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Cato edited Payam and DNA.tex
almost 11 years ago
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\begin{enumerate}
\item What happens if an {\it interior} or bulk DNA piece approaches the pore?
\item In \citet{2013PhRvE..87d2723R} page 5, it is claimed that
DNA motion will
be occur in a superposition of longitudinal and
transverse. transverse orientiations (i.e. along the longest dimension, or perpendicular to it). Is this true -- won't one of them be
unstable (in unstable? What is the
case where work done effect of $T$ in
dragging is less than $T$, say)? randomising the orientation?
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\begin{itemize}
\item Reading: \citet{Binder_1939}, \citet{Burgers_1995}
\item Drag resistances
(for elongated/prolate bodies) from \citet{Burgers_1995}:\\
For a spherical particle: $F_{\rm drag}^{\rm sph}=6\pi\eta a V$.\\
For an end-on ellipsoid: $F_{\rm drag}^{\rm elle}=\frac{4\pi\eta a V}{\ln(2a/b_0)-0.5}$, where $a$ is half the length
(think prolate) and $b_0$ is the equatorial radius.\\
For an end-on cylinder: $F_{\rm drag}^{\rm cyle}=\frac{4\pi\eta a V}{\ln(2a/b)-0.72}$ (slightly higher than ellipsoid).\\
For a face-on ellipsoid: $F_{\rm drag}^{\rm
ellf}=\frac{8\pi\eta ellf}\simeq\frac{8\pi\eta a V}{\ln(2a/b)-0.5}$.\\
For a face-on cylinder: similar to the face-on ellipsoid, but slightly
higher. higher.\\
As expected, the face-on bodies (where the motion is perpendicular to the long axis) encounter more resistance to motion than the end-on bodies -- roughly twice as much, depending on the dimensions. Doesn't this mean that, in steady-state, all the DNA will move in the longitudinal direction?
\item Energy dissipation to viscous fluid. What is energy dissipated by electric field?
\end{itemize}