From e3310432fd9f4c7b4a5415d8f9ac8ca586d30b59 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Fri, 30 Jul 2021 08:17:40 +0200
Subject: Work on figures.

---
 data/glow_series_caselle.dat | 12 ++++++++++
 data/glow_series_numeric.dat | 12 ++++++++++
 data/glow_series_ours_0.dat  | 10 +++++++++
 ising_scaling.tex            | 52 +++++++++++++++++++++++++++++++++++++++++++-
 4 files changed, 85 insertions(+), 1 deletion(-)
 create mode 100644 data/glow_series_caselle.dat
 create mode 100644 data/glow_series_numeric.dat
 create mode 100644 data/glow_series_ours_0.dat

diff --git a/data/glow_series_caselle.dat b/data/glow_series_caselle.dat
new file mode 100644
index 0000000..5055537
--- /dev/null
+++ b/data/glow_series_caselle.dat
@@ -0,0 +1,12 @@
+0 0
+1	1.3578383417065958
+2	0.04895328972000001
+3	-0.03583699905553839
+4	0.05314325466585325
+5	-0.10995313306170518
+6	0.27695711937696527
+7	-0.7945288687091496
+8	2.499702182487161
+9	-8.424469309661191
+10	29.94325112254707
+11	-111.02920849909854
diff --git a/data/glow_series_numeric.dat b/data/glow_series_numeric.dat
new file mode 100644
index 0000000..27927c1
--- /dev/null
+++ b/data/glow_series_numeric.dat
@@ -0,0 +1,12 @@
+0	0	0
+1	-1.3578383417065955	1.e-14
+2	-0.04895328972	2.e-12
+3	0.038863929	1.e-10
+4	-0.068362121	1.e-9
+5	0.18388371	1.e-8
+6	-0.65917	1.e-6
+7	2.937665	3.e-6
+8	-15.61	0.01
+9	96.76	0
+10	-679	0
+11	5340	0
diff --git a/data/glow_series_ours_0.dat b/data/glow_series_ours_0.dat
new file mode 100644
index 0000000..dea14cc
--- /dev/null
+++ b/data/glow_series_ours_0.dat
@@ -0,0 +1,10 @@
+0	0
+1	-1.357838341706601
+2	-0.04895328971999897
+3	0.03858936404667754
+4	-0.0663968386695819
+5	0.1728249493887744
+6	-0.5982136876234834
+7	2.5836539597308357
+8	-13.385542500325073
+9	80.92156022471427
\ No newline at end of file
diff --git a/ising_scaling.tex b/ising_scaling.tex
index bed9db3..18edea3 100644
--- a/ising_scaling.tex
+++ b/ising_scaling.tex
@@ -20,6 +20,7 @@
 \usepackage{graphicx}
 \usepackage{xcolor}
 \usepackage{tikz-cd}
+\usepackage[subfolder]{gnuplottex} % need to compile separately for APS
 
 \begin{document}
 
@@ -482,7 +483,11 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
   \begin{tabular}{c|ccccccccc}
      & \multicolumn{9}{c}{$n$} \\
      & 1 & 3 & 5 & 7 & 9 & 11 & 13 & 15 & 17 \\
-    \hline
+    \hline\hline
+    $n_-$ & 2 & 3 & 3 & 4 & 5 & 6 & 6 & 6 \\
+    $n_0$ & 1 & 2 & 3 & 4 & 4 & 5 & 7 & 8 \\
+    $n_+$ & 2 & 2 & 4 & 4 & 6 & 6 & 6 & 8
+    \\ \hline
     $\theta_c$ &
       1.19022 &
       1.24954 &
@@ -653,6 +658,51 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
 
 \subsection{Comparison}
 
+\begin{figure}
+  \begin{gnuplot}[terminal=epslatex, terminaloptions={size 8.65cm,5.35cm}]
+    dat1 = 'data/glow_series_numeric.dat'
+    dat2 = 'data/glow_series_ours_0.dat'
+    dat3 = 'data/glow_series_caselle.dat'
+    set key top left Left reverse
+    set logscale y
+    set xlabel '$n$'
+    set ylabel '$\mathcal F_n$'
+    plot \
+      dat1 using 1:(abs($2)) title 'Numeric', \
+      dat2 using 1:(abs($2)) title 'Ours ($n=0$)', \
+      dat3 using 1:(abs($2)) title 'Caselle'
+  \end{gnuplot}
+  \caption{
+  }
+\end{figure}
+
+\begin{figure}
+  \begin{gnuplot}[terminal=epslatex, terminaloptions={size 8.65cm,5.35cm}]
+    dat1 = 'data/glow_series_numeric.dat'
+    dat2 = 'data/glow_series_ours_0.dat'
+    dat3 = 'data/glow_series_caselle.dat'
+
+    ratLast(x) = (back2 = back1, back1 = x, back1 / back2)
+    init(x) = (back1 = back2 = 0)
+
+    back1 = 0
+    back2 = 0
+
+    set xrange [0:0.55]
+    set yrange [0:10]
+
+    set xlabel '$1/n$'
+    set ylabel '$\mathcal F_n/\mathcal F_{n-1}$'
+
+    plot \
+      dat1 using (1/$1):(abs(ratLast($2))) title 'Numeric', \
+      dat2 using (1/$1):(abs(ratLast($2))) title 'Ours ($n=0$)', \
+      dat3 using (1/$1):(abs(ratLast($2))) title 'Caselle'
+  \end{gnuplot}
+  \caption{
+  }
+\end{figure}
+
 \section{The three-dimensional Ising model}
 
 \cite{Butera_2011_Free}
-- 
cgit v1.2.3-70-g09d2