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Ian Jauslin
2020-11-25 01:10:59 -05:00
commit 19042107cb
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43
figs/condensate.fig/Makefile Normal file
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PROJECTNAME=condensate16 condensate05
SIMPLEQ=simpleq
DATS=simpleq16.dat mueq16.dat bigeq16.dat simpleq0.5.dat mueq0.5.dat bigeq0.5.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_rho > $@
mueq16.dat:
julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=16" -M mueq condensate_fraction_rho > $@
bigeq16.dat:
julia -p 8 $(SIMPLEQ)/main.jl -p "eq=bigeq;N=12;P=8;v_a=16" -M medeq condensate_fraction_rho > $@
simpleq0.5.dat:
julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=0.5" -M simpleq condensate_fraction_rho > $@
mueq0.5.dat:
julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=0.5" -M mueq condensate_fraction_rho > $@
bigeq0.5.dat:
julia -p 8 $(SIMPLEQ)/main.jl -p "eq=bigeq;N=12;P=8;v_a=0.5" -M medeq 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

37
figs/condensate.fig/condensate05.gnuplot Normal file
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set ylabel "$\\tilde\\eta$" 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-7:100]
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 pointsize 1
set logscale x
plot \
"simpleq0.5.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 1 title "simple",\
"mueq0.5.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 3 title "med",\
"bigeq0.5.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"

36
figs/condensate.fig/condensate16.gnuplot Normal file
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set ylabel "$\\tilde\\eta$" 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 [1e-7:100]
# 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 pointsize 1
set logscale x
plot \
"simpleq16.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 1 title "simple",\
"mueq16.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 3 title "med",\
"bigeq16.dat" using 1:($3<1e-5 ? $2 : 1/0) with lines ls 5 title "big",\
"2020-08-27+16.dat" using 1:(1-$3) with points ls 2 title "QMC"

43
figs/correlation.fig/Makefile Normal file
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PROJECTNAME=correlation0001 correlation02
SIMPLEQ=simpleq
DATS=bigeq02.dat mueq02.dat simpleq02.dat bigeq0001.dat simpleq0001.dat mueq0001.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, $@)
simpleq0001.dat:
julia $(SIMPLEQ)/main.jl -p "rho=1e-4;minlrho=-6;nlrho=20;eq=simpleq;N=12;P=8;xmax=55" -M medeq 2pt > $@
mueq0001.dat:
julia $(SIMPLEQ)/main.jl -p "rho=1e-4;minlrho=-6;nlrho=20;eq=mueq;N=12;P=8;xmax=55" -M medeq 2pt > $@
bigeq0001.dat:
julia $(SIMPLEQ)/main.jl -p "rho=1e-4;minlrho=-6;nlrho=20;v_a=16;eq=bigeq;N=12;P=8;xmax=55" -M medeq 2pt > $@
simpleq02.dat:
julia $(SIMPLEQ)/main.jl -p "rho=2e-2;minlrho=-6;nlrho=60;eq=simpleq;N=12;P=8;xmax=10" -M medeq 2pt > $@
mueq02.dat:
julia $(SIMPLEQ)/main.jl -p "rho=2e-2;minlrho=-6;nlrho=60;eq=mueq;N=12;P=8;xmax=10" -M medeq 2pt > $@
bigeq02.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

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figs/correlation.fig/correlation0001.gnuplot Normal file
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set title "$\\rho=0.0001$"
set ylabel "$\\frac{\\tilde C_2}{\\rho^2}$" norotate offset -1,0
set xlabel "$|\\mathbf x|$"
# 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 1
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 "#555500" linewidth 2
set pointsize 0.5
rho=1e-4
plot \
"simpleq0001.dat" using 1:($2/rho**2) with lines ls 1 title "simple",\
"mueq0001.dat" using 1:($2/rho**2) with lines ls 3 title "med",\
"bigeq0001.dat" using 1:($2/rho**2) with lines ls 5 title "big",\
"2020-10-01+correlation16-0001.dat" using 1:2 ls 2 title "QMC"

28
figs/correlation.fig/correlation02.gnuplot Normal file
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set title "$\\rho=0.02$"
set ylabel "$\\frac{\\tilde C_2}{\\rho^2}$" norotate offset -1,0
set xlabel "$|\\mathbf x|$"
# 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 1
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 "#555500" linewidth 2
set pointsize 0.5
rho=2e-2
plot \
"simpleq02.dat" using 1:($2/rho**2) with lines ls 1 title "simple",\
"mueq02.dat" using 1:($2/rho**2) with lines ls 3 title "med",\
"bigeq02.dat" using 1:($2/rho**2) with lines ls 5 title "big",\
"2020-08-27+correlation.dat" using 1:2 ls 2 title "QMC"

