From 2d3bbbe56c6d54fa63d5c39f8122b6c68b6368d4 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Fri, 28 Feb 2020 09:01:13 -0500 Subject: Several changes. - New animation for hard sphere flip where the first move looks more distinct - Colorful Cornell seal - Started trimming text to be more succinct --- aps_mm_2020.tex | 37 ++++++++++++++++++++++--------------- 1 file changed, 22 insertions(+), 15 deletions(-) (limited to 'aps_mm_2020.tex') 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.} -- cgit v1.2.3-54-g00ecf