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-rw-r--r--fig_correlation.tex3547
-rw-r--r--figs/fig_correlation_collapse-hL.gplot22
-rw-r--r--figs/fig_correlation_data_collapse-hL.dat129
-rw-r--r--makefile20
-rw-r--r--monte-carlo.bib45
-rw-r--r--monte-carlo.tex7
6 files changed, 222 insertions, 3548 deletions
diff --git a/fig_correlation.tex b/fig_correlation.tex
deleted file mode 100644
index 7d40049..0000000
--- a/fig_correlation.tex
+++ /dev/null
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diff --git a/figs/fig_correlation_collapse-hL.gplot b/figs/fig_correlation_collapse-hL.gplot
new file mode 100644
index 0000000..23b2b52
--- /dev/null
+++ b/figs/fig_correlation_collapse-hL.gplot
@@ -0,0 +1,22 @@
+
+set terminal pslatex rotate size 3.417,2.111
+
+cc1 = "#5e81b5"
+cc2 = "#e19c24"
+cc3 = "#8fb032"
+cc4 = "#eb6235"
+
+data = "figs/fig_correlation_data_collapse-hL.dat"
+
+set logscale xy
+set xrange [0.0005:200000]
+set ylabel offset 1.5,0 '$\tau L^{-z}$'
+set xlabel '$hL^{-\beta\delta/\nu}$'
+set format x '$10^{%T}$'
+set yrange [0.09:0.8]
+set nokey
+#set ytics
+set mytics 10
+
+plot data using 2:3:4 with yerrorbars pt 0, 10**(-0.18) * x**(-0.28 * 8 / 15)
+
diff --git a/figs/fig_correlation_data_collapse-hL.dat b/figs/fig_correlation_data_collapse-hL.dat
new file mode 100644
index 0000000..edeac8e
--- /dev/null
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+256 3.276799999995636 0.4777871723067447 0. \ No newline at end of file
diff --git a/makefile b/makefile
new file mode 100644
index 0000000..2a9a11a
--- /dev/null
+++ b/makefile
@@ -0,0 +1,20 @@
+
+DOC=monte-carlo
+FIGS=fig_correlation_collapse-hL fig_correlation
+DATA=fig_correlation_data_collapse-hL
+
+all: ${DOC}.pdf
+
+%.tex: figs/%.gplot ${DATA:%=data/%.dat} ${FUNCS:%=figs/%.dat}
+ gnuplot $< > $@
+
+${DOC}.pdf: ${DOC}.tex ${DOC}.bib ${FIGS:%=%.tex}
+ rubber $(DOC).tex
+ dvipdf $(DOC).dvi
+
+clean:
+ rubber --clean $(DOC)
+ rm -f $(DOC).pdf
+ rm -f $(DOC)Notes.bib
+ rm -f ${FIGS:%=%.tex}
+
diff --git a/monte-carlo.bib b/monte-carlo.bib
new file mode 100644
index 0000000..4413e2e
--- /dev/null
+++ b/monte-carlo.bib
@@ -0,0 +1,45 @@
+
+@article{du2006dynamic,
+ title={Dynamic critical exponents for Swendsen--Wang and Wolff algorithms obtained by a nonequilibrium relaxation method},
+ author={Du, Jianqing and Zheng, Bo and Wang, Jian-Sheng},
+ journal={Journal of Statistical Mechanics: Theory and Experiment},
+ volume={2006},
+ number={05},
+ pages={P05004},
+ year={2006},
+ publisher={IOP Publishing}
+}
+
+@article{liu2014dynamic,
+ title={Dynamic scaling at classical phase transitions approached through nonequilibrium quenching},
+ author={Liu, Cheng-Wei and Polkovnikov, Anatoli and Sandvik, Anders W},
+ journal={Physical Review B},
+ volume={89},
+ number={5},
+ pages={054307},
+ year={2014},
+ publisher={APS}
+}
+
+@article{wolff1989collective,
+ title={Collective Monte Carlo updating for spin systems},
+ author={Wolff, Ulli},
+ journal={Physical Review Letters},
+ volume={62},
+ number={4},
+ pages={361},
+ year={1989},
+ publisher={APS}
+}
+
+@article{wolff1989comparison,
+ title={Comparison between cluster Monte Carlo algorithms in the Ising model},
+ author={Wolff, Ulli},
+ journal={Physics Letters B},
+ volume={228},
+ number={3},
+ pages={379--382},
+ year={1989},
+ publisher={Elsevier}
+}
+
diff --git a/monte-carlo.tex b/monte-carlo.tex
index d3c3548..fe2a315 100644
--- a/monte-carlo.tex
+++ b/monte-carlo.tex
@@ -82,7 +82,7 @@
\begin{document}
-\title{A cluster algorithm for the Ising model in an external field}
+\title{An efficient cluster algorithm for the Ising model in an external field}
\author{Jaron Kent-Dobias}
\author{James P.~Sethna}
\affiliation{Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, NY, USA}
@@ -407,6 +407,11 @@ bottom plot is for simulations at }
\label{fig:correlation}
\end{figure}
+\begin{figure}
+ \centering
+ \input{fig_correlation_collapse-hL}
+\end{figure}
+
\section{Magnetization Estimator}
At any size, the ensemble average magnetization $\avg M$ is identically zero