diff options
-rw-r--r-- | fig_correlation.tex | 3547 | ||||
-rw-r--r-- | figs/fig_correlation_collapse-hL.gplot | 22 | ||||
-rw-r--r-- | figs/fig_correlation_data_collapse-hL.dat | 129 | ||||
-rw-r--r-- | makefile | 20 | ||||
-rw-r--r-- | monte-carlo.bib | 45 | ||||
-rw-r--r-- | monte-carlo.tex | 7 |
6 files changed, 222 insertions, 3548 deletions
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-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 @@ -0,0 +1,129 @@ +16 0.0018101933598271736 0.626255517869335 0.0015895449562703824 +16 0.002868963133021767 0.6274426596089346 0.0010815825372510028 +16 0.0045470001390226075 0.6265166979544707 0.0011399251629057028 +16 0.007206509566373511 0.6332307286578386 0.0036112037029091327 +16 0.011421547953193441 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\ 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 |