From 71b4860a5f6d67aba24bd0061393b5727d4ef02e Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Wed, 26 Feb 2020 14:38:51 -0500 Subject: More work. --- aps_mm_2020.tex | 71 +++++++++++++++++++++++++++++++++++++++++++++++++- figs/diff_swap_1.pdf | Bin 0 -> 24955 bytes figs/diff_swap_2.pdf | Bin 0 -> 25116 bytes figs/diff_swap_22.pdf | Bin 0 -> 25238 bytes figs/diff_swap_3.pdf | Bin 0 -> 25180 bytes figs/diff_swap_4.pdf | Bin 0 -> 25309 bytes figs/diff_swap_5.pdf | Bin 0 -> 27326 bytes figs/diff_swap_6.pdf | Bin 0 -> 27142 bytes figs/diff_swap_7.pdf | Bin 0 -> 24924 bytes figs/same_swap_1.pdf | Bin 0 -> 21062 bytes figs/same_swap_2.pdf | Bin 0 -> 21226 bytes figs/same_swap_3.pdf | Bin 0 -> 21294 bytes figs/same_swap_4.pdf | Bin 0 -> 21458 bytes figs/same_swap_5.pdf | Bin 0 -> 22664 bytes figs/same_swap_6.pdf | Bin 0 -> 22234 bytes figs/same_swap_7.pdf | Bin 0 -> 21079 bytes 16 files changed, 70 insertions(+), 1 deletion(-) create mode 100644 figs/diff_swap_1.pdf create mode 100644 figs/diff_swap_2.pdf create mode 100644 figs/diff_swap_22.pdf create mode 100644 figs/diff_swap_3.pdf create mode 100644 figs/diff_swap_4.pdf create mode 100644 figs/diff_swap_5.pdf create mode 100644 figs/diff_swap_6.pdf create mode 100644 figs/diff_swap_7.pdf create mode 100644 figs/same_swap_1.pdf create mode 100644 figs/same_swap_2.pdf create mode 100644 figs/same_swap_3.pdf create mode 100644 figs/same_swap_4.pdf create mode 100644 figs/same_swap_5.pdf create mode 100644 figs/same_swap_6.pdf create mode 100644 figs/same_swap_7.pdf diff --git a/aps_mm_2020.tex b/aps_mm_2020.tex index 88ba570..171b1ed 100644 --- a/aps_mm_2020.tex +++ b/aps_mm_2020.tex @@ -23,6 +23,35 @@ \begin{frame} \frametitle{Introduction} + \begin{columns} + \begin{column}{0.5\textwidth} + \begin{overprint} + \onslide<1>\includegraphics[width=\columnwidth]{../statphys_27/figs/ising_hl_00_1} + \onslide<2>\includegraphics[width=\columnwidth]{../statphys_27/figs/ising_hl_00_2} + \onslide<3>\includegraphics[width=\columnwidth]{../statphys_27/figs/ising_hl_00_3} + \end{overprint} + \end{column} + \begin{column}{0.5\textwidth} + Cluster Monte Carlo famously speeds up simulation of lattice models. + + \vspace{1em} + + Recent extension for lattice models extends this to arbitrary potentials. + + \hfill{\scriptsize PRE \textbf{98} 063306 (2018)} + + \vspace{1em} + + That method also happens to work for spatial degrees of freedom! + + \begin{enumerate} + \item Introduce known methods without potentials. + \item Introduce new method with potentials. + \item Discuss real and speculated improvements. + \item Watch some fun demos. + \end{enumerate} + \end{column} + \end{columns} \end{frame} \begin{frame} @@ -190,7 +219,11 @@ \vspace{1em} - Careful choice of reflection plane likely important at high density. + \alert<6-12>{Careful choice of flips likely important at high density.} + + \vspace{1em} + + Addition of confining field allows these at cost of boundaries. \end{column} \begin{column}{0.5\textwidth} \begin{overprint} @@ -199,6 +232,13 @@ \onslide<3>\includegraphics[width=\textwidth]{figs/hard_torus_3.pdf} \onslide<4>\includegraphics[width=\textwidth]{figs/dimers_torus.pdf} \onslide<5>\includegraphics[width=\textwidth]{figs/dimers_field.pdf} + \onslide<6>\includegraphics[width=\textwidth]{figs/same_swap_1.pdf} + \onslide<7>\includegraphics[width=\textwidth]{figs/same_swap_2.pdf} + \onslide<8>\includegraphics[width=\textwidth]{figs/same_swap_3.pdf} + \onslide<9>\includegraphics[width=\textwidth]{figs/same_swap_4.pdf} + \onslide<10>\includegraphics[width=\textwidth]{figs/same_swap_5.pdf} + \onslide<11>\includegraphics[width=\textwidth]{figs/same_swap_6.pdf} + \onslide<12>\includegraphics[width=\textwidth]{figs/same_swap_7.pdf} \end{overprint} \end{column} \end{columns} @@ -206,6 +246,35 @@ \begin{frame} \frametitle{A better swap?