
8.497534359086456e-02 4.843735037753481e-02 7.734701506796261e-14
1.023531021899027e-01 4.798638736345803e-02 1.367368238191298e-13
1.232846739442068e-01 4.740582361759487e-02 1.353051430921332e-13
1.484968262254467e-01 4.670486266467164e-02 1.832731817846543e-13
1.788649529057435e-01 4.589343255502206e-02 3.066390750316590e-14
2.154434690031887e-01 4.498196292580856e-02 6.517966790521386e-14
2.595024211399737e-01 4.398117694794734e-02 2.857300074064858e-13
3.125715849688241e-01 4.290190200047433e-02 6.057279032265316e-14
3.764935806792471e-01 4.175490154059995e-02 2.150561858500172e-13
4.534878508128591e-01 4.055072943826252e-02 2.334716001099137e-13
5.462277217684348e-01 3.929960704428494e-02 1.688305245302381e-13
6.579332246575682e-01 3.801132246640253e-02 1.257445370556883e-13
7.924828983539185e-01 3.669515092787165e-02 8.482067596460347e-14
9.545484566618347e-01 3.535979465988242e-02 6.260799489717194e-14
1.149756995397738e+00 3.401334050728797e-02 1.388898699470944e-13
1.384886371393875e+00 3.266323328114151e-02 5.217375800077936e-14
1.668100537200059e+00 3.131626284552911e-02 1.058532162705175e-13
2.009233002565050e+00 2.997856295680849e-02 1.183201106668820e-13
2.420128264794383e+00 2.865561995980962e-02 1.916282323021867e-13
2.915053062825182e+00 2.735228957047526e-02 2.401075615256400e-13
3.511191734215135e+00 2.607282012357442e-02 6.768342085868621e-14
4.229242874389508e+00 2.482088082609937e-02 4.427738166642347e-14
5.094138014816386e+00 2.359959372331891e-02 6.448026250099959e-14
6.135907273413176e+00 2.241156824856846e-02 4.785349542559038e-14
7.390722033525790e+00 2.125893738534662e-02 3.832227225640614e-14
8.902150854450392e+00 2.014339461795944e-02 5.051785040371460e-14
1.072267222010325e+01 1.906623098298113e-02 3.342852165598801e-14
1.291549665014885e+01 1.802837165716611e-02 3.021999189499210e-14
1.555676143930475e+01 1.703041162783852e-02 3.517218008665782e-14
1.873817422860387e+01 1.607265008934711e-02 2.779265483678629e-14
2.257019719633922e+01 1.515512329437188e-02 3.661072404698132e-14
2.718588242732946e+01 1.427763566252462e-02 2.505773910434884e-14
3.274549162877732e+01 1.343978901163045e-02 2.646428876071254e-14
3.944206059437664e+01 1.264100983004557e-02 3.041915433078313e-14
4.750810162102803e+01 1.188057455279659e-02 3.427011953168885e-14
5.722367659350220e+01 1.115763284061530e-02 1.462980764856655e-14
6.892612104349709e+01 1.047122889035441e-02 1.703446938372462e-14
8.302175681319753e+01 9.820320828790861e-03 1.204047088593689e-14
1.000000000000000e+02 9.203798259569440e-03 1.635211949437703e-14

