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Diffstat (limited to 'ising_scaling.tex')
| -rw-r--r-- | ising_scaling.tex | 52 |
1 files changed, 51 insertions, 1 deletions
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} |