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authorJaron Kent-Dobias <jaron@kent-dobias.com>2018-05-09 18:01:34 -0400
committerJaron Kent-Dobias <jaron@kent-dobias.com>2018-05-09 18:01:34 -0400
commitf18c2b124885a1ba7ed3ebd263da4679c2efed4e (patch)
tree92bd63216df3cf68e5bc6b20e14fc48e4ddb6481
parent3902c90c737febdd0a501a8762e2ab4e4d1a6513 (diff)
downloadPRE_98_063306-f18c2b124885a1ba7ed3ebd263da4679c2efed4e.tar.gz
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final changes before submissionarxiv_v1
-rw-r--r--autocorrelation.dat116
-rw-r--r--data/autocorrelation.dat121
-rw-r--r--fig_clusters_ising2d.eps8556
-rw-r--r--fig_clusters_ising2d.tex94
-rw-r--r--fig_correlation-temp.tex4
-rw-r--r--fig_correlation.tex4
-rw-r--r--fig_correlation_collapse-hL.tex1781
-rw-r--r--fig_metastable.tex4
-rw-r--r--figs/fig_clusters_ising2d.gplot13
-rw-r--r--figs/fig_correlation_collapse-hL.gplot10
-rw-r--r--monte-carlo.pdfbin193213 -> 191228 bytes
-rw-r--r--monte-carlo.tex5
12 files changed, 5346 insertions, 5362 deletions
diff --git a/autocorrelation.dat b/autocorrelation.dat
new file mode 100644
index 0000000..d0c5af8
--- /dev/null
+++ b/autocorrelation.dat
@@ -0,0 +1,116 @@
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diff --git a/data/autocorrelation.dat b/data/autocorrelation.dat
new file mode 100644
index 0000000..2d4fcb2
--- /dev/null
+++ b/data/autocorrelation.dat
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diff --git a/fig_correlation-temp.tex b/fig_correlation-temp.tex
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diff --git a/fig_metastable.tex b/fig_metastable.tex
index 641ad5d..1b757ae 100644
--- a/fig_metastable.tex
+++ b/fig_metastable.tex
@@ -8,7 +8,7 @@
{\GNUPLOTspecial{"
%!PS-Adobe-2.0 EPSF-2.0
%%Creator: gnuplot 5.2 patchlevel 2
-%%CreationDate: Thu Apr 26 20:22:42 2018
+%%CreationDate: Wed May 9 17:24:16 2018
%%DocumentFonts:
%%BoundingBox: 0 0 246 151
%%EndComments
@@ -448,7 +448,7 @@ SDict begin [
/Creator (gnuplot 5.2 patchlevel 2)
% /Producer (gnuplot)
% /Keywords ()
- /CreationDate (Thu Apr 26 20:22:42 2018)
+ /CreationDate (Wed May 9 17:24:16 2018)
/DOCINFO pdfmark
end
} ifelse
diff --git a/figs/fig_clusters_ising2d.gplot b/figs/fig_clusters_ising2d.gplot
index cfbc7c9..61172db 100644
--- a/figs/fig_clusters_ising2d.gplot
+++ b/figs/fig_clusters_ising2d.gplot
@@ -23,7 +23,7 @@ set xrange [0.000005:12000000]
set multiplot layout 2,3
-set size 0.36, 0.5
+set size 0.38, 0.5
dataIsing2D = "data/cluster-size/cluster-size_ising2d.dat"
@@ -41,6 +41,8 @@ gammaIsing2D = 7.0 / 4.0
plot dataIsing2D using ($3/$2 * exp(log($1) * betaIsing2D * deltaIsing2D / nuIsing2D)):($4 * exp(-log($1) * gammaIsing2D / nuIsing2D)):($5 * exp(-log($1) * gammaIsing2D/nuIsing2D)):1 with yerrorbars pt 0 lw 2 palette, dataIsing2D using ($3/$2 * exp(log($1) * betaIsing2D * deltaIsing2D / nuIsing2D)):($4 * exp(-log($1) * gammaIsing2D / nuIsing2D)):1 with lines palette, 1.5 * exp(log(x) * 2 / deltaIsing2D) with lines lc black
unset label
+set origin 0.35, 0.5
+set size 0.35, 0.5
data3Potts2D = "data/cluster-size/cluster-size_3potts2d.dat"
@@ -60,7 +62,7 @@ gamma3Potts2D = 13.0 / 9.0
plot data3Potts2D using ($3/$2 * exp(log($1) * beta3Potts2D * delta3Potts2D / nu3Potts2D)):($4 * exp(-log($1) * gamma3Potts2D / nu3Potts2D)):($5 * exp(-log($1) * gamma3Potts2D/nu3Potts2D)):1 with yerrorbars pt 0 lw 2 palette, data3Potts2D using ($3/$2 * exp(log($1) * beta3Potts2D * delta3Potts2D / nu3Potts2D)):($4 * exp(-log($1) * gamma3Potts2D / nu3Potts2D)):1 with lines palette, 1.2 * exp(log(x) * 2 / delta3Potts2D) with lines lc black
