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Cato edited Swimmers.tex
almost 11 years ago
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{\bf QUESTIONS}
\begin{enumerate}
\item
{\bf {\it Why do the swimmers float on
top?}} top?}
\item For now consider the simple case of a single inert particle in a (fixed) concentration gradient. Say it moves towards the source of the chemical. It will follow some mean trajectory, but with plenty of scatter. This is an out-of-equilibrium process.
\begin{enumerate}
\item
{\bf {\it Understand why it moves
(diffusiophoresis)}}: (diffusiophoresis)}: how fast and in what direction (on average)?
\begin{itemize}
\item See e.g. \citet{2010PhRvL.104m8302P}, \citet{1982JFM...117..107A}
\item Depends on whether the particle is charged or not.
\end{itemize}
\item {\it
{\bf What are the statistics of this motion -- how much variance is
there?}} there?}
\item {\it
{\bf Which part of this setup is out of
equilibrium?}} equilibrium?}
\item {\it What does the scatter in trajectories tell us about the system?} Anything useful? Use linear-response theory (is this justified? Why?).
\end{enumerate}
\item
{\it Then consider a single active swimmer in a concentration gradient.
Get superposition Do we get a simplesuperposition of two
behaviours? behaviours?}
\begin{itemize}
\item Re-read \citet{2005PhRvL..94v0801G}. Read \citet{2009JPCM...21t4104G}.
\end{itemize}