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Cato edited Payam and DNA.tex
over 10 years ago
Commit id: dcd1d9d221ff651353522dd74fdcbea55104fdc7
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\item Payam has (equation 12) $v_{\rm DNA}=F_{\rm ext} \ln(\ell/d)/\eta\ell - \lambda E\ln(1+r_{\rm D}/d)/\eta$, which we use to calculate $t_{\rm D}$. He finds $t_{\rm D}\sim \ell\eta/E\lambda$ -- whence this simplification?
\end{enumerate}
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\item {\it Is the elongated jet derivation valid?} (Since integration along length of the DNA may break L\&L's ``weak momentum injection'' assumption.)\\
Yes it {\bf is }valid -- this is
explicitly actually addressed on pp. 2-3: the criterion for the submerged jet formulae
to be valid is the same as the
L\&L criterion for linear fluid velocity dependence.
\item Is there anything to be done about the discrepancy between experiment and observations in the DNA capture paper?
\begin{itemize}
\item The onset of the diffusion-limited regime occurs {\it later} than predicted when varying the DNA length (figure 4a). But when varying the potential difference, the crossover happens earlier.
\item The approximations and order-of-magnitude guesses in the paper mean that we have no reason to expect high-fidelity predictions. They actually do surprisingly well.
\item But there might be a question of internal consistency.
\item I could improve the work by putting error bars on the predictions -- perhaps this will boost faith in the results, or point to some hitherto unaccounted-for issue.
\end{itemize}
\item Is there anything to learn from the inevitable energy dissipation -- from the electric field to the viscous fluid. How much work is done?