unset label
-set size 0.36, 0.5
+set size 0.38, 0.5
data2Vector3D = "data/cluster-size/cluster-size_2vector3d.dat"
@@ -79,7 +81,7 @@ plot data2Vector3D using ($3/$2 * exp(log($1) * beta2Vector3D * delta2Vector3D /
unset label
set origin -0.05,0.0
-set size 0.41, 0.55
+set size 0.43, 0.55
dataIsing3D = "data/cluster-size/cluster-size_ising3d.dat"
@@ -101,7 +103,8 @@ plot dataIsing3D using ($3/$2 * exp(log($1) * betaIsing3D * deltaIsing3D / nuIsi
unset label
unset ylabel
-set size 0.333, 0.55
+set origin 0.35, 0
+set size 0.35, 0.55
data4Potts2D = "data/cluster-size/cluster-size_4potts2d.dat"
@@ -118,7 +121,7 @@ gamma4Potts2D = 7.0 / 6.0
plot data4Potts2D using ($3/$2 * exp(log($1) * beta4Potts2D * delta4Potts2D / nu4Potts2D)):($4 * exp(-log($1) * gamma4Potts2D / nu4Potts2D)):($5 * exp(-log($1) * gamma4Potts2D/nu4Potts2D)):1 with yerrorbars pt 0 lw 2 palette, data4Potts2D using ($3/$2 * exp(log($1) * beta4Potts2D * delta4Potts2D / nu4Potts2D)):($4 * exp(-log($1) * gamma4Potts2D / nu4Potts2D)):1 with lines palette, 1.2 * exp(log(x) * 2 / delta4Potts2D) with lines lc black
unset label
-set size 0.36, 0.55
+set size 0.38, 0.55
data3Vector3D = "data/cluster-size/cluster-size_3vector3d.dat"
diff --git a/figs/fig_correlation_collapse-hL.gplot b/figs/fig_correlation_collapse-hL.gplot
index 1c3be1e..fb2f93a 100644
--- a/figs/fig_correlation_collapse-hL.gplot
+++ b/figs/fig_correlation_collapse-hL.gplot
@@ -10,7 +10,7 @@ cc6 = "#c56e1a"
set palette model RGB defined ( 8 cc1, 16 cc2, 32 cc3, 64 cc4, 128 cc5, 256 cc6 )
-data = "data/correlation.dat"
+dataIsing2D = "data/autocorrelation.dat"
set logscale xy
set xrange [0.0005:200000]
@@ -22,5 +22,11 @@ set nokey
set ytics 0.1,0.1,1.2
unset colorbox
-plot data using 2:3:4:1 with yerrorbars pt 0 lw 2 palette, 10**(-0.13) * x**(-0.3 * 8 / 15) lc black
+betaIsing2D = 1.0 / 8.0
+nuIsing2D = 1.0
+deltaIsing2D = 15.0
+gammaIsing2D = 7.0 / 4.0
+zIsing2D = 0.30
+
+plot dataIsing2D using ($3/$2 * exp(log($1) * betaIsing2D * deltaIsing2D / nuIsing2D)):($4 * exp(-log($1) * zIsing2D)):($5 * exp(-log($1) * zIsing2D)):1 with yerrorbars pt 0 lw 2 palette, dataIsing2D using ($3/$2 * exp(log($1) * betaIsing2D * deltaIsing2D / nuIsing2D)):($4 * exp(-log($1) * zIsing2D)):1 with lines palette, 1.0 * exp(- log(x) * zIsing2D * nuIsing2D / betaIsing2D / deltaIsing2D) with lines lc black
diff --git a/monte-carlo.pdf b/monte-carlo.pdf
index 41b32e6..c7ad3f9 100644
--- a/monte-carlo.pdf
+++ b/monte-carlo.pdf
Binary files differ
diff --git a/monte-carlo.tex b/monte-carlo.tex
index 8eef5b0..f88a053 100644
--- a/monte-carlo.tex
+++ b/monte-carlo.tex
@@ -467,12 +467,13 @@ extension to finite field of the behavior at zero field.
\begin{figure}
\centering
\input{fig_correlation_collapse-hL}
- \caption{Collapses of the correlation time $\tau$ of the 2D square lattice
+ \caption{Collapse of the correlation time $\tau$ of the 2D square lattice
Ising model along the critical isotherm at various systems sizes
$N=L\times L$ for $L=8$, $16$, $32$, $64$, $128$, and $256$ as a function
of the renormalization invariant $hL^{\beta\delta/\nu}$. The exponent
$z=0.30$ is taken from recent measurements at zero field
- \cite{liu_dynamic_2014}.
+ \cite{liu_dynamic_2014}. The solid black line shows a plot of
+ $(hL^{\beta\delta/\nu})^{-z\nu/\beta\delta}$.
}
\label{fig:correlation_time-collapse}
\end{figure}