added makefile, new figure, bibliography

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
@@ -1,3547 +0,0 @@
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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
+++ b/figs/fig_correlation_data_collapse-hL.dat
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+128	893.3439345993783	0.17525595209598482	0.00013628284241916366
+128	1415.8547204729814	0.16083831181683386	0.000038393852729745597
+128	2243.9785079915646	0.14755136241680297	0.000010427848840532938
+128	3556.4662613448777	0.13613167291690653	0.00003824559764080415
+128	5636.619166823122	0.12770211002072657	0.000480391007107131
+128	8933.43934599379	0.12140474759127326	0.000021786704140921986
+128	14158.547204729826	0.1304089776503813	0.
+128	22439.785079915637	0.11590410749694247	0.
+128	35564.66261344877	0.11053344320283695	0.
+128	56366.191668231244	0.11290716591905191	0.
+128	89334.39345993791	42.3724331482014	0.
+256	0.32767999999811953	0.6075086695911571	0.002178147172579081
+256	0.519337801301477	0.5847006386014801	0.0013928429465341339
+256	0.8230949458839193	0.5812979760560055	0.0009786732427118916
+256	1.3045175764655195	0.558369942231818	0.
+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