100
figs/condensate.fig/simpleq.dat Normal file
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@ -0,0 +1,100 @@
1.000000000000000e-06 9.996424492413445e-04 1.764759176311575e-14
1.204503540258781e-06 1.096001013555385e-03 1.360330251518952e-14
1.450828778495940e-06 1.201528977296280e-03 1.511853126044587e-14
1.747528400007683e-06 1.317074443462207e-03 1.398012403932306e-14
2.104904144512022e-06 1.443558883983310e-03 1.174135635838584e-14
2.535364493970111e-06 1.581982409476399e-03 1.181166625368473e-14
3.053855508833412e-06 1.733429176972252e-03 9.520703346967522e-15
3.678379771828634e-06 1.899072870049523e-03 1.477199840405002e-14
4.430621457583877e-06 2.080182180878662e-03 1.555717915012738e-14
5.336699231206313e-06 2.278126167047934e-03 1.273777677157719e-14
6.428073117284319e-06 2.494379372804907e-03 3.605743526003532e-14
7.742636826811277e-06 2.730526524861480e-03 1.273126964384903e-14
9.326033468832200e-06 2.988266590984414e-03 1.179431416269387e-14
1.123324032978027e-05 3.269415931338325e-03 3.009912003938589e-14
1.353047774579808e-05 3.575910216030217e-03 1.579076143644659e-14
1.629750834620643e-05 3.909804697962793e-03 3.730268686545136e-14
1.963040650040272e-05 4.273272355038325e-03 1.470889658974739e-14
2.364489412645407e-05 4.668599307299607e-03 9.145997557683504e-15
2.848035868435805e-05 5.098176805219534e-03 8.754476215748694e-15
3.430469286314919e-05 5.564488954016774e-03 3.422903494299122e-14
4.132012400115334e-05 6.070095190679457e-03 1.385647031053645e-14
4.977023564332114e-05 6.617606375004298e-03 2.379884179398437e-14
5.994842503189409e-05 7.209653182792970e-03 1.163784247112438e-14
7.220809018385471e-05 7.848845316025112e-03 1.366179095989315e-14
8.697490026177834e-05 8.537719871613364e-03 3.724398029631456e-14
1.047615752789665e-04 9.278677057124136e-03 2.637784295161166e-14
1.261856883066021e-04 1.007390132322578e-02 2.875290168691377e-14
1.519911082952935e-04 1.092526592922949e-02 9.550015107655818e-15
1.830738280295370e-04 1.183421900407458e-02 1.556938853519043e-14
2.205130739903046e-04 1.280164935858642e-02 1.133497198439562e-14
2.656087782946686e-04 1.382773070471037e-02 2.102757238598711e-14
3.199267137797384e-04 1.491174361453737e-02 1.747385725694730e-14
3.853528593710532e-04 1.605187558858611e-02 3.503968870559619e-14
4.641588833612782e-04 1.724500108618770e-02 2.577675521047174e-14
5.590810182512228e-04 1.848644538752444e-02 2.633781063728848e-14
6.734150657750828e-04 1.976973877688861e-02 5.765008312068870e-14
8.111308307896872e-04 2.108637079535263e-02 5.002689197753296e-14
9.770099572992256e-04 2.242555818087449e-02 4.549652970901848e-14
1.176811952434999e-03 2.377404447180944e-02 6.074569458022591e-14
1.417474162926806e-03 2.511595383967233e-02 7.470825186502400e-14
1.707352647470692e-03 2.643272611340524e-02 9.450916280070913e-14
2.056512308348653e-03 2.770316353956248e-02 1.410077534930732e-13
2.477076355991711e-03 2.890362176935628e-02 1.423716131544454e-13
2.983647240283340e-03 3.000837688190761e-02 1.595493501115812e-13
3.593813663804629e-03 3.099019585668598e-02 1.806286227436093e-13
4.328761281083062e-03 3.182112875076496e-02 1.949041586584519e-13
5.214008287999690e-03 3.247352610820262e-02 2.075376358361723e-13
6.280291441834260e-03 3.292126450953487e-02 2.097280315607298e-13
7.564633275546291e-03 3.314113712774110e-02 2.102377272944846e-13
9.111627561154896e-03 3.311433626998512e-02 2.048093670216979e-13
1.097498765493057e-02 3.282792412885498e-02 1.821161001879597e-13
1.321941148466031e-02 3.227616088890418e-02 1.641674569369241e-13
1.592282793341094e-02 3.146154192774165e-02 1.642471936112894e-13
1.917910261672489e-02 3.039539490386634e-02 1.077017630747162e-13
2.310129700083163e-02 2.909790920429372e-02 1.042858235956985e-13
2.782559402207126e-02 2.759751788973380e-02 7.313497091246187e-14
3.351602650938848e-02 2.592962395397779e-02 1.117243155569794e-13
4.037017258596558e-02 2.413474933889352e-02 3.786523359460530e-14
4.862601580065354e-02 2.225627088953894e-02 9.763534810219167e-14
5.857020818056673e-02 2.033797305146236e-02 1.393944774363172e-13
7.054802310718646e-02 1.842167577708929e-02 1.290640226679569e-13
8.497534359086456e-02 1.654517954574511e-02 4.239297011558011e-14
1.023531021899027e-01 1.474071139272134e-02 3.350303133819670e-14
1.232846739442068e-01 1.303397115319994e-02 2.127029298452714e-14
1.484968262254467e-01 1.144378625612702e-02 1.298865572632030e-13
1.788649529057435e-01 9.982305675311789e-03 4.628798108219644e-14
2.154434690031887e-01 8.655611739259588e-03 6.397932094160475e-14
2.595024211399737e-01 7.464606327886387e-03 2.423414069966775e-14
3.125715849688241e-01 6.406031898422801e-03 3.322679851805106e-14
3.764935806792471e-01 5.473509731319831e-03 7.851470577498406e-14
4.534878508128591e-01 4.658508680724053e-03 4.204308511778128e-14
5.462277217684348e-01 3.951189863400293e-03 8.182090425997793e-14
6.579332246575682e-01 3.341100968666214e-03 1.367949706889028e-14
7.924828983539185e-01 2.817715655193649e-03 3.130105820855755e-14
9.545484566618347e-01 2.370828286066013e-03 4.068933970043888e-14
1.149756995397738e+00 1.990822788966108e-03 1.175966182104011e-14
1.384886371393875e+00 1.668838066159566e-03 5.973905268190146e-14
1.668100537200059e+00 1.396852592590819e-03 1.077505663391400e-13
2.009233002565050e+00 1.167708942604489e-03 9.617247230343784e-15
2.420128264794383e+00 9.750960054767535e-04 1.332892817532053e-14
2.915053062825182e+00 8.135033134750610e-04 7.070633698527270e-15
3.511191734215135e+00 6.781586746197346e-04 8.192151573803895e-15
4.229242874389508e+00 5.649574306198204e-04 2.173395402515360e-14
5.094138014816386e+00 4.703892580579609e-04 3.221397384087175e-15
6.135907273413176e+00 3.914665137901705e-04 2.465093210577484e-15
7.390722033525790e+00 3.256566560554041e-04 1.054195282267954e-13
8.902150854450392e+00 2.708201876121645e-04 1.763579120526998e-15
1.072267222010325e+01 2.251547953209304e-04 1.048264548971050e-13
1.291549665014885e+01 1.871458338265689e-04 9.947599265439233e-15
1.555676143930475e+01 1.555229594282470e-04 1.158199515173392e-15
1.873817422860387e+01 1.292225141205694e-04 9.319604832811551e-16
2.257019719633922e+01 1.073551496286977e-04 5.244863713602307e-14
2.718588242732946e+01 8.917813671942175e-05 4.169604052705751e-16
3.274549162877732e+01 7.407180357771646e-05 5.251294860012204e-14
3.944206059437664e+01 6.151957225656779e-05 5.364972970438718e-14
4.750810162102803e+01 5.109110263615562e-05 2.702282606280617e-16
5.722367659350220e+01 4.242810110983234e-05 2.445655240740449e-15
6.892612104349709e+01 3.523240116597968e-05 3.302696900260679e-16
8.302175681319753e+01 2.925597188965025e-05 9.050712276340781e-12
1.000000000000000e+02 2.429255623845345e-05 6.242595970465304e-12