43
figs/energy.fig/Makefile Normal file
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PROJECTNAME=energy16 energy1
SIMPLEQ=simpleq
DATS=simpleq16.dat mueq16.dat bigeq16.dat 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, $@)
simpleq16.dat:
julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=16" -M simpleq energy_rho > $@
mueq16.dat:
julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=16" -M mueq energy_rho > $@
bigeq16.dat:
julia -p 8 $(SIMPLEQ)/main.jl -p "eq=bigeq;N=12;P=8;v_a=16" -M medeq energy_rho > $@
simpleq1.dat:
julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=1" -M simpleq energy_rho > $@
mueq1.dat:
julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=1" -M mueq energy_rho > $@
bigeq1.dat:
julia -p 8 $(SIMPLEQ)/main.jl -p "eq=bigeq;N=12;P=8;v_a=1" -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

37
figs/energy.fig/energy1.gnuplot Normal file
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set title "$v(\\mathbf x)=e^{-|\\mathbf x|}$"
set ylabel "$\\displaystyle\\frac{\\tilde e}{\\rho}$" 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 pointsize 1
set logscale x
plot \
"simpleq1.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 1 title "simple" ,\
"mueq1.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 3 title "med",\
"bigeq1.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"

37
figs/energy.fig/energy16.gnuplot Normal file
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set title "$v(\\mathbf x)=16e^{-|\\mathbf x|}$"
set ylabel "$\\displaystyle\\frac{\\tilde e}{\\rho}$" 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 20, 40, 220
set mytics 2
set yrange [20:220]
# 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 pointsize 1
set logscale x
plot \
"simpleq16.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 1 title "simple",\
"mueq16.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 3 title "med",\
"bigeq16.dat" using 1:($3<1e-5 ? ($2/$1) : 1/0) with lines ls 5 title "big",\
"2020-08-27+16.dat" using 1:($2/$1) with points ls 2 title "QMC"

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figs/energy_relative_error.fig/Makefile Normal file
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PROJECTNAME=cmp_energy16 cmp_energy1
SIMPLEQ=simpleq
DATS= simpleq16.dat mueq16.dat bigeq16.dat 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, $@)
bigeq16.dat:
for rho in 1e-3 5e-3 1e-2 2e-2 1e-1 1e+0; do \
echo -n $$rho " " >> $@-tmp ;\
julia $(SIMPLEQ)/main.jl -p "eq=bigeq;N=12;P=8;J=10;maxiter=100;v_a=16;rho=$$rho;minlrho=-6;nlrho=50" -M medeq energy >> $@-tmp ;\
done
paste $@-tmp 2020-08-27+16.dat > $@
rm $@-tmp
simpleq16.dat:
for lrho in -3 -2.3010299956639813 -2 -1.6989700043360187 -1 0; do \
julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=16;minlrho=$$lrho;nlrho=1" -M simpleq energy_rho >> $@-tmp ;\
done
paste $@-tmp 2020-08-27+16.dat > $@
rm $@-tmp
mueq16.dat:
for lrho in -3 -2.3010299956639813 -2 -1.6989700043360187 -1 0; do \
julia $(SIMPLEQ)/main.jl -p "tolerance=1e-11;order=100;maxiter=100;v_a=16;minlrho=$$lrho;nlrho=1" -M mueq energy_rho >> $@-tmp ;\
done
paste $@-tmp 2020-08-27+16.dat > $@
rm $@-tmp
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

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figs/energy_relative_error.fig/cmp_energy1.gnuplot Normal file
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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-7:1e2]
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-6:1e-1]
# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone
set key bottom 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 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 title "simple" ,\
"mueq1.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) every ::1 with lp ls 3 title "med" ,\
"bigeq1.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) every ::1 with lp ls 5 title "big" ,\
"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 title "BDJ"

