From 8e1f4cd5dd4294cc4d09b624f9baad5214b40fc4 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Wed, 13 Oct 2021 17:12:08 +0200
Subject: Data work.
---
ising_scaling.tex | 281 ++++++++++++++++++++----------------------------------
1 file changed, 101 insertions(+), 180 deletions(-)
diff --git a/ising_scaling.tex b/ising_scaling.tex
index aea42d0..47b58ec 100644
--- a/ising_scaling.tex
+++ b/ising_scaling.tex
@@ -21,6 +21,8 @@
\usepackage{xcolor}
\usepackage{tikz-cd}
\usepackage[subfolder]{gnuplottex} % need to compile separately for APS
+\usepackage{setspace}
+\usepackage{tabularx}
\begin{document}
@@ -507,186 +509,105 @@ fixing $B$ and $F_c$. Since $A$ and $\tilde B$ are known exactly, these forms ca
\end{table}
\begin{table}
- \begin{tabular}{c|cccccccccc}
- & \multicolumn{9}{c}{$n$} \\
- & 0 & 1 & 3 & 5 & 7 & 9 & 11 & 13 & 15 & 17 \\
- \hline\hline
- $n_-$ & 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 &
- 1.27419 &
- 1.28016 &
- 1.31927 &
- 1.32612 &
- 1.33347 &
- \\
- $A_c$ &
- 0.0982351 &
- 0.100228 &
- 0.0720104 &
- 0.0809725 &
- 0.0561657 &
- 0.0530319 &
- 0.0377424 &
- 0.0353443 &
- 0.0328499 &
- \\
- $A_{\mathrm{YL}}$ &
- 2.38365 &
- 2.3876 &
- 2.37518 &
- 2.46094 &
- 2.45696 &
- 2.47971 &
- 2.4754 &
- 2.47666 &
- 2.4769 &
- \\
- $F_0$ &
- 1.07666 &
- 1.07383 &
- 1.14375 &
- 1.16003 &
- 1.23109 &
- 1.25496 &
- 1.31044 &
- 1.32179 &
- 1.33327 &
- \\
- $F_1$ &
- 2.00381 &
- 1.99663 &
- 2.14753 &
- 2.15397 &
- 2.30314 &
- 2.34538 &
- 2.46209 &
- 2.48527 &
- 2.50906 &
- \\
- $F_2$ &
- 0.228234 &
- 0.228235 &
- 0.226794 &
- 0.240421 &
- 0.218875 &
- 0.228138 &
- 0.224167 &
- 0.231472 &
- 0.232317 &
- \\
- $h_0$ &
- 1.19426 &
- 1.19078 &
- 1.2259 &
- 1.18183 &
- 1.20578 &
- 1.19878 &
- 1.21439 &
- 1.21605 &
- 1.21825 &
- \\
- $h_1/10^{-2}$ & &
- $0.0377284$ &
- $-1.32208$ &
- $-1.98552$ &
- $-3.4617$ &
- $-4.05948$ &
- $-5.27306$ &
- $-5.53426$ &
- $-5.79592$ &
- \\
- $h_2/10^{-3}$ & &
- &
- 1.68015 &
- 3.72445 &
- 5.89419 &
- 7.03625 &
- 8.88373 &
- 9.31123 &
- 9.7244 &
- \\
- $h_3/10^{-3}$ & & &
- $-0.300336$ &
- $-1.11915$ &
- $-1.68817$ &
- $-2.06784$ &
- $-2.55373$ &
- $-2.6766$ &
- $-2.79303$ &
- \\
- $h_4/10^{-4}$ & & & &
- $2.59026$ &
- $4.92004$ &
- $6.6988$ &
- $8.39954$ &
- $8.83288$ &
- $9.25784$ &
- \\
- $h_5/10^{-4}$ & & & &
- $-0.578821$ &
- $-1.50074$ &
- $-2.55766$ &
- $-3.15364$ &
- $-3.30063$ &
- $-3.4621$ &
- \\
- $h_6/10^{-4}$ & & & & &
- $0.350651$ &
- $0.965437$ &
- $1.24302$ &
- $1.29961$ &
- $1.36707$ &
