From 6dce7ae9473aed69198acb8fa9768cc54b98d558 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Wed, 4 Aug 2021 15:15:50 +0200
Subject: More data updates.

---
 ising_scaling.tex | 49 ++++++++++++++++++++++++++++---------------------
 1 file changed, 28 insertions(+), 21 deletions(-)

(limited to 'ising_scaling.tex')

diff --git a/ising_scaling.tex b/ising_scaling.tex
index bfa67fb..161a4e6 100644
--- a/ising_scaling.tex
+++ b/ising_scaling.tex
@@ -480,15 +480,16 @@ analytic for all $\theta\in\mathbb C$ outside the Langer branch cuts.
 The scaling function has a number of free parameters: the position $\theta_c$ of the abrupt transition, prefactors in front of singular functions from the abrupt transition and the Yang--Lee point, the coefficients in the analytic part of $\mathcal F$, and the coefficients in the undetermined function $h$.
 
 \begin{table}
-  \begin{tabular}{c|ccccccccc}
+  \begin{tabular}{c|cccccccccc}
      & \multicolumn{9}{c}{$n$} \\
-     & 1 & 3 & 5 & 7 & 9 & 11 & 13 & 15 & 17 \\
+     & 0 & 1 & 3 & 5 & 7 & 9 & 11 & 13 & 15 & 17 \\
     \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
+    $n_-$ & 2 & 2 & 3 & 3 & 4 & 5 & 6 & 6 & 6 \\
+    $n_0$ & 0 & 1 & 2 & 3 & 4 & 4 & 5 & 7 & 8 \\
+    $n_+$ & 2 & 2 & 2 & 4 & 4 & 6 & 6 & 6 & 8
     \\ \hline
     $\theta_c$ &
+      1.19426 &
       1.19022 &
       1.24954 &
       1.24954 &
@@ -499,6 +500,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       1.33347 &
               \\
     $A_c$ &
+      0.0982351 &
       0.100228 &
       0.0720104 &
       0.0809725 &
@@ -509,6 +511,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       0.0328499 &
                 \\
     $A_{\mathrm{YL}}$ &
+      2.38365 &
       2.3876 &
       2.37518 &
       2.46094 &
@@ -519,6 +522,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       2.4769 &
                 \\
     $F_0$ &
+      1.07666 &
       1.07383 &
       1.14375 &
       1.16003 &
@@ -529,6 +533,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       1.33327 &
                 \\
     $F_1$ &
+      2.00381 &
       1.99663 &
       2.14753 &
       2.15397 &
@@ -539,6 +544,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       2.50906 &
                 \\
     $F_2$ &
+      0.228234 &
       0.228235 &
       0.226794 &
       0.240421 &
@@ -549,6 +555,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       0.232317 &
                 \\
     $h_0$ &
+      1.19426 &
       1.19078 &
       1.2259 &
       1.18183 &
@@ -558,7 +565,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       1.21605 &
       1.21825 &
                 \\
-      $h_1/10^{-2}$ &
+      $h_1/10^{-2}$ & &
       $0.0377284$ &
       $-1.32208$ &
       $-1.98552$ &
@@ -568,7 +575,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       $-5.53426$ &
       $-5.79592$ &
                 \\
-    $h_2/10^{-3}$ &
+    $h_2/10^{-3}$ & &
        &
       1.68015 &
       3.72445 &
@@ -578,7 +585,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       9.31123 &
       9.7244 &
                 \\
-    $h_3/10^{-3}$ & &
+    $h_3/10^{-3}$ & & &
       $-0.300336$ &
       $-1.11915$ &
       $-1.68817$ &
@@ -587,7 +594,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       $-2.6766$ &
       $-2.79303$ &
                 \\
-    $h_4/10^{-4}$ & & &
+    $h_4/10^{-4}$ & & & &
       $2.59026$ &
       $4.92004$ &
       $6.6988$ &
@@ -595,7 +602,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       $8.83288$ &
       $9.25784$ &
                 \\
-    $h_5/10^{-4}$ & & &
+    $h_5/10^{-4}$ & & & &
       $-0.578821$ &
       $-1.50074$ &
       $-2.55766$ &
@@ -603,54 +610,54 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
       $-3.30063$ &
       $-3.4621$ &
                 \\
-    $h_6/10^{-4}$ & & & &
+    $h_6/10^{-4}$ & & & & &
       $0.350651$ &
       $0.965437$ &
       $1.24302$ &
       $1.29961$ &
       $1.36707$ &
                 \\
-    $h_7/10^{-5}$ & & & &
+    $h_7/10^{-5}$ & & & & &
       $-0.617004$ &
       $-3.5398$ &
       $-5.06226$ &
       $-5.40426$ &
       $-5.70884$ &
                 \\
-    $h_8/10^{-5}$ & & & & &
+    $h_8/10^{-5}$ & & & & & &
       $0.978241$ &
       $1.90968$ &
       $2.22565$ &
       $2.40644$ &
                 \\
-    $h_9/10^{-6}$ & & & & &
+    $h_9/10^{-6}$ & & & & & &
       $-1.76567$ &
       $-6.25434$ &
       $-8.84571$ &
       $-10.1167$ &
                 \\
-    $h_{10}/10^{-6}$ & & & & & &
+    $h_{10}/10^{-6}$ & & & & & & &
       $1.51279$ &
       $3.12976$ &
       $4.0249$ &
                 \\
-    $h_{11}/10^{-7}$ & & & & & &
+    $h_{11}/10^{-7}$ & & & & & & &
       $-2.17053$ &
       $-9.37655$ &
       $-14.7593$ &
                 \\
-    $h_{12}/10^{-7}$ & & & & & & &
+    $h_{12}/10^{-7}$ & & & & & & & &
       $2.0809$ &
       $4.687$ &
                 \\
-    $h_{13}/10^{-8}$ & & & & & & &
+    $h_{13}/10^{-8}$ & & & & & & & &
       $-2.83978$ &
       $-12.363$ &
                 \\
-    $h_{14}/10^{-8}$ & & & & & & & &
+    $h_{14}/10^{-8}$ & & & & & & & & &
       $2.39528$ &
                 \\
-    $h_{15}/10^{-9}$ & & & & & & & &
+    $h_{15}/10^{-9}$ & & & & & & & & &
       $-2.99667$ &
                 \\
   \end{tabular}
@@ -718,7 +725,7 @@ The scaling function has a number of free parameters: the position $\theta_c$ of
     set xlabel '$1/n$'
     set xrange [0:0.55]
     set ylabel '$\mathcal F_n/\mathcal F_{n-1}$'
-    set yrange [0:10]
+    set yrange [0:15]
 
     plot \
       dat1 using (1/$1):(abs(ratLast($2))) title 'Numeric', \
-- 
cgit v1.3

