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\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 {\it Understand why it moves (diffusiophoresis)}: (diffusiophoresis):  how fast and in what direction (on average)? direction?}  \begin{itemize}  \item Depends on whether the particle is charged or not: consider {\it uncharged} for now.  \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 What are the statistics of this motion -- how much variance is there?}