Cato edited Payam.tex  almost 11 years ago

Commit id: 63d74129a34f3a9d4b47e4931131d825e7b56e3d

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\item In \citet{2013PhRvE..87d2723R} page 5, second column, they use dimensional analysis to justify a steady-state approximation used in the paper: the time taken to establish the fluid velocity profile around a section of DNA must be much shorter than the time taken the DNA to ``move past'' the velocity profile.  %  \begin{itemize} \begin{enumerate}  \item I want to try to do a better job than Payam's scaling argument: what are the coefficients in the ``$\# \ll 1$'' relationship? This might be interesting because of a problem acknowledged in Payam's other paper: his predictions do not fit the experimental data.  \item Is there a mistake in the dimensional analysis? I think $t_{\rm h}\sim \ell/c_{\rm s}$ on physical grounds, but Payam says $t_{\rm h}\sim \ell^2\rho/\eta$ from dimensional analysis. Are these compatible? 

\end{itemize}  \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{itemize} \end{enumerate}  \item Where does the {\it nonequilibrium} stuff happen? There is no mention of linear response or anything like that.  \end{enumerate}