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}