15
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@ -0,0 +1,15 @@
# Potential: e^{-|x|}
# rho E E+dE eta eta+deta Jastrow E Jastrow E+dE Jastrow eta Jastrow eta+deta
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

37
figs/energy.fig/Makefile Normal file
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@ -0,0 +1,37 @@
PROJECTNAME=energy
SIMPLESOLV= # path/to/simplesolv
DATS=simpleq.dat medeq.dat bigeq.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, $@)
simpleq.dat:
julia $(SIMPLESOLV)/main.jl -p "eq=simpleq;tolerance=1e-11;order=100;maxiter=100;v_a=1;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp energy_rho > $@
medeq.dat:
julia $(SIMPLESOLV)/main.jl -p "eq=medeq;tolerance=1e-11;order=100;maxiter=100;v_a=1;minlrho=-6;nlrho=100;maxlrho=2" -M easyeq -U exp energy_rho > $@
bigeq.dat:
julia -p 8 $(SIMPLESOLV)/main.jl -p "eq=bigeq;N=12;P=8;J=10;tolerance=1e-11;maxiter=21;v_a=1;minlrho=-6;nlrho=100;maxlrho=2" -M anyeq -U exp 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

100
figs/energy.fig/bigeq.dat Normal file
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@ -0,0 +1,100 @@
1.000000000000000e-06 7.933345669932108e-06 1.704968357654747e-12
1.204503540258781e-06 9.561695772478549e-06 3.479042916950106e-13
1.450828778495940e-06 1.152494614052415e-05 1.105615828881523e-13
1.747528400007683e-06 1.389218915189634e-05 6.516057629638973e-13
2.104904144512022e-06 1.674683575161553e-05 2.538927058524327e-13
2.535364493970111e-06 2.018960215367572e-05 1.880964786680250e-14
3.053855508833412e-06 2.434212593011697e-05 2.973660811899432e-14
3.678379771828634e-06 2.935134616878758e-05 2.601027107910687e-14
4.430621457583877e-06 3.539481155461295e-05 2.963343053481389e-13
5.336699231206313e-06 4.268711577772934e-05 8.111082866158586e-13
6.428073117284319e-06 5.148770312835425e-05 1.258065696556162e-12
7.742636826811277e-06 6.211034042585299e-05 1.460046719339352e-12
9.326033468832200e-06 7.493461690987080e-05 1.403493327361502e-12
1.123324032978027e-05 9.041991424013260e-05 1.190931394710978e-12
1.353047774579808e-05 1.091223876997595e-04 9.122943906836504e-13
1.629750834620643e-05 1.317156211714737e-04 6.270289167996145e-13
1.963040650040272e-05 1.590157675195849e-04 3.932273380946167e-13
2.364489412645407e-05 1.920121690316943e-04 2.176631964805619e-13
2.848035868435805e-05 2.319046775947738e-04 1.026358506480137e-13
3.430469286314919e-05 2.801491713026256e-04 4.446534105626415e-14
4.132012400115334e-05 3.385131054920545e-04 4.144974620326791e-14
4.977023564332114e-05 4.091433566527190e-04 2.207980896760987e-14
5.994842503189409e-05 4.946491352779899e-04 4.572485754229845e-14
7.220809018385471e-05 5.982033804561970e-04 6.770202411898077e-14
8.697490026177834e-05 7.236668315738020e-04 8.932369095090413e-14
1.047615752789665e-04 8.757399333684964e-04 1.182248084569074e-13
1.261856883066021e-04 1.060148908761868e-03 1.344231243816312e-13
1.519911082952935e-04 1.283873775901215e-03 1.493216888971958e-13
1.830738280295370e-04 1.555427846566146e-03 1.699458131695914e-13
2.205130739903046e-04 1.885200386765900e-03 2.059019619099669e-13
2.656087782946686e-04 2.285876721564974e-03 2.649891700928507e-13
3.199267137797384e-04 2.772953210497389e-03 3.620701665273268e-13
3.853528593710532e-04 3.365368304619666e-03 4.982472417338292e-13
4.641588833612782e-04 4.086275430706575e-03 6.801465168364811e-13
5.590810182512228e-04 4.963988854528130e-03 9.137218648090623e-13
6.734150657750828e-04 6.033140090007556e-03 1.205112818608528e-12
8.111308307896872e-04 7.336089997726976e-03 1.568949512234829e-12
9.770099572992256e-04 8.924650630547374e-03 2.015537944839303e-12
1.176811952434999e-03 1.086218134368278e-02 2.551669271262342e-12
1.417474162926806e-03 1.322613594632949e-02 3.175541504984204e-12
