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authorJaron Kent-Dobias <jaron@kent-dobias.com>2020-02-28 09:01:13 -0500
committerJaron Kent-Dobias <jaron@kent-dobias.com>2020-02-28 09:01:13 -0500
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Several changes.HEADmaster
- New animation for hard sphere flip where the first move looks more distinct - Colorful Cornell seal - Started trimming text to be more succinct
Diffstat (limited to 'aps_mm_2020.tex')
-rw-r--r--aps_mm_2020.tex37
1 files changed, 22 insertions, 15 deletions
diff --git a/aps_mm_2020.tex b/aps_mm_2020.tex
index 171b1ed..b97f13b 100644
--- a/aps_mm_2020.tex
+++ b/aps_mm_2020.tex
@@ -12,7 +12,7 @@
\title{Cluster-flip colloidal \& atomistic algorithms with background potentials}
\author{Jaron Kent-Dobias \and James P Sethna}
-\institute{\includegraphics[width=7em]{figs/bold_cornell_seal_black.pdf}}
+\institute{\includegraphics[width=7em]{figs/bold_cornell_seal_cmyk_red.pdf}}
\date{}
\begin{document}
@@ -34,28 +34,24 @@
\begin{column}{0.5\textwidth}
Cluster Monte Carlo famously speeds up simulation of lattice models.
+ \hfill{\scriptsize Wang \& Swendsen, Physica A \textbf{167} (1990) 565}\\
+ \hfill{\scriptsize Wolff, PRL \textbf{62} 4 (1989) 361}
+
\vspace{1em}
Recent extension for lattice models extends this to arbitrary potentials.
- \hfill{\scriptsize PRE \textbf{98} 063306 (2018)}
+ \hfill{\scriptsize Kent-Dobias \& Sethna, PRE \textbf{98} 063306}
\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}
- \frametitle{Hard sphere cluster flips}
+ \frametitle{Hard spheres without potential}
\begin{columns}
\begin{column}{0.5\textwidth}
@@ -67,6 +63,10 @@
\item \alert<6>{Transform each intersecting particle.}
\item \alert<7-12>{Repeat 5--6 until exhausted.}
\end{enumerate}
+
+ \vspace{1em}
+
+ \hfill{\scriptsize Dress \& Krauth \textit{J Phys A: Math Gen} \textbf{28} (1995) 597}
\end{column}
\begin{column}{0.5\textwidth}
\begin{overprint}
@@ -89,7 +89,7 @@
\end{frame}
\begin{frame}
- \frametitle{Softening up}
+ \frametitle{Soft spheres without potential}
\begin{columns}
\begin{column}{0.5\textwidth}
\begin{overprint}
@@ -109,7 +109,7 @@
\end{overprint}
\end{column}
\begin{column}{0.5\textwidth}
- Interacting particles with pair potential $V$ have `Ising' Hamiltonian
+ Pair potential $V$ gives `Ising' Hamiltonian:
\[
H=\sum_{ij}V_{ij}(\vec r_i, \vec r_j)
\]
@@ -128,7 +128,7 @@
\end{frame}
\begin{frame}
- \frametitle{Hard sphere cluster flips with hard potential}
+ \frametitle{Spheres in hard potential}
\begin{columns}
\begin{column}{0.5\textwidth}
Hard potential? Treat it like a particle!
@@ -166,10 +166,17 @@
\end{frame}
\begin{frame}
- \frametitle{Cluster flips with soft potential}
+ \frametitle{Spheres in soft potential}
\begin{columns}
\begin{column}{0.5\textwidth}
- Soft potential? Treat it like a (big, soft, asymmetric) particle with effective pair potential $\tilde V$!
+ Soft potential? Treat it like a particle with effective pair potential $\tilde V$!
+
+ \vspace{0.5em}
+
+ \raisebox{-0.65em}{\includegraphics[width=0.1\textwidth]{figs/ex.pdf}} --- center of attractive potential
+
+ \vspace{0.5em}
+
\begin{enumerate}
\item \alert<2>{Pick a symmetry transformation.}
\item \alert<3>{Pick a seed.}