37
figs/energy_relative_error.fig/cmp_energy16.gnuplot Normal file
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set title "$v(\\mathbf x)=16e^{-|\\mathbf x|}$"
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 [0.000001:100]
set ytics 1e-5, 10, 1
set ytics add ("$10^{-5}$" 1e-5, "$10^{-4}$" 1e-4, "$10^{-3}$" 1e-3, "$10^{-2}$" 1e-2, "$10^{-1}$" 1e-1, "$1$" 1)
set yrange [1e-5:1]
# default output canvas size: 12.5cm x 8.75cm
set term lua tikz size 8,6 standalone
set key bottom 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 pointsize 1
set logscale xy
max(x,y)=(x>y ? x : y)
plot \
"simpleq16.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) with lp ls 1 title "simple" ,\
"mueq16.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) with lp ls 3 title "med" ,\
"bigeq16.dat" using 1:($3<1e-5 ? max(abs($2-$5)/$5,abs($2-$6)/$6) : 1/0) with lp ls 5 title "big" ,\
"2020-08-27+16.dat" using 1:(max(max(abs($6-$2)/$2,abs($6-$3)/$3),max(abs($7-$2)/$2,abs($7-$3)/$3))) with lp ls 2 title "BDJ"

47
figs/hardcore.fig/Makefile Normal file
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PROJECTNAME=hardcore_energy hardcore_condensate
SIMPLEQ=simpleq
DATS=simpleq-energy.dat simpleq_soft-energy.dat mueq_soft-energy.dat bigeq_soft-energy.dat simpleq-condensate.dat simpleq_soft-condensate.dat mueq_soft-condensate.dat bigeq_soft-condensate.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-energy.dat:
julia -p 8 $(SIMPLEQ)/main.jl -p "N=12;P=8;J=5;nlrho=24;maxlrho=0.15" -M simpleq-hardcore energy_rho > $@
simpleq_soft-energy.dat:
julia $(SIMPLEQ)/main.jl -p "maxiter=100;maxlrho=0.15;v_a=512;v_b=1.2494804800401416" -U tent -M simpleq energy_rho > $@
mueq_soft-energy.dat:
julia $(SIMPLEQ)/main.jl -p "maxiter=100;maxlrho=0.15;v_a=512;v_b=1.2494804800401416" -U tent -M mueq energy_rho > $@
bigeq_soft-energy.dat:
julia -p 8 $(SIMPLEQ)/main.jl -p "N=12;P=8;eq=bigeq;maxiter=100;maxlrho=0.15;nlrho=64;v_a=512;v_b=1.2494804800401416" -U tent -M medeq energy_rho_init_prevrho > $@
simpleq-condensate.dat:
julia -p 8 $(SIMPLEQ)/main.jl -p "N=12;P=8;J=5;maxlrho=0.15;nlrho=24" -M simpleq-hardcore condensate_fraction_rho > $@
simpleq_soft-condensate.dat:
julia $(SIMPLEQ)/main.jl -p "maxiter=100;maxlrho=0.15;v_a=512;v_b=1.2494804800401416" -U tent -M simpleq condensate_fraction_rho > $@
mueq_soft-condensate.dat:
julia $(SIMPLEQ)/main.jl -p "maxiter=100;maxlrho=0.15;v_a=512;v_b=1.2494804800401416" -U tent -M mueq condensate_fraction_rho > $@
bigeq_soft-condensate.dat:
julia -p 8 $(SIMPLEQ)/main.jl -p "N=12;P=8;eq=bigeq;maxiter=100;maxlrho=0.15;nlrho=64;v_a=512;v_b=1.2494804800401416" -U tent -M medeq 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

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set ylabel "$\\tilde\\eta$" norotate
set xlabel "$\\rho$"
set xtics 1e-6, 100, 1
set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0)
unset mxtics
set xrange [:sqrt(2)]
#set ytics 1e-6, 10, 1
#set ytics add ("$10^{-6}$" 0.000001, "$10^{-5}$" 1e-5, "$10^{-4}$" 0.0001, "$10^{-3}$" 1e-3, "$10^{-2}$" 0.01, "$10^{-1}$" 1e-1, "$1$" 1.0)
#unset mytics
set yrange [0:1]
# 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 2
set pointsize 1
set logscale x
plot \
"simpleq-condensate.dat" using 1:($3<1e-2 ? $2 : 1/0) ls 6 title "simple hc",\
"simpleq_soft-condensate.dat" using 1:($3<1e-2 ? $2 : 1/0) with lines ls 1 title "simple" ,\
"mueq_soft-condensate.dat" using 1:($3<1e-2 ? $2 : 1/0) with lines ls 3 title "med",\
"bigeq_soft-condensate.dat" using 1:($3<1e-2 ? $2 : 1/0) with lines ls 5 title "big",\
"GBC99-condensate.dat" using 1:(1-$2) ls 2 title "QMC [15]"

