From 6a019dc4f91c3db3731193aa0351444462b44a24 Mon Sep 17 00:00:00 2001
From: Ian Jauslin <ian@jauslin.org>
Date: Mon, 1 Mar 2021 16:51:33 -0500
Subject: Update to v0.2:

  Added: Comparison of the energy for two different potentials that
  share the same scattering length and integral (new figure).

  Added: Lee-Huang-Yang prediction in figures.

  Fixed: Wrong exponent in definition of correlation function.

  Added: More precise comparison of the big equation prediction for the
  hard core potential (new figure).

  Changed: Miscellaneous minor fixes and clarifications.
---
 figs/compare_pots.fig/Makefile             | 36 +++++++++++++++++++++++++++
 figs/compare_pots.fig/compare_pots.gnuplot | 39 ++++++++++++++++++++++++++++++
 2 files changed, 75 insertions(+)
 create mode 100644 figs/compare_pots.fig/Makefile
 create mode 100644 figs/compare_pots.fig/compare_pots.gnuplot

(limited to 'figs/compare_pots.fig')

diff --git a/figs/compare_pots.fig/Makefile b/figs/compare_pots.fig/Makefile
new file mode 100644
index 0000000..9938c4e
--- /dev/null
+++ b/figs/compare_pots.fig/Makefile
@@ -0,0 +1,36 @@
+PROJECTNAME=compare_pots
+
+SIMPLEQ=simpleq
+
+DATS=bigeq_tent.dat bigeq_exp.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, $@)
+
+bigeq_tent.dat:
+	julia -p 8 $(SIMPLEQ)/main.jl -p "N=12;P=8;J=10;maxiter=100;v_a=32;minlrho=-4;nlrho=100;maxlrho=4;eq=bigeq" -U tent -M medeq energy_rho > $@
+
+bigeq_exp.dat:
+	# rescale rho by beta^3~324.860
+	julia -p 8 $(SIMPLEQ)/main.jl -p "N=12;P=8;J=10;maxiter=100;v_a=19.1968;minlrho=-6.512;nlrho=100;maxlrho=1.488;eq=bigeq" -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 $(PDFS)
+
+clean: clean-aux clean-tex
diff --git a/figs/compare_pots.fig/compare_pots.gnuplot b/figs/compare_pots.fig/compare_pots.gnuplot
new file mode 100644
index 0000000..0f8ac58
--- /dev/null
+++ b/figs/compare_pots.fig/compare_pots.gnuplot
@@ -0,0 +1,39 @@
+set ylabel "$\\frac{e}{\\rho}$" norotate
+set xlabel "$\\rho$"
+
+set xtics 1e-4, 100, 10000
+set xtics add ("$10^{-4}$" 0.0001, "$10^{-2}$" 0.01, "$1$" 1.0, "$10^2$" 100, "$10^4$" 10000)
+unset mxtics
+
+set xrange [1e-5:1e4]
+
+#set ytics 0.8, 0.05, 1.1
+set yrange [0:40]
+
+# 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 "#FF3399" linewidth 2
+set style line 2 linetype rgbcolor "#DC143C" linewidth 2
+set style line 3 linetype rgbcolor "#DC143C" linewidth 2
+set style line 4 linetype rgbcolor "#4B0082" linewidth 2 dashtype "."
+set style line 5 linetype rgbcolor "#DAA520" linewidth 2
+set style line 6 linetype rgbcolor "#999999" linewidth 1.5 dashtype (1,5)
+
+set pointsize 1
+
+set logscale x
+
+a=0.597754
+beta=6.87436
+
+plot \
+ "bigeq_tent.dat" using 1:($2/$1) with lines ls 4 title "big $v_{32}^{(0)}$",\
+ "bigeq_exp.dat" using ($1*beta**3):($2/$1/beta) with lines ls 5 title "big $\\Phi$",\
+ "2021-02-16+tent32.dat" u 1:($2/$1) ls 1 title "QMC $v_{32}^{(0)}$",\
+ "2021-02-16+19.dat" u ($1*beta**3):($2/$1/beta) ls 2 title "QMC $\\Phi$",\
+ 2*pi*a*(1+128./15/sqrt(pi)*sqrt(x*a**3)) ls 6 title "LHY"
-- 
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