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Cato edited Swimmers.tex
almost 11 years ago
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\end{enumerate}
\item Then consider a single active swimmer in a concentration gradient. Get superposition of two behaviours?
\end{enumerate}
{\bf ANSWERS}
\subsubsection{Diffusio-phoresis}
For {\it charged} interactions, the mobility $\mu\propto 1/c$. This leads to diffusio-phoretic velocity $V = D\del \log c$. This arises from the balance of osmotic and viscous forces in the Debye layer. The diffusion coefficient $D \sim T/\eta\ell_{\rm B}$, where $\ell_{\rm B}$ is the Bjerrum length (ratio of electrostatic to thermal energy).