} + \begin{columns} + \begin{column}{0.5\textwidth} + Swap famously speeds up formation of ultrastable computer glasses. + + \vspace{1em} + + \alert<2-4>{Chooses pair and attempts to exchange them with Metropolis rules.} + + \vspace{1em} + + \alert<5-10>{Cluster flip seeds can be constructed similarly, but fail differently.} + + \vspace{1em} + + Whether these can be tuned to improve efficiency is not known. + \end{column} + \begin{column}{0.5\textwidth} + \begin{overprint} + \onslide<1,4>\includegraphics[width=\textwidth]{figs/diff_swap_1.pdf} + \onslide<2,5>\includegraphics[width=\textwidth]{figs/diff_swap_2.pdf} + \onslide<3>\includegraphics[width=\textwidth]{figs/diff_swap_22.pdf} + \onslide<6>\includegraphics[width=\textwidth]{figs/diff_swap_3.pdf} + \onslide<7>\includegraphics[width=\textwidth]{figs/diff_swap_4.pdf} + \onslide<8>\includegraphics[width=\textwidth]{figs/diff_swap_5.pdf} + \onslide<9>\includegraphics[width=\textwidth]{figs/diff_swap_6.pdf} + \onslide<10>\includegraphics[width=\textwidth]{figs/diff_swap_7.pdf} + \end{overprint} + \end{column} + \end{columns} \end{frame} \begin{frame} diff --git a/figs/diff_swap_1.pdf b/figs/diff_swap_1.pdf new file mode 100644 index 0000000..c781aab Binary files /dev/null and b/figs/diff_swap_1.pdf differ diff --git a/figs/diff_swap_2.pdf b/figs/diff_swap_2.pdf new file mode 100644 index 0000000..9a0cfab Binary files /dev/null and b/figs/diff_swap_2.pdf differ diff --git a/figs/diff_swap_22.pdf b/figs/diff_swap_22.pdf new file mode 100644 index 0000000..2bb0e06 Binary files /dev/null and b/figs/diff_swap_22.pdf differ diff --git a/figs/diff_swap_3.pdf b/figs/diff_swap_3.pdf new file mode 100644 index 0000000..2af54dd Binary files /dev/null and b/figs/diff_swap_3.pdf differ diff --git a/figs/diff_swap_4.pdf b/figs/diff_swap_4.pdf new file mode 100644 index 0000000..2a68ec0 Binary files /dev/null and b/figs/diff_swap_4.pdf differ diff --git a/figs/diff_swap_5.pdf b/figs/diff_swap_5.pdf new file mode 100644 index 0000000..25ab864 Binary files /dev/null and b/figs/diff_swap_5.pdf differ diff --git a/figs/diff_swap_6.pdf b/figs/diff_swap_6.pdf new file mode 100644 index 0000000..f90054f Binary files /dev/null and b/figs/diff_swap_6.pdf differ diff --git a/figs/diff_swap_7.pdf b/figs/diff_swap_7.pdf new file mode 100644 index 0000000..b107eb1 Binary files /dev/null and b/figs/diff_swap_7.pdf differ diff --git a/figs/same_swap_1.pdf b/figs/same_swap_1.pdf new file mode 100644 index 0000000..3e741a2 Binary files /dev/null and b/figs/same_swap_1.pdf differ diff --git a/figs/same_swap_2.pdf b/figs/same_swap_2.pdf new file mode 100644 index 0000000..b16cc61 Binary files /dev/null and b/figs/same_swap_2.pdf differ diff --git a/figs/same_swap_3.pdf b/figs/same_swap_3.pdf new file mode 100644 index 0000000..f16e0b8 Binary files /dev/null and b/figs/same_swap_3.pdf differ diff --git a/figs/same_swap_4.pdf b/figs/same_swap_4.pdf new file mode 100644 index 0000000..ca1a765 Binary files /dev/null and b/figs/same_swap_4.pdf differ diff --git a/figs/same_swap_5.pdf b/figs/same_swap_5.pdf new file mode 100644 index 0000000..a8cde4c Binary files /dev/null and b/figs/same_swap_5.pdf differ diff --git a/figs/same_swap_6.pdf b/figs/same_swap_6.pdf new file mode 100644 index 0000000..2421e75 Binary files /dev/null and b/figs/same_swap_6.pdf differ diff --git a/figs/same_swap_7.pdf b/figs/same_swap_7.pdf new file mode 100644 index 0000000..7c20d6f Binary files /dev/null and b/figs/same_swap_7.pdf differ -- cgit v1.2.3-54-g00ecf