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set ylabel "$\\frac{\\tilde e}\\rho$" norotate
set xlabel "$\\rho$"
set xtics 1e-6, 100, 1
set xtics add ("$10^{-6}$" 0.000001, "$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0)
unset mxtics
set xrange [:sqrt(2)]
#set ytics 1e-6, 10, 1
#set ytics add ("$10^{-6}$" 0.000001, "$10^{-5}$" 1e-5, "$10^{-4}$" 0.0001, "$10^{-3}$" 1e-3, "$10^{-2}$" 0.01, "$10^{-1}$" 1e-1, "$1$" 1.0)
#unset mytics
# 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 2
set pointsize 1
set logscale xy
plot \
"simpleq-energy.dat" using 1:($3<1e-2 ? $2/$1 : 1/0) ls 6 title "simple hc",\
"simpleq_soft-energy.dat" using 1:($3<1e-2 ? $2/$1 : 1/0) with lines ls 1 title "simple",\
"mueq_soft-energy.dat" using 1:($3<1e-2 ? $2/$1 : 1/0) every ::::95 with lines ls 3 title "med",\
"bigeq_soft-energy.dat" using 1:($3<1e-2 ? $2/$1 : 1/0) with lines ls 5 title "big",\
"GBC99-energy.dat" using 1:($2/(2*$1)) ls 2 title "QMC [15]"

35
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PROJECTNAME=tan7 tan4
SIMPLEQ=simpleq
DATS=bigeq7.dat bigeq4.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, $@)
bigeq7.dat:
julia $(SIMPLEQ)/main.jl -p "eq=bigeq;N=12;P=8;J=10;maxiter=100;v_a=1;rho=1e-7;minlrho=-7;nlrho=1" -M medeq momentum_distribution > $@
bigeq4.dat:
julia $(SIMPLEQ)/main.jl -p "eq=bigeq;N=12;P=8;J=10;maxiter=100;v_a=1;rho=1e-4;minlrho=-4;nlrho=1" -M medeq momentum_distribution > $@
install: $(PDFS)
cp $^ $(INSTALLDIR)/
clean-aux:
rm -f $(addsuffix .tikz.tex, $(PROJECTNAME))
rm -f $(addsuffix .aux, $(PROJECTNAME))
rm -f $(addsuffix .log, $(PROJECTNAME))
rm -f fit.log
clean-dat:
rm -f $(DATS)
clean-tex:
rm -f $(PDFS)
clean: clean-aux clean-tex

48
figs/tan.fig/tan4.gnuplot Normal file
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set title "$\\rho=10^{-4}$"
set ylabel norotate "$\\tilde{\\mathcal M}$"
set xlabel "$|\\mathbf k|$"
set xtics 1e-3, 100, 1e3
set xtics add ("$10^{-3}$" 0.001, "$10^{-1}$" 1e-1, "$10^{1}$" 10, "$10^{3}$" 1000)
unset mxtics
set xrange [1e-3:2e3]
set ytics 1e-40, 1e10, 1
set ytics add ("$10^{-40}$" 1e-40, "$10^{-30}$" 1e-30, "$10^{-20}$" 1e-20, "$10^{-10}$" 1e-10)
unset mytics
set yrange [1e-41:1e10]
# 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 2
set style line 3 linetype rgbcolor "#32CD32" linewidth 2
set style line 4 linetype rgbcolor "#4B0082" linewidth 3
set style line 5 linetype rgbcolor "#DAA520" linewidth 3
set style line 6 linetype rgbcolor "#660000" linewidth 3
set style line 7 linetype rgbcolor "#003333" linewidth 3
set pointsize 1
set logscale xy
f(x)=a-4*x
g(x)=c-12*x
fit [-2:-1] f(x) "bigeq4.dat" u (log10($1)):(log10(abs($2))) via a
fit [1:] g(x) "bigeq4.dat" u (log10($1)):(log10(abs($2))) via c
set label "$|\\mathbf k|^{-4}$" at 1e-2,10**(a) textcolor "#660000"
set label "$|\\mathbf k|^{-12}$" at 1e2,10**(c-22) textcolor "#003333"
plot \
"bigeq4.dat" using 1:(abs($2)) every::2::118 with lines ls 5 ,\
10**(f(log10(x))) ls 6 dashtype "." ,\
10**(g(log10(x))) ls 7 dashtype "." ,\