1.707352647470692e-03 1.611115205690737e-02 3.882570582394582e-12
2.056512308348653e-03 1.963279076107542e-02 4.659084950581694e-12
2.477076355991711e-03 2.393205473004278e-02 5.480860359934871e-12
2.983647240283340e-03 2.918083689398976e-02 6.316773798635380e-12
3.593813663804629e-03 3.558848057549190e-02 7.128689280361588e-12
4.328761281083062e-03 4.340966694307487e-02 7.877742721930180e-12
5.214008287999690e-03 5.295388832723841e-02 8.538097040660639e-12
6.280291441834260e-03 6.459681825795255e-02 9.099882246799092e-12
7.564633275546291e-03 7.879395326961169e-02 9.571289375001028e-12
9.111627561154896e-03 9.609698014020246e-02 9.973223641678962e-12
1.097498765493057e-02 1.171734181893564e-01 5.721422548997492e-15
1.321941148466031e-02 1.428302028457424e-01 2.220152020103125e-15
1.592282793341094e-02 1.740420176882147e-01 3.826728826701929e-15
1.917910261672489e-02 2.119853520055517e-01 2.868300139436348e-15
2.310129700083163e-02 2.580794649360160e-01 7.610004429207492e-15
2.782559402207126e-02 3.140356819487004e-01 6.059675090044115e-15
3.351602650938848e-02 3.819167428256006e-01 3.079883529777644e-15
4.037017258596558e-02 4.642082722623484e-01 5.845027410285226e-15
4.862601580065354e-02 5.639048668198076e-01 3.816993895235883e-15
5.857020818056673e-02 6.846137999573778e-01 3.474232903786021e-15
7.054802310718646e-02 8.306799580954581e-01 4.088512836639771e-15
8.497534359086456e-02 1.007336356586333e+00 3.416440773537374e-15
1.023531021899027e-01 1.220885470968219e+00 3.150210853153027e-15
1.232846739442068e-01 1.478917686986172e+00 2.371648956613387e-15
1.484968262254467e-01 1.790574459885084e+00 2.131970502004566e-15
1.788649529057435e-01 2.166865324247355e+00 1.071205796436568e-15
2.154434690031887e-01 2.621049764085537e+00 9.990417291453287e-12
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4.534878508128591e-01 5.589213151008605e+00 6.847954951876310e-12
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6.579332246575682e-01 8.146117547346687e+00 5.306471340562747e-12
7.924828983539185e-01 9.830678245708585e+00 4.598704413056710e-12
9.545484566618347e-01 1.186094397111715e+01 3.945605710986110e-12
1.149756995397738e+00 1.430763664633719e+01 3.351869307817862e-12
1.384886371393875e+00 1.725593895734062e+01 2.820957127030768e-12
1.668100537200059e+00 2.080845162887957e+01 2.352147114974057e-12
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2.915053062825182e+00 3.645858099358198e+01 1.293588310581549e-12
3.511191734215135e+00 4.394334600051280e+01 1.042306124720846e-12
4.229242874389508e+00 5.296011151374482e+01 8.333799477286008e-13
5.094138014816386e+00 6.382218443728761e+01 6.605722153418092e-13
6.135907273413176e+00 7.690694209247896e+01 5.199590335170479e-13
7.390722033525790e+00 9.266893489306236e+01 4.063068137082775e-13
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1.072267222010325e+01 1.345266139156320e+02 2.426172104464820e-13
1.291549665014885e+01 1.620761041088648e+02 1.855737958789898e-13
1.555676143930475e+01 1.952609146057077e+02 1.407488425834523e-13
1.873817422860387e+01 2.352334832362353e+02 1.059912258811251e-13
2.257019719633922e+01 2.833819239247995e+02 7.975496994680734e-14
2.718588242732946e+01 3.413782233614627e+02 5.927022309304956e-14
3.274549162877732e+01 4.112362940653811e+02 4.383487153196387e-14
3.944206059437664e+01 4.953818995066683e+02 3.264119493319829e-14
4.750810162102803e+01 5.967368791641958e+02 2.438476380986774e-14
5.722367659350220e+01 7.188205979063790e+02 1.780368664039960e-14
6.892612104349709e+01 8.658721421294766e+02 1.399123723605710e-14
8.302175681319753e+01 1.042997505438325e+03 1.067384124266308e-14
1.000000000000000e+02 1.256346874319010e+03 8.538692087201394e-15

