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\title{Cluster-flip colloidal and atomistic algorithms with background potentials}
\author{Jaron Kent-Dobias \and James P Sethna}
\institute{Cornell University}
\date{}

\begin{document}

\begin{frame}
  \maketitle
\end{frame}

\begin{frame}
  \frametitle{Introduction}
\end{frame}

\begin{frame}
  \frametitle{Hard sphere cluster flips}
  
  \begin{columns}
    \begin{column}{0.5\textwidth}
    \end{column}
    \begin{column}{0.5\textwidth}
      \begin{overprint}
        \onslide<1>\includegraphics[width=\textwidth]{figs/hard_free_1.pdf}
        \onslide<2>\includegraphics[width=\textwidth]{figs/hard_free_2.pdf}
        \onslide<3>\includegraphics[width=\textwidth]{figs/hard_free_3.pdf}
        \onslide<4>\includegraphics[width=\textwidth]{figs/hard_free_4.pdf}
        \onslide<5>\includegraphics[width=\textwidth]{figs/hard_free_5.pdf}
        \onslide<6>\includegraphics[width=\textwidth]{figs/hard_free_6.pdf}
        \onslide<7>\includegraphics[width=\textwidth]{figs/hard_free_7.pdf}
        \onslide<8>\includegraphics[width=\textwidth]{figs/hard_free_8.pdf}
        \onslide<9>\includegraphics[width=\textwidth]{figs/hard_free_9.pdf}
        \onslide<10>\includegraphics[width=\textwidth]{figs/hard_free_10.pdf}
        \onslide<11>\includegraphics[width=\textwidth]{figs/hard_free_11.pdf}
        \onslide<12>\includegraphics[width=\textwidth]{figs/hard_free_12.pdf}
        \onslide<13>\includegraphics[width=\textwidth]{figs/hard_free_13.pdf}
      \end{overprint}
    \end{column}
  \end{columns}
\end{frame}

\begin{frame}
  \frametitle{Softening up}
  \begin{columns}
    \begin{column}{0.5\textwidth}
      \begin{overprint}
        \onslide<1>\includegraphics[width=\textwidth]{figs/soft_free_1.pdf}
        \onslide<2>\includegraphics[width=\textwidth]{figs/soft_free_2.pdf}
        \onslide<3>\includegraphics[width=\textwidth]{figs/soft_free_3.pdf}
        \onslide<4>\includegraphics[width=\textwidth]{figs/soft_free_4.pdf}
        \onslide<5>\includegraphics[width=\textwidth]{figs/soft_free_5.pdf}
        \onslide<6>\includegraphics[width=\textwidth]{figs/soft_free_6.pdf}
        \onslide<7>\includegraphics[width=\textwidth]{figs/soft_free_7.pdf}
        \onslide<8>\includegraphics[width=\textwidth]{figs/soft_free_8.pdf}
        \onslide<9>\includegraphics[width=\textwidth]{figs/soft_free_9.pdf}
        \onslide<10>\includegraphics[width=\textwidth]{figs/soft_free_10.pdf}
        \onslide<11>\includegraphics[width=\textwidth]{figs/soft_free_11.pdf}
      \end{overprint}
    \end{column}
    \begin{column}{0.5\textwidth}
      \[
        H=-\sum_{ij}V(\vec r_i, d_i, \vec r_j, d_j)
      \]
      \[
        p=1-e^{-\beta\Delta E}
      \]
    \end{column}
  \end{columns}

\end{frame}

\begin{frame}
  \frametitle{Hard sphere cluster flips with hard potential}
  \begin{columns}
    \begin{column}{0.5\textwidth}
    \end{column}
    \begin{column}{0.5\textwidth}
      \begin{overprint}
        \onslide<1>\includegraphics[width=\textwidth]{figs/hard_box_1.pdf}
        \onslide<2>\includegraphics[width=\textwidth]{figs/hard_box_2.pdf}
        \onslide<3>\includegraphics[width=\textwidth]{figs/hard_box_3.pdf}
        \onslide<4>\includegraphics[width=\textwidth]{figs/hard_box_4.pdf}
        \onslide<5>\includegraphics[width=\textwidth]{figs/hard_box_5.pdf}
        \onslide<6>\includegraphics[width=\textwidth]{figs/hard_box_6.pdf}
        \onslide<7>\includegraphics[width=\textwidth]{figs/hard_box_7.pdf}
        \onslide<8>\includegraphics[width=\textwidth]{figs/hard_box_8.pdf}
        \onslide<9>\includegraphics[width=\textwidth]{figs/hard_box_9.pdf}
        \onslide<10>\includegraphics[width=\textwidth]{figs/hard_box_10.pdf}
        \onslide<11>\includegraphics[width=\textwidth]{figs/hard_box_11.pdf}
        \onslide<12>\includegraphics[width=\textwidth]{figs/hard_box_12.pdf}
        \onslide<13>\includegraphics[width=\textwidth]{figs/hard_box_13.pdf}
        \onslide<14>\includegraphics[width=\textwidth]{figs/hard_box_14.pdf}
        \onslide<15>\includegraphics[width=\textwidth]{figs/hard_box_50.pdf}
        \onslide<16>\includegraphics[width=\textwidth]{figs/hard_box_51.pdf}
      \end{overprint}
    \end{column}
  \end{columns}
\end{frame}

\begin{frame}
  \frametitle{Caveats \& improvements}

  Symmetries of the torus versus all space

  Choice of reflection plane important

  We can do better with free space!
\end{frame}

\begin{frame}
  \frametitle{A better swap?}
\end{frame}

\begin{frame}
  \frametitle{Demo time}
\end{frame}


\end{document}