48
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set title "$\\rho=10^{-7}$"
set ylabel norotate "$\\tilde{\\mathcal M}$"
set xlabel "$|\\mathbf k|$"
set xtics 1e-3, 1000, 1e6
set xtics add ("$10^{-3}$" 0.001, "$10^{0}$" 1, "$10^{3}$" 1000, "$10^6$" 1000000)
unset mxtics
set xrange [1e-3:1000000]
set ytics 1e-60, 1e20, 1
set ytics add ("$10^{-60}$" 1e-60, "$10^{-40}$" 1e-40, "$10^{-20}$" 1e-20)
unset mytics
set yrange [1e-61:1e10]
# 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 2
set style line 3 linetype rgbcolor "#32CD32" linewidth 2
set style line 4 linetype rgbcolor "#4B0082" linewidth 3
set style line 5 linetype rgbcolor "#DAA520" linewidth 3
set style line 6 linetype rgbcolor "#660000" linewidth 3
set style line 7 linetype rgbcolor "#003333" linewidth 3
set pointsize 1
set logscale xy
f(x)=a-4*x
g(x)=c-12*x
fit [-2:-1] f(x) "bigeq7.dat" u (log10($1)):(log10(abs($2))) via a
fit [1:] g(x) "bigeq7.dat" u (log10($1)):(log10(abs($2))) via c
set label "$|\\mathbf k|^{-4}$" at 1e-2,10**(a-4) textcolor "#660000"
set label "$|\\mathbf k|^{-12}$" at 1e3,10**(c-34) textcolor "#003333"
plot \
"bigeq7.dat" using 1:(abs($2)) with lines ls 5 ,\
10**(f(log10(x))) ls 6 dashtype "." ,\
10**(g(log10(x))) ls 7 dashtype "." ,\

43
figs/ux.fig/Makefile Normal file
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PROJECTNAME=ux-02 ux-0001
SIMPLEQ=simpleq
DATS=simpleq16-0.02.dat mueq16-0.02.dat bigeq16-0.02.dat simpleq16-0.0001.dat mueq16-0.0001.dat bigeq16-0.0001.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, $@)
simpleq16-0.02.dat:
julia $(SIMPLEQ)/main.jl -p "v_a=16;xmax=10;nx=200;rho=2e-2" -M simpleq ux >$@
mueq16-0.02.dat:
julia $(SIMPLEQ)/main.jl -p "v_a=16;xmax=10;nx=200;rho=2e-2" -M mueq ux > $@
bigeq16-0.02.dat:
julia $(SIMPLEQ)/main.jl -p "rho=2e-2;minlrho=-6;nlrho=60;v_a=16;eq=bigeq;N=16;P=8;xmax=10;nx=200;N=16;P=8" -M medeq ux > $@
simpleq16-0.0001.dat:
julia $(SIMPLEQ)/main.jl -p "v_a=16;xmax=40;nx=200;rho=1e-4" -M simpleq ux >$@
mueq16-0.0001.dat:
julia $(SIMPLEQ)/main.jl -p "v_a=16;xmax=40;nx=200;rho=1e-4" -M mueq ux > $@
bigeq16-0.0001.dat:
julia $(SIMPLEQ)/main.jl -p "rho=1e-4;minlrho=-6;nlrho=20;v_a=16;eq=bigeq;N=16;P=8;xmax=40;nx=200;N=16;P=8" -M medeq ux > $@
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

26
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set title "$\\rho=0.0001$"
set ylabel "$\\tilde g_2$" norotate offset -1,0
set xlabel "$|\\mathbf x|$"
# 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 "#555500" linewidth 2
set pointsize 1
plot \
"simpleq16-0.0001.dat" using 1:(1-$2) with lines ls 1 title "simple",\
"mueq16-0.0001.dat" using 1:(1-$2) with lines ls 3 title "med",\
"bigeq16-0.0001.dat" using 1:(1-$2) with lines ls 5 title "big",\
"2020-10-01+u16-0001.dat" using 1:2 ls 2 title "QMC"

26
figs/ux.fig/ux-02.gnuplot Normal file
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set title "$\\rho=0.02$"
set ylabel "$\\tilde g_2$" norotate offset -1,0
set xlabel "$|\\mathbf x|$"
# 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 "#555500" linewidth 2
set pointsize 0.5
plot \
"simpleq16-0.02.dat" using 1:(1-$2) with lines ls 1 title "simple",\
"mueq16-0.02.dat" using 1:(1-$2) with lines ls 3 title "med",\
"bigeq16-0.02.dat" using 1:(1-$2) with lines ls 5 title "big",\
"2020-08-27+u.dat" using 1:2 ls 2 title "QMC"