41
figs/energy.fig/energy.gnuplot Normal file
View File

@ -0,0 +1,41 @@
set title ""
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 xrange [0.000001:100]
set ytics 8, 1, 13
set mytics 2
set yrange [7.5:13]
# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone
set key bottom right box linetype rgbcolor"#999999" width 0.3 height 0.3 spacing 1.3
# set linestyle
set style line 1 linetype rgbcolor "#4169E1" linewidth 2 dashtype "."
set style line 2 linetype rgbcolor "#DC143C" linewidth 2
set style line 3 linetype rgbcolor "#32CD32" linewidth 2 dashtype "-"
set style line 4 linetype rgbcolor "#4B0082" linewidth 2
set style line 5 linetype rgbcolor "#DAA520" linewidth 2
set style line 6 linetype rgbcolor "#999999" linewidth 1.5 dashtype (1,5)
set pointsize 1
set logscale x
a=1.2543564105910647
plot \
"simpleq.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 1 title "simple" ,\
"medeq.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 3 title "med",\
"bigeq.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 5 title "big",\
"2020-10-15+energy.dat" using 1:($2/$1) with points ls 2 title "QMC" ,\
2*pi*a*(1+128./(15*sqrt(pi))*sqrt(x*a**3)) ls 6 title "LHY"

100
figs/energy.fig/medeq.dat Normal file
View File

@ -0,0 +1,100 @@
1.000000000000000e-06 7.934286257047021e-06 3.350843411796514e-14
1.204503540258781e-06 9.563044082528665e-06 2.273624432538743e-14
1.450828778495940e-06 1.152686262633478e-05 1.298430519766377e-14
1.747528400007683e-06 1.389489317614862e-05 1.894777566363843e-14
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1.000000000000000e+02 1.256345425056825e+03 2.310603796838004e-14

100
figs/energy.fig/simpleq.dat Normal file
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@ -0,0 +1,100 @@
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