Ian Jauslin

Ian Jauslin

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-rw-r--r--figs/1d.pngbin0 -> 70742 bytes
-rw-r--r--figs/plots.fig/Makefile28
-rw-r--r--figs/plots.fig/erho.dat104
-rw-r--r--figs/plots.fig/erho.gnuplot37
-rw-r--r--figs/plots.fig/erho_bare.gnuplot31
-rw-r--r--figs/plots.fig/erho_effective.gnuplot38
-rw-r--r--figs/plots.fig/erho_fulleq.dat71
-rw-r--r--figs/plots.fig/erho_fulleq.gnuplot37
-rw-r--r--figs/plots.fig/erho_holzmann.gnuplot38
-rw-r--r--figs/plots.fig/holzmann_2019-12-25.dat11
10 files changed, 395 insertions, 0 deletions
diff --git a/figs/1d.png b/figs/1d.png
new file mode 100644
index 0000000..e64f960
--- /dev/null
+++ b/figs/1d.png
Binary files differ
diff --git a/figs/plots.fig/Makefile b/figs/plots.fig/Makefile
new file mode 100644
index 0000000..3a3c8bc
--- /dev/null
+++ b/figs/plots.fig/Makefile
@@ -0,0 +1,28 @@
+PROJECTNAME=erho_bare erho erho_holzmann erho_effective erho_fulleq
+
+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/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
+ 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 6.94502595e-04
+ 1.00000000e-04 8.39296065e-04
+ 1.20226443e-04 1.01470042e-03
+ 1.44543977e-04 1.22730542e-03
+ 1.73780083e-04 1.48514988e-03
+ 2.08929613e-04 1.79804690e-03
+ 2.51188643e-04 2.17798310e-03
+ 3.01995172e-04 2.63960836e-03
+ 3.63078055e-04 3.20083623e-03
+ 4.36515832e-04 3.88357954e-03
+ 5.24807460e-04 4.71465030e-03
+ 6.30957344e-04 5.72685888e-03
+ 7.58577575e-04 6.96035420e-03
+ 9.12010839e-04 8.46425370e-03
+ 1.09647820e-03 1.02986208e-02
+ 1.31825674e-03 1.25368572e-02
+ 1.58489319e-03 1.52685874e-02
+ 1.90546072e-03 1.86031268e-02
+ 2.29086765e-03 2.26736380e-02
+ 2.75422870e-03 2.76420977e-02
+ 3.31131121e-03 3.37052167e-02
+ 3.98107171e-03 4.11014850e-02
+ 4.78630092e-03 5.01195435e-02
+ 5.75439937e-03 6.11081308e-02
+ 6.91830971e-03 7.44879092e-02
+ 8.31763771e-03 9.07655413e-02
+ 1.00000000e-02 1.10550483e-01
+ 1.20226443e-02 1.34575061e-01
+ 1.44543977e-02 1.63718539e-01
+ 1.73780083e-02 1.99036030e-01
+ 2.08929613e-02 2.41793284e-01
+ 2.51188643e-02 2.93508614e-01
+ 3.01995172e-02 3.56003446e-01
+ 3.63078055e-02 4.31463277e-01
+ 4.36515832e-02 5.22511186e-01
+ 5.24807460e-02 6.32296416e-01
+ 6.30957344e-02 7.64601077e-01
+ 7.58577575e-02 9.23968602e-01
+ 9.12010839e-02 1.11585830e+00
+ 1.09647820e-01 1.34683126e+00
+ 1.31825674e-01 1.62477387e+00
+ 1.58489319e-01 1.95916654e+00
+ 1.90546072e-01 2.36140673e+00
+ 2.29086765e-01 2.84519724e+00
+ 2.75422870e-01 3.42701297e+00
+ 3.31131121e-01 4.12666196e+00
+ 3.98107171e-01 4.96795983e+00
+ 4.78630092e-01 5.97954056e+00
+ 5.75439937e-01 7.19583118e+00
+ 6.91830971e-01 8.65822353e+00
+ 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.gnuplot b/figs/plots.fig/erho.gnuplot
new file mode 100644
index 0000000..f2f04bf
--- /dev/null
+++ b/figs/plots.fig/erho.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=1.2544
+set arrow from 0.01,4*pi to 100,4*pi linewidth 2 dashtype "." linecolor "#DC143C" nohead
+set label at 0.00001,4*pi "$\\displaystyle\\frac12\\int dx\\ v(x)$" textcolor "#DC143C"
+set arrow from 0.000001,2*pi*a to 0.01,2*pi*a linewidth 2 dashtype "." linecolor "#DC143C" nohead
+set label at 0.01,2*pi*a "$2\\pi a$" textcolor "#DC143C"
+
+plot "erho.dat" using 1:($2/$1) with lines linestyle 1
diff --git a/figs/plots.fig/erho_bare.gnuplot b/figs/plots.fig/erho_bare.gnuplot
new file mode 100644
index 0000000..381bf8f
--- /dev/null
+++ b/figs/plots.fig/erho_bare.gnuplot
@@ -0,0 +1,31 @@
+set ylabel "$\\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
+
+plot "erho.dat" using 1:($2/$1) with lines linestyle 1
diff --git a/figs/plots.fig/erho_effective.gnuplot b/figs/plots.fig/erho_effective.gnuplot
new file mode 100644
index 0000000..f26252e
--- /dev/null
+++ b/figs/plots.fig/erho_effective.gnuplot
@@ -0,0 +1,38 @@
+set ylabel "$\\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..c3e25bc
--- /dev/null
