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\section{Jeremie: \section{Jeremie's Experiment:  Clustering} Read \cite{http://adsabs.harvard.edu/abs/2012PhRvL.108z8303T} and others.   Want to understand how clusters form, why When there are many swimmers,  they form clusters (read \cite{http://adsabs.harvard.edu/abs/2012PhRvL.108z8303T} and others). These clusters  are dynamic, what is the probability of breaking very dynamic  / re-forming, what is the size distribution. Can do this statistically or mechanically. ``liquid''.  Solve I want to understand:   \begin{enumerate}   \item how and why clusters form   \item why they are dynamic   \item what is the probability of breaking / re-forming (detailed balance / steady-state?)   \item what is the size distribution (for a given concentration, activity, \ldots).   \end{enumerate}   I'm sure there are many tools from Matthieu's class which would come in useful.     A first step is to solve the  (coupled) diffusion equation as equations of the medium and (mean field?). This gives coarse, deterministic behaviour. Then need  a first mean field approximation. way into the statistics. Read Matthieu's notes.