As presented at TAMU on 2020-05-15HEADv1.0master

9 files changed, 554 insertions, 0 deletions

diff --git a/figs/plots.fig/Makefile b/figs/plots.fig/Makefile
new file mode 100644
index 0000000..9b08148
--- /dev/null
+++ b/figs/plots.fig/Makefile
@@ -0,0 +1,28 @@
+PROJECTNAME=erho_effective erho_fulleq condensate
+
+PDFS=$(addsuffix .pdf, $(PROJECTNAME))
+
+all: $(PDFS)
+
+$(PDFS):
+	gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tex, $@) 
+	pdflatex -file-line-error $(patsubst %.pdf, %.tex, $@)
+
+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 $(PDFS)
+
+clean: clean-libs clean-aux clean-tex
diff --git a/figs/plots.fig/condensate.gnuplot b/figs/plots.fig/condensate.gnuplot
new file mode 100644
index 0000000..8b4579a
--- /dev/null
+++ b/figs/plots.fig/condensate.gnuplot
@@ -0,0 +1,36 @@
+set ylabel "$\\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 "condensate_simpleq.dat" u 1:(1-$2) w l ls 1, \
+     "condensate_fulleq.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/plots.fig/condensate_fulleq.dat b/figs/plots.fig/condensate_fulleq.dat
new file mode 100644
index 0000000..d2ed0d4
--- /dev/null
+++ b/figs/plots.fig/condensate_fulleq.dat
@@ -0,0 +1,100 @@
+ #1.000000000000000e-06 -8.614938818503196e-02
+ #1.202264434617413e-06 -9.766116625085511e-02
+ #1.445439770745928e-06 -1.086260326967837e-01
+ #1.737800828749376e-06 -1.188900378151884e-01
+ #2.089296130854041e-06 -1.165715185508008e-01
+ #2.511886431509582e-06 -1.250759588981834e-01
+ #3.019951720402019e-06 -1.268149860317770e-01
+ #3.630780547701017e-06 -1.008774209546726e-01
+ #4.365158322401657e-06 -6.384109793944306e-02
+ #5.248074602497723e-06 -3.305204372052289e-02
+ #6.309573444801930e-06 -1.363639580237857e-02
+ #7.585775750291836e-06 -2.687137270988418e-03
+ #9.120108393559096e-06  3.166008919824121e-03
+ #1.096478196143185e-05  6.184918017260721e-03
+ #1.318256738556407e-05  7.747932088893341e-03
+ #1.584893192461114e-05  8.662355141522138e-03
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diff --git a/figs/plots.fig/condensate_simpleq.dat b/figs/plots.fig/condensate_simpleq.dat
new file mode 100644
index 0000000..348121c
--- /dev/null
+++ b/figs/plots.fig/condensate_simpleq.dat
@@ -0,0 +1,100 @@
+ 1.000000000000000e-06  2.095081711925015e-03
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diff --git a/figs/plots.fig/erho.dat b/figs/plots.fig/erho.dat
new file mode 100644
index 0000000..837439f
--- /dev/null
+++ b/figs/plots.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
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+ 8.31763771e-01  1.04164830e+01
+ 1.00000000e+00  1.25304420e+01
+ 1.20226443e+00  1.50720365e+01
+ 1.44543977e+00  1.81277534e+01
+ 1.73780083e+00  2.18015742e+01
+ 2.08929613e+00  2.62185132e+01
+ 2.51188643e+00  3.15288712e+01
+ 3.01995172e+00  3.79133506e+01
+ 3.63078055e+00  4.55892039e+01
+ 4.36515832e+00  5.48176270e+01
+ 5.24807460e+00  6.59126465e+01
+ 6.30957344e+00  7.92518063e+01
+ 7.58577575e+00  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/plots.fig/erho_effective.gnuplot b/figs/plots.fig/erho_effective.gnuplot
new file mode 100644
index 0000000..f26252e
--- /dev/null
