As presented at GLaMP 2019 on 2019-06-29HEADv1.0master

6 files changed, 214 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
diff --git a/figs/BEC.png b/figs/BEC.png
new file mode 100644
index 0000000..b64fda1
--- /dev/null
+++ b/figs/BEC.png
diff --git a/figs/plots.fig/Makefile b/figs/plots.fig/Makefile
new file mode 100644
index 0000000..8d17272
--- /dev/null
+++ b/figs/plots.fig/Makefile
@@ -0,0 +1,28 @@
+PROJECTNAME=erho_bare erho
+
+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..f91dc28
--- /dev/null
+++ b/figs/plots.fig/erho.gnuplot
@@ -0,0 +1,44 @@
+datafile="erho.dat"
+
+## can also set the following options
+#set title ""
+set ylabel "$\\displaystyle\\frac{e_0}{\\rho}$" norotate
+set xlabel "$\\log_{10}(\\rho)$"
+#
+#set xrange[:]
+#set yrange [7:]
+#
+## start ticks at 0, then every x
+#set xtics -6,2
+#set ytics 8,2
+## puts 4 minor tics between tics (5 intervals, i.e. every 0.01)
+set mxtics 5
+set mytics 5
+
+# default output canvas size: 12.5cm x 8.75cm
+set term lua tikz size 12.5,8.75 standalone
+
+set key off
+
+# 3=1+2 draw bottom and left sides of the box
+#set border 3
+# don't show tics on opposite sides
+#set xtics nomirror
+#set ytics nomirror
+
+# set linestyle
+set style line 1 linetype rgbcolor "#4169E1" linewidth 3
+set style line 2 linetype rgbcolor "#DC143C" linewidth 3
+set style line 3 linetype rgbcolor "#32CD32" linewidth 3
+set style line 4 linetype rgbcolor "#4B0082" linewidth 3
+set style line 5 linetype rgbcolor "#DAA520" linewidth 3
+
+a=1.2544
+set arrow from -2,4*pi to 2,4*pi linewidth 2 dashtype "." linecolor "#DC143C" nohead
+set label at -4,4*pi "$\\displaystyle\\frac12\\int dx\\ v(x)$" textcolor "#DC143C"
+set arrow from -6,2*pi*a to -2,2*pi*a linewidth 2 dashtype "." linecolor "#DC143C" nohead
+set label at -2,2*pi*a "$2\\pi a$" textcolor "#DC143C"
+
+set pointsize 0.6
+
+plot datafile using (log10($1)):($2/$1) with lines linestyle 1
diff --git a/figs/plots.fig/erho_bare.gnuplot b/figs/plots.fig/erho_bare.gnuplot
new file mode 100644
index 0000000..9509abf
--- /dev/null
+++ b/figs/plots.fig/erho_bare.gnuplot
@@ -0,0 +1,38 @@
+datafile="erho.dat"
+
+## can also set the following options
+#set title ""
+set ylabel "$\\displaystyle\\frac{e_0}{\\rho}$" norotate
+set xlabel "$\\log_{10}(\\rho)$"
+#
+#set xrange[:]
+#set yrange [7:]
+#
+## start ticks at 0, then every x
+#set xtics -6,2
+#set ytics 8,2
+## puts 4 minor tics between tics (5 intervals, i.e. every 0.01)
+set mxtics 5
+set mytics 5
+
+# default output canvas size: 12.5cm x 8.75cm
+set term lua tikz size 12.5,8.75 standalone
+
+set key off
+
+# 3=1+2 draw bottom and left sides of the box
+#set border 3
+# don't show tics on opposite sides
+#set xtics nomirror
+#set ytics nomirror
+
+# 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 0.6
+
+plot datafile using (log10($1)):($2/$1) with lines linestyle 1