+++ b/figs/plots.fig/erho_fulleq.dat
@@ -0,0 +1,71 @@
+ 1.000000000000000e-06 7.943225557149440e-06
+ 1.202264434617413e-06 9.550649196240993e-06
+ 1.445439770745928e-06 1.148608224097413e-05
+ 1.737800828749376e-06 1.381647407426946e-05
+ 2.089296130854041e-06 1.662234811664761e-05
+ 2.511886431509582e-06 2.000067931881717e-05
+ 3.019951720402019e-06 2.406839068874762e-05
+ 3.630780547701017e-06 2.896662133595600e-05
+ 4.365158322401657e-06 3.486570260772630e-05
+ 5.248074602497723e-06 4.197087478032880e-05
+ 6.309573444801930e-06 5.052956242205628e-05
+ 7.585775750291836e-06 6.084048678334962e-05
+ 9.120108393559096e-06 7.326450648917457e-05
+ 1.096478196143185e-05 8.823760552067836e-05
+ 1.318256738556407e-05 1.062866339996421e-04
+ 1.584893192461114e-05 1.280484412743089e-04
+ 1.905460717963248e-05 1.542931396948381e-04
+ 2.290867652767775e-05 1.859523935537443e-04
+ 2.754228703338163e-05 2.241538298379102e-04
+ 3.311311214825908e-05 2.702629184292176e-04
+ 3.981071705534969e-05 3.259339774051458e-04
+ 4.786300923226380e-05 3.931723354869830e-04
+ 5.754399373371566e-05 4.744101435386657e-04
+ 6.918309709189363e-05 5.725988899895778e-04
+ 8.317637711026709e-05 6.913223659757470e-04
+ 1.000000000000000e-04 8.349346745163762e-04
+ 1.202264434617413e-04 1.008728918608626e-03
+ 1.445439770745928e-04 1.219143475424312e-03
+ 1.737800828749376e-04 1.474014314386420e-03
+ 2.089296130854039e-04 1.782883700975928e-03
+ 2.511886431509580e-04 2.157377911005384e-03
+ 3.019951720402016e-04 2.611669336976948e-03
+ 3.630780547701014e-04 3.163041683927783e-03
+ 4.365158322401661e-04 3.832580921405119e-03
+ 5.248074602497728e-04 4.646019387820144e-03
+ 6.309573444801930e-04 5.634766055532838e-03
+ 7.585775750291835e-04 6.837162598523638e-03
+ 9.120108393559096e-04 8.300012713478473e-03
+ 1.096478196143185e-03 1.008044129788192e-02
+ 1.318256738556408e-03 1.224815077758102e-02
+ 1.584893192461114e-03 1.488815434797420e-02
+ 1.905460717963246e-03 1.810408049926411e-02
+ 2.290867652767772e-03 2.202216044849482e-02
+ 2.754228703338166e-03 2.679603069994575e-02
+ 3.311311214825911e-03 3.261250778551399e-02
+ 3.981071705534973e-03 3.969852233927637e-02
+ 4.786300923226385e-03 4.832943621884323e-02
+ 5.754399373371567e-03 5.883901075761187e-02
+ 6.918309709189363e-03 7.163134806415733e-02
+ 8.317637711026709e-03 8.719519272244319e-02
+ 1.000000000000000e-02 1.061210611088456e-01
+ 1.202264434617413e-02 1.291217632376785e-01
+ 1.445439770745928e-02 1.570570011615084e-01
+ 1.737800828749376e-02 1.909628719282617e-01
+ 2.089296130854041e-02 2.320872756251717e-01
+ 2.511886431509582e-02 2.819324351385841e-01
+ 3.019951720402019e-02 3.423059810454138e-01
+ 3.630780547701010e-02 4.153823512868897e-01
+ 4.365158322401656e-02 5.037766102499892e-01
+ 5.248074602497723e-02 6.106332154610471e-01
+ 6.309573444801930e-02 7.397327648968159e-01
+ 7.585775750291836e-02 8.956203622431048e-01
+ 9.120108393559097e-02 1.083759966304907e+00
+ 1.096478196143185e-01 1.310719973979596e+00
+ 1.318256738556407e-01 1.584396355238565e+00
+ 1.584893192461114e-01 1.914280945866737e+00
+ 1.905460717963248e-01 2.311784046064119e+00
+ 2.290867652767775e-01 2.790622317703228e+00
+ 2.754228703338169e-01 3.367285183378040e+00
+ 3.311311214825908e-01 4.061595587917465e+00
+ 3.981071705534969e-01 4.897384186423424e+00
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/$1) with points linestyle 2
diff --git a/figs/plots.fig/erho_holzmann.gnuplot b/figs/plots.fig/erho_holzmann.gnuplot
new file mode 100644
index 0000000..54f60a5
--- /dev/null
+++ b/figs/plots.fig/erho_holzmann.gnuplot
@@ -0,0 +1,38 @@
+set ylabel "$\\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
+
+plot "erho.dat" using 1:(0.95*$2/$1):($2/$1) with filledcurves linetype rgbcolor "#DDDDDD", \
+ "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 "." ,\
+ "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
+
generated by cgit v1.2.3-54-g00ecf (git 2.45.1) at 2024-05-20 13:46:32 +0000