+++ b/figs/plots.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/plots.fig/erho_fulleq.dat b/figs/plots.fig/erho_fulleq.dat
new file mode 100644
index 0000000..351d1b9
--- /dev/null
+++ b/figs/plots.fig/erho_fulleq.dat
@@ -0,0 +1,100 @@
+ 1.000000000000000e-06  7.943042518656766e-06 0
+ 1.202264434617413e-06  9.550219866068997e-06 0
+ 1.445439770745928e-06  1.148608224097378e-05 1
+ 1.737800828749376e-06  1.381647407426905e-05 1
+ 2.089296130854041e-06  1.662160583174429e-05 0
+ 2.511886431509582e-06  2.000065135391551e-05 0
+ 3.019951720402019e-06  2.406839054942614e-05 0
+ 3.630780547701017e-06  2.896662133595565e-05 1
+ 4.365158322401657e-06  3.486570260772683e-05 1
+ 5.248074602497723e-06  4.197087478032896e-05 1
+ 6.309573444801930e-06  5.052956242205629e-05 1
+ 7.585775750291836e-06  6.084048678334965e-05 1
+ 9.120108393559096e-06  7.326450648917462e-05 1
+ 1.096478196143185e-05  8.823760552067889e-05 1
+ 1.318256738556407e-05  1.062866339996179e-04 1
+ 1.584893192461114e-05  1.280484412743087e-04 1
+ 1.905460717963248e-05  1.542931396948374e-04 1
+ 2.290867652767775e-05  1.859523935537466e-04 1
+ 2.754228703338163e-05  2.241538298379074e-04 1
+ 3.311311214825908e-05  2.702629184292266e-04 1
+ 3.981071705534969e-05  3.259339774051344e-04 1
+ 4.786300923226380e-05  3.931723354869787e-04 1
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+ 6.918309709189363e-05  5.725988899895806e-04 1
+ 8.317637711026709e-05  6.913223659756494e-04 1
+ 1.000000000000000e-04  8.349346745163116e-04 1
+ 1.202264434617413e-04  1.008728918608530e-03 1
+ 1.445439770745928e-04  1.219143475424315e-03 1
+ 1.737800828749376e-04  1.474014314386416e-03 1
+ 2.089296130854039e-04  1.782883700975914e-03 1
+ 2.511886431509580e-04  2.157377911005317e-03 1
+ 3.019951720402016e-04  2.611669336976909e-03 1
+ 3.630780547701014e-04  3.163041683927843e-03 1
+ 4.365158322401661e-04  3.832580921405091e-03 1
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+ 7.585775750291835e-04  6.837162598523666e-03 1
+ 9.120108393559096e-04  8.300012713479526e-03 1
+ 1.096478196143185e-03  1.008044129788173e-02 1
+ 1.318256738556408e-03  1.224815077758103e-02 1
+ 1.584893192461114e-03  1.488815434797412e-02 1
+ 1.905460717963246e-03  1.810408049926405e-02 1
+ 2.290867652767772e-03  2.202216044849479e-02 1
+ 2.754228703338166e-03  2.679603069994577e-02 1
+ 3.311311214825911e-03  3.261250778551406e-02 1
+ 3.981071705534973e-03  3.969852233927642e-02 1
+ 4.786300923226385e-03  4.832943621884326e-02 1
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+ 8.317637711026709e-03  8.719519272244317e-02 1
+ 1.000000000000000e-02  1.061210611088454e-01 1
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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
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+ 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/plots.fig/erho_fulleq.gnuplot b/figs/plots.fig/erho_fulleq.gnuplot
new file mode 100644
index 0000000..2927ead
--- /dev/null
+++ b/figs/plots.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/plots.fig/holzmann_2019-12-25.dat b/figs/plots.fig/holzmann_2019-12-25.dat
new file mode 100644
index 0000000..96689cb
--- /dev/null
+++ b/figs/plots.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
+