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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2021-10-25 15:42:00 +0200 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2021-10-25 15:42:00 +0200 |
commit | e059c479bcd4c87c36c2cd307a8c2ec4fb08436e (patch) | |
tree | f3b97d363f1216fb902e9cdd2c1c4f759bc4bd65 /ising_scaling.tex | |
parent | 196a3b808eefe56e97d409626096621b0cf64780 (diff) | |
download | paper-e059c479bcd4c87c36c2cd307a8c2ec4fb08436e.tar.gz paper-e059c479bcd4c87c36c2cd307a8c2ec4fb08436e.tar.bz2 paper-e059c479bcd4c87c36c2cd307a8c2ec4fb08436e.zip |
New data.
Diffstat (limited to 'ising_scaling.tex')
-rw-r--r-- | ising_scaling.tex | 21 |
1 files changed, 13 insertions, 8 deletions
diff --git a/ising_scaling.tex b/ising_scaling.tex index 62495fc..2fa2528 100644 --- a/ising_scaling.tex +++ b/ising_scaling.tex @@ -584,7 +584,7 @@ use these coefficients to fix the unknown functions $G$ and $g$, the error in the approximate functions and their derivatives can be evaluated by comparison to their known values at the critical isotherm, or $\theta=1$. -\begin{table}\label{tab:fits} +\begin{table} \begin{tabular}{l|lll} \multicolumn1{c|}{$m$} & \multicolumn{1}{c}{$\mathcal F_-^{(m)}$} & \multicolumn{1}{c}{$\mathcal F_0^{(m)}$} & \multicolumn1c{$\mathcal F_+^{(m)}$} \\\hline 0 & \hphantom{$-$}0 & $-1.197\,733\,383\,797\ldots$ & \hphantom{$-$}0 \\ @@ -610,7 +610,7 @@ to their known values at the critical isotherm, or $\theta=1$. \cite{Mangazeev_2008_Variational}. Those without are taken from Fonseca \textit{et al.}, and are assumed to be accurate to within their last digit \cite{Fonseca_2003_Ising}. - } + } \label{tab:fits} \end{table} \begin{table} @@ -723,9 +723,9 @@ to their known values at the critical isotherm, or $\theta=1$. set xlabel '$n$' set xrange [1.5:7.5] - set ylabel '$|\Delta\mathcal F_0^{(m)}|$' - set format y '$10^{%T}$' set logscale y + set format y '$10^{%T}$' + set ylabel '$|\Delta\mathcal F_0^{(m)}|$' set yrange [0.000002:0.003] set style data linespoints @@ -758,19 +758,21 @@ accurate to within $2\times10^{-3}$. This approximation for the scaling function \begin{gnuplot}[terminal=epslatex] dat1 = 'data/glow_numeric.dat' dat2 = 'data/glow_series_ours_0.dat' - dat3 = 'data/glow_series_ours_9.dat' + dat3 = 'data/glow_series_ours_7.dat' dat4 = 'data/glow_series_caselle.dat' + set xlabel '$m$' + set xrange [0:14.5] + set key top left Left reverse set logscale y - set xlabel '$m$' set ylabel '$\mathcal F_-^{(m)}$' set format y '$10^{%T}$' - set xrange [0:14.5] plot \ dat1 using 1:(abs($2)):3 title 'Numeric' with yerrorbars, \ dat2 using 1:(abs($2)) title 'This work ($n=2$)', \ + dat3 using 1:(abs($2)) title 'This work ($n=7$)', \ dat4 using 1:(abs($2)) title 'Caselle \textit{et al.}' \end{gnuplot} \caption{ @@ -785,7 +787,7 @@ accurate to within $2\times10^{-3}$. This approximation for the scaling function \begin{gnuplot}[terminal=epslatex] dat1 = 'data/glow_numeric.dat' dat2 = 'data/glow_series_ours_0.dat' - dat3 = 'data/glow_series_ours_9.dat' + dat3 = 'data/glow_series_ours_7.dat' dat4 = 'data/glow_series_caselle.dat' ratLast(x) = (back2 = back1, back1 = x, back1 / back2) back1 = 0 @@ -799,6 +801,7 @@ accurate to within $2\times10^{-3}$. This approximation for the scaling function plot \ dat1 using (1/$1):(abs(ratLast($2))) title 'Numeric', \ dat2 using (1/$1):(abs(ratLast($2))) title 'This work ($n=2$)', \ + dat3 using (1/$1):(abs(ratLast($2))) title 'This work ($n=7$)', \ dat4 using (1/$1):(abs(ratLast($2))) title 'Caselle \textit{et al.}' \end{gnuplot} \caption{ @@ -813,6 +816,7 @@ accurate to within $2\times10^{-3}$. This approximation for the scaling function \begin{gnuplot}[terminal=epslatex] dat1 = 'data/ghigh_numeric.dat' dat2 = 'data/ghigh_series_ours_2.dat' + dat3 = 'data/ghigh_series_ours_7.dat' dat4 = 'data/ghigh_caselle.dat' set key top left Left reverse @@ -825,6 +829,7 @@ accurate to within $2\times10^{-3}$. This approximation for the scaling function plot \ dat1 using 1:(abs($2)):3 title 'Numeric' with yerrorbars, \ dat2 using 1:(abs($2)) title 'This work ($n=2$)', \ + dat3 using 1:(abs($2)) title 'This work ($n=7$)', \ dat4 using 1:(abs($2)) title 'Caselle \textit{et al.}' \end{gnuplot} \caption{ |