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-rw-r--r--data/ghigh_series_ours_7.dat14
-rw-r--r--data/glow_series_caselle.dat4
-rw-r--r--data/glow_series_ours_7.dat28
-rw-r--r--data/phi_comparison.dat6
-rw-r--r--data/phi_series_ours_7.dat30
-rw-r--r--ising_scaling.tex21
6 files changed, 53 insertions, 50 deletions
diff --git a/data/ghigh_series_ours_7.dat b/data/ghigh_series_ours_7.dat
index f04ec9a..c741c21 100644
--- a/data/ghigh_series_ours_7.dat
+++ b/data/ghigh_series_ours_7.dat
@@ -1,15 +1,15 @@
0 0
1 0
-2 -1.8452280782327282
+2 -1.8452280782332555
3 0
-4 8.333711750001072
+4 8.333711749999702
5 0
-6 -95.16896974826047
+6 -95.16895999449589
7 0
-8 1459.2725052155863
+8 1458.9121603107942
9 0
-10 -25965.218476929924
+10 -25946.385138413687
11 0
-12 505499.83316880156
+12 504818.9416671782
13 0
-14 -1.045187965381806e7 \ No newline at end of file
+14 -1.0430469605636101e7 \ No newline at end of file
diff --git a/data/glow_series_caselle.dat b/data/glow_series_caselle.dat
index 94af411..9ab5b5f 100644
--- a/data/glow_series_caselle.dat
+++ b/data/glow_series_caselle.dat
@@ -12,6 +12,4 @@
11 66.44778572365097
12 -242.23334827652096
13 908.6585949684338
-14 -3491.621379722553
-15 13695.711518917215
-16 -54683.36768903583 \ No newline at end of file
+14 -3491.621379722553 \ No newline at end of file
diff --git a/data/glow_series_ours_7.dat b/data/glow_series_ours_7.dat
index 57c296e..0ce2c30 100644
--- a/data/glow_series_ours_7.dat
+++ b/data/glow_series_ours_7.dat
@@ -1,15 +1,15 @@
0 0
-1 -1.3578383417064246
-2 -0.04895328972073276
-3 0.0388639319807685
-4 -0.0683621190171948
-5 0.18388371006493193
-6 -0.6591700284734543
-7 2.9376649572116706
-8 -15.650672904822775
-9 97.8157307245317
-10 -715.1332459887362
-11 6134.459396172452
-12 -61300.871913673116
-13 695756.7781877253
-14 -8.661777642079353e6 \ No newline at end of file
+1 -1.3578383417071378
+2 -0.0489532896924505
+3 0.03886393203689901
+4 -0.06836211898279505
+5 0.18388369990213202
+6 -0.6591713989206053
+7 2.9376650228981847
+8 -15.651696905398756
+9 97.8577984715495
+10 -716.1239369346793
+11 6152.590117383402
+12 -61588.397522643165
+13 699918.6378888936
+14 -8.71835624553909e6 \ No newline at end of file
diff --git a/data/phi_comparison.dat b/data/phi_comparison.dat
index 14c1885..d111f53 100644
--- a/data/phi_comparison.dat
+++ b/data/phi_comparison.dat
@@ -1,6 +1,6 @@
2 0.0015185988806263317 0.0016424512339846542 0.00010931409748554666 0.0014019918834638455 0.0009799159023033766
3 0.0007353808953864949 0.0014547698806950948 0.0011618922642676333 0.0001926030528925822 0.0004716780917582721
4 0.0006832169448554026 0.0015493096608610868 0.001202074914739018 0.00024563197897510894 0.0011902522778089069
-5 0.00003083151013294483 0.000024777126610253664 0.00004067889303242811 0.00008916575299173363 0.00006668594729061653
-6 0.000012555575489514581 0.000011541389969949023 0.00003418912424536791 0.00009040132752613159 0.00009049768674665578
-7 3.513158584711462e-6 5.987223218928417e-6 4.50941314238118e-6 0.000026308155365337843 0.000039381306641833976 \ No newline at end of file
+5 0.0001498262988313126 0.00034058740497194817 0.0003177652580080431 0.00008748091339953398 0.00012570023181056306
+6 9.052199169801156e-6 0.00003198782581631532 0.00005362053295303315 0.00005162642890723171 0.00002227019515451439
+7 5.551832441996751e-6 0.000013915434556921458 9.941126498061448e-6 0.000011350077847509937 0.00003260973372059311 \ No newline at end of file
diff --git a/data/phi_series_ours_7.dat b/data/phi_series_ours_7.dat
index 99327e0..1abe430 100644
--- a/data/phi_series_ours_7.dat
+++ b/data/phi_series_ours_7.dat
@@ -1,15 +1,15 @@
-0 -1.1977368969565774
-1 -0.3188041376673911
-2 0.11089070609614263
-3 0.016400586494634634
-4 -0.00022461649335827244
-5 -0.0005419461053317587
-6 0.00020777185607759012
-7 -0.000019522425852783054
-8 -0.000028575262763021038
-9 0.000018508931651524665
-10 2.4684530387790923e-6
-11 -0.00001386324407561593
-12 0.000012351405349898752
-13 -4.013977152632507e-6
-14 -3.4457964718639657e-6 \ No newline at end of file
+0 -1.197738935630435
+1 -0.3187962094560541
+2 0.11087625555650156
+3 0.01641554457215232
+4 -0.0002313880662793329
+5 -0.0005470602060848669
+6 0.00022022744492094208
+7 -0.000030545772578614825
+8 -0.0000251582407208451
+9 0.000022647316700275724
+10 -4.5376459816374755e-6
+11 -9.018693083452496e-6
+12 0.000011784720873549033
+13 -6.568183934648514e-6
+14 -3.815096896634531e-7 \ No newline at end of file
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{