- \\
- $h_7/10^{-5}$ & & & & &
- $-0.617004$ &
- $-3.5398$ &
- $-5.06226$ &
- $-5.40426$ &
- $-5.70884$ &
- \\
- $h_8/10^{-5}$ & & & & & &
- $0.978241$ &
- $1.90968$ &
- $2.22565$ &
- $2.40644$ &
- \\
- $h_9/10^{-6}$ & & & & & &
- $-1.76567$ &
- $-6.25434$ &
- $-8.84571$ &
- $-10.1167$ &
- \\
- $h_{10}/10^{-6}$ & & & & & & &
- $1.51279$ &
- $3.12976$ &
- $4.0249$ &
- \\
- $h_{11}/10^{-7}$ & & & & & & &
- $-2.17053$ &
- $-9.37655$ &
- $-14.7593$ &
- \\
- $h_{12}/10^{-7}$ & & & & & & & &
- $2.0809$ &
- $4.687$ &
- \\
- $h_{13}/10^{-8}$ & & & & & & & &
- $-2.83978$ &
- $-12.363$ &
- \\
- $h_{14}/10^{-8}$ & & & & & & & & &
- $2.39528$ &
- \\
- $h_{15}/10^{-9}$ & & & & & & & & &
- $-2.99667$ &
- \\
+ \singlespacing
+ \begin{tabular}{c|llllllll}
+ \multicolumn{1}{c|}{$n$} &
+ \multicolumn{1}{c}{$\theta_\mathrm{YL}$} &
+ \multicolumn{1}{c}{$A_\mathrm{YL}$} &
+ \multicolumn{1}{c}{$F_1$} &
+ \multicolumn{1}{c}{$F_2$} &
+ \multicolumn{1}{c}{$F_3$} &
+ \multicolumn{1}{c}{$F_4$} &
+ \multicolumn{1}{c}{$F_5$} &
+ \multicolumn{1}{c}{$F_6$} \\
+ \hline
+ 2 &
+ 0.18041 &
+ 2.1295 &
+ 1.2447 &
+ 0.49975 \\
+ 3 &
+ 0.19613 &
+ 2.1999 &
+ 1.2402 &
+ 0.39028 \\
+ 4 &
+ 0.19563 &
+ 2.2433 &
+ 1.2964 &
+ 0.37080 &
+ $-0.028926$ \\
+ 5 &
+ 0.19553 &
+ 2.2321 &
+ 1.2804 &
+ 0.36318 &
+ $-0.028924$ & & \\
+ 6 &
+ 0.19737 &
+ 2.3981 &
+ 1.5091 &
+ 0.39200 &
+ $-0.090023$ &
+ 0.017233 & \\
+ 7 &
+ 0.19730 &
+ 2.4229 &
+ 1.5454 &
+ 0.41320 &
+ $-0.12161$ &
+ 0.026346 & \\
+ 8 &
+ 0.19655 &
+ 2.5513 &
+ 1.7323 &
+ 0.59677 &
+ $-0.29521$ &
+ 0.078509 &
+ $-0.0072514$ \\
+ 9 &
+ 1.3754 &
+ 0.19652 &
+ 2.5482 &
+ 1.7278 &
+ 0.60278 &
+ $-0.28737$ &
+ 0.072411 &
+ $-0.0072455$ \\
+ \hline
+ \end{tabular}
+ \begin{tabular}{c|llllllll}
+ \hline
+ $n$ &
+ \multicolumn{1}{c}{$\theta_0$} &
+ \multicolumn{1}{c}{$h_1$} &
+ \multicolumn{1}{c}{$h_2$} &
+ \multicolumn{1}{c}{$h_3$} &
+ \multicolumn{1}{c}{$h_4$} &
+ \multicolumn{1}{c}{$h_5$} &
+ \multicolumn{1}{c}{$h_6$} &
+ \multicolumn{1}{c}{$h_7$} \\
+ \hline
+ 2 &
+ 1.2114 \\
+ 3 &
+ 1.3498 &
+ $-0.014909$ \\
+ 4 &
+ 1.4490 &
+ $-0.10871$ & $-0.0031747$ \\
+ 5 &
+ 1.4719 &
+ $-0.11399$ & $-0.0031669$ & $8.8574\times10^{-7}$ \\
+ 6 &
+ 1.4358 &
+ $-0.19533$ & 0.029301 & 0.0039906 & $-0.00011913$ \\
+ 7 &
+ 1.4324 &
+ $-0.22077$ & 0.036245 & 0.010120 & $-0.0011434$ & 0.00010095 \\
+ 8 &
+ 1.3710 &
+ $-0.35150$ & 0.0050232 & 0.053659 & $-0.019806$ & 0.0033531 & $-0.00026034$ \\
\end{tabular}
\end{table}
--
cgit v1.2.3-70-g09d2