As presented at the University of Milan on 2022-02-21HEADv1.0master

7 files changed, 423 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 $(PDFS)
+
+clean: clean-libs clean-aux clean-tex
diff --git a/figs/condensate.fig/bigeq.dat b/figs/condensate.fig/bigeq.dat
new file mode 100644
index 0000000..e48cbc3
--- /dev/null
+++ b/figs/condensate.fig/bigeq.dat
@@ -0,0 +1,100 @@
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diff --git a/figs/condensate.fig/condensate.gnuplot b/figs/condensate.fig/condensate.gnuplot
new file mode 100644
index 0000000..f1c689d
--- /dev/null
+++ b/figs/condensate.fig/condensate.gnuplot
@@ -0,0 +1,36 @@
+set ylabel "$\\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/condensate.pdf b/figs/condensate.fig/condensate.pdf
new file mode 100644
index 0000000..9e965a4
--- /dev/null
+++ b/figs/condensate.fig/condensate.pdf
diff --git a/figs/condensate.fig/condensate.tikz.tex b/figs/condensate.fig/condensate.tikz.tex
new file mode 100644
index 0000000..4f7da70
--- /dev/null
+++ b/figs/condensate.fig/condensate.tikz.tex
@@ -0,0 +1,142 @@
+\documentclass[10pt]{article}
+\usepackage[T1]{fontenc}
+\usepackage{textcomp}
+
+\usepackage[utf8x]{inputenc}
+\SetUnicodeOption{mathletters}
+
+\usepackage{gnuplot-lua-tikz}
+\pagestyle{empty}
+\usepackage[active,tightpage]{preview}
+\PreviewEnvironment{tikzpicture}
+\setlength\PreviewBorder{\gpbboxborder}
+\begin{document}
+
+\begin{tikzpicture}[gnuplot]
+%% generated with GNUPLOT 5.4p2 (Lua 5.4; terminal rev. Jun 2020, script rev. 114)
+%% Sun Jan  2 22:45:53 2022
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+  --(2.033,5.540)--(2.090,5.524)--(2.147,5.507)--(2.204,5.489)--(2.261,5.469)--(2.318,5.447)%
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+  --(6.820,4.558)--(6.877,4.624)--(6.934,4.687)--(6.991,4.746)--(7.048,4.803)--(7.105,4.857)%
+  --(7.162,4.907)--(7.219,4.956)--(7.276,5.001)--(7.333,5.044)--(7.390,5.085);
+\gpcolor{rgb color={0.196,0.804,0.196}}
+\gpsetdashtype{dash pattern=on 2.00*\gpdashlength off 5.00*\gpdashlength }
+\draw[gp path] (1.748,5.592)--(1.806,5.582)--(1.863,5.571)--(1.921,5.560)--(1.978,5.547)%
+  --(2.036,5.533)--(2.093,5.517)--(2.151,5.500)--(2.209,5.482)--(2.266,5.461)--(2.324,5.439)%
+  --(2.381,5.414)--(2.439,5.387)--(2.496,5.358)--(2.554,5.325)--(2.611,5.289)--(2.669,5.250)%
+  --(2.727,5.207)--(2.784,5.160)--(2.842,5.108)--(2.899,5.052)--(2.957,4.989)--(3.014,4.921)%
+  --(3.072,4.846)--(3.130,4.763)--(3.187,4.673)--(3.245,4.574)--(3.302,4.465)--(3.360,4.345)%
+  --(3.417,4.214)--(3.475,4.070)--(3.533,3.912)--(3.590,3.738)--(3.648,3.548)--(3.705,3.339)%
+  --(3.763,3.110)--(3.820,2.858)--(3.878,2.582)--(3.935,2.279)--(3.993,1.946)--(4.051,1.581)%
+  --(4.108,1.180)--(4.133,0.985);
+\gpcolor{rgb color={0.863,0.078,0.235}}
+\gpsetpointsize{2.40}
+\gp3point{gp mark 2}{}{(3.173,4.886)}
+\gp3point{gp mark 2}{}{(3.885,3.427)}
+\gp3point{gp mark 2}{}{(4.598,1.592)}
+\gp3point{gp mark 2}{}{(5.310,1.686)}
+\gp3point{gp mark 2}{}{(6.022,2.929)}
+\gp3point{gp mark 2}{}{(6.735,4.190)}
+\gp3point{gp mark 2}{}{(7.233,4.703)}
+\gpcolor{color=gp lt color border}
+\gpsetdashtype{gp dt solid}
+\gpsetlinewidth{1.00}
+\draw[gp path] (1.748,5.691)--(1.748,0.985)--(7.447,0.985)--(7.447,5.691)--cycle;
+%% coordinates of the plot area
+\gpdefrectangularnode{gp plot 1}{\pgfpoint{1.748cm}{0.985cm}}{\pgfpoint{7.447cm}{5.691cm}}
+\end{tikzpicture}
+%% gnuplot variables
+\end{document}
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
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+ 1.584893192461114e-05  8.114765932045185e-03
+ 1.905460717963248e-05  8.865120699464721e-03
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+ 2.754228703338163e-05  1.056770975064344e-02
+ 3.311311214825908e-05  1.152998189333092e-02
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+ 1.000000000000000e-04  1